@article {BH,
    AUTHOR = {Broadbent, S. R. and Hammersley, J. M.},
     TITLE = {Percolation processes. {I}. {C}rystals and mazes},
   JOURNAL = {Proc. Cambridge Philos. Soc.},
    VOLUME = {53},
      YEAR = {1957},
     PAGES = {629--641},
}


@article {HamMaz94,
    AUTHOR = {Hammersley, J. M. and Mazzarino, G.},
     TITLE = {Properties of large {E}den clusters in the plane},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {3},
      YEAR = {1994},
     PAGES = {471--505},
}

@incollection {HamMaz83,
    AUTHOR = {Hammersley, J. M. and Mazzarino, G.},
     TITLE = {Markov fields, correlated percolation, and the {I}sing model},
 BOOKTITLE = {The mathematics and physics of disordered media (Minneapolis,
              Minn., 1983)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1035},
     PAGES = {201--245},
 PUBLISHER = {Springer},
      YEAR = {1983},
}
@incollection {*HamOrigins,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {Origins of percolation theory},
 BOOKTITLE = {Percolation structures and processes},
    SERIES = {Ann. Israel Phys. Soc.},
    VOLUME = {5},
     PAGES = {47--57},
 PUBLISHER = {Hilger},
   ADDRESS = {Bristol},
      YEAR = {1983},
}
@incollection {*Ham80,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {Percolation},
 BOOKTITLE = {Biological growth and spread (Proc. Conf., Heidelberg, 1979)},
    SERIES = {Lecture Notes in Biomath.},
    VOLUME = {38},
     PAGES = {484--494},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1980},
}
@article {Ham80McD,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {A generalization of {M}c{D}iarmid's theorem for mixed
              {B}ernoulli percolation},
   JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
  FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
              Society},
    VOLUME = {88},
      YEAR = {1980},
     PAGES = {167--170},
}
@article {HamFirstPass,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {First-passage percolation},
   JOURNAL = {J. Roy. Statist. Soc. Ser. B},
  FJOURNAL = {Journal of the Royal Statistical Society. Series B.
              Methodological},
    VOLUME = {28},
      YEAR = {1966},
     PAGES = {491--496},
}
@incollection {HamWelsh,
    AUTHOR = {Hammersley, J. M. and Welsh, D. J. A.},
     TITLE = {First-passage percolation, subadditive processes, stochastic
              networks, and generalized renewal theory},
 BOOKTITLE = {Proc. Internat. Res. Semin., Statist. Lab., Univ. California,
              Berkeley, Calif.},
     PAGES = {61--110},
 PUBLISHER = {Springer},
      YEAR = {1965},
}
@article {HamWalters,
    AUTHOR = {Hammersley, J. M. and Walters, R. S.},
     TITLE = {Percolation and fractional branching processes},
   JOURNAL = {J. Soc. Indust. Appl. Math.},
    VOLUME = {11},
      YEAR = {1963},
     PAGES = {831--839},
}
@article {FrischHam,
    AUTHOR = {Frisch, H. L. and Hammersley, J. M.},
     TITLE = {Percolation processes and related topics},
   JOURNAL = {J. Soc. Indust. Appl. Math.},
    VOLUME = {11},
      YEAR = {1963},
     PAGES = {894--918},
}
@article {VGFH,
    AUTHOR = {Vyssotsky, V. A. and Gordon, S. B. and Frisch, H. L. and
              Hammersley, J. M.},
     TITLE = {Critical percolation probabilities (bond problem)},
   JOURNAL = {Phys. Rev.},
    VOLUME = {123},
      YEAR = {1961},
     PAGES = {1566--1567},
}
@article {HamAtomBond,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {Comparison of atom and bond percolation processes},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {2},
      YEAR = {1961},
     PAGES = {728--733},
}
@incollection {HamBornes,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {Bornes sup\'erieures de la probabilit\'e critique dans un
              processus de filtration},
 BOOKTITLE = {Le Calcul des Probabilit\'es et ses Applications. Paris, 15-20
              Juillet 1958},
     PAGES = {17--37},
 PUBLISHER = {Centre National de la Recherche Scientifique},
      YEAR = {1959},
}
@article {HamLower,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {Percolation processes: {L}ower bounds for the critical
              probability},
   JOURNAL = {Ann. Math. Statist.},
    VOLUME = {28},
      YEAR = {1957},
     PAGES = {790--795},
}
@article {HamCC,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {Percolation processes. {II}. {T}he connective constant},
   JOURNAL = {Proc. Cambridge Philos. Soc.},
    VOLUME = {53},
      YEAR = {1957},
     PAGES = {642--645},
}










@article {DombSykes,
    AUTHOR = {Domb, C. and Sykes, M. F.},
     TITLE = {Cluster size in random mixtures and percolation processes},
   JOURNAL = {Phys. Rev.},
    VOLUME = {122},
      YEAR = {1961},
     PAGES = {77--78},
}



@article {AG,
    AUTHOR = {Aizenman, M. and Grimmett, G.},
     TITLE = {Strict monotonicity for critical points in percolation and
              ferromagnetic models},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {63},
      YEAR = {1991},
     PAGES = {817--835},
}


--------------------------------------------------------------------------------

@article {GriManybody,
    AUTHOR = {Grimmett, G.},
     TITLE = {Potts models and random-cluster processes with many-body
              interactions},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {75},
      YEAR = {1994},
     PAGES = {67--121},
}


@article {CSsitebond,
    AUTHOR = {Chayes, L. and Schonmann, R. H.},
     TITLE = {Mixed percolation as a bridge between site and bond percolation},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {10},
      YEAR = {2000},
     PAGES = {1182--1196},
}



@article {GrimmettStacey,
    AUTHOR = {Grimmett, G. R. and Stacey, A. M.},
     TITLE = {Critical probabilities for site and bond percolation models},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {26},
      YEAR = {1998},
     PAGES = {1788--1812},
}




@article {AiBar87,
    AUTHOR = {Aizenman, M. and Barsky, D. J.},
     TITLE = {Sharpness of the phase transition in percolation models},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {108},
      YEAR = {1987},
     PAGES = {489--526},
}

@article {BarAi91,
    AUTHOR = {Barsky, D. J. and Aizenman, M.},
     TITLE = {Percolation critical exponents under the triangle condition},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {19},
      YEAR = {1991},
     PAGES = {1520--1536},
}


@article {vdBK,
    AUTHOR = {van den Berg, J. and Kesten, H.},
     TITLE = {Inequalities with applications to percolation and reliability},
   JOURNAL = {J. Appl. Probab.},
  FJOURNAL = {Journal of Applied Probability},
    VOLUME = {22},
      YEAR = {1985},
     PAGES = {556--569},
}



@incollection {CPS,
    AUTHOR = {Chayes, J. T. and Puha, A. L. and Sweet, T.},
     TITLE = {Independent and dependent percolation},
 BOOKTITLE = {Probability Theory and Applications (Princeton, NJ, 1996)},
     PAGES = {49--166},
 PUBLISHER = {American Mathematical Society},
      YEAR = {1999},
}





@article {MenshSid,
    AUTHOR = {Menshikov, M. V. and Sidorenko, A. F.},
     TITLE = {Coincidence of critical points in {P}oisson percolation
              models},
   JOURNAL = {Teor. Veroyatnost. i Primenen.},
  FJOURNAL = {Akademiya Nauk SSSR. Teoriya Veroyatnoste\u\i\ i ee
              Primeneniya},
    VOLUME = {32},
      YEAR = {1987},
     PAGES = {603--606},
}

@article {MenshEst,
    AUTHOR = {Menshikov, M. V.},
     TITLE = {Estimates for percolation thresholds for lattices in {${\bf
              R}\sp n$}},
   JOURNAL = {Dokl. Akad. Nauk SSSR},
  FJOURNAL = {Doklady Akademii Nauk SSSR},
    VOLUME = {284},
      YEAR = {1985},
     PAGES = {36--39},
}



@article {Menshikov,
    AUTHOR = {Menshikov, M. V.},
     TITLE = {Coincidence of critical points in percolation problems},
   JOURNAL = {Dokl. Akad. Nauk SSSR},
  FJOURNAL = {Doklady Akademii Nauk SSSR},
    VOLUME = {288},
      YEAR = {1986},
     PAGES = {1308--1311},
}



@inproceedings {Menshikov87,
    AUTHOR = {Menshikov, M. V.},
     TITLE = {Percolation theory. {C}oincidence of the critical values
              {$P\sb H=P\sb T$}},
 BOOKTITLE = {Proceedings of the 1st World Congress of the Bernoulli
              Society, Vol. 1 (Tashkent, 1986)},
     PAGES = {231--234},
 PUBLISHER = {VNU Sci. Press},
      YEAR = {1987},
}

@incollection {MMS,
    AUTHOR = {Menshikov, M. V. and Molchanov, S. A. and Sidorenko,
              A. F.},
     TITLE = {Percolation theory and some applications},
 BOOKTITLE = {Probability theory. Mathematical statistics. Theoretical
              cybernetics, Vol. 24 (Russian)},
     PAGES = {53--110},
      NOTE = {Translated in {\em J. Soviet Math}. {\bf 42} (1988), no. 4,
              1766--1810},
 PUBLISHER = {Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform.},
      YEAR = {1986},
}



@incollection {*MZ,
    AUTHOR = {Menshikov, M. V. and Zuev, S. A.},
     TITLE = {Models of {$\rho$}-percolation},
 BOOKTITLE = {Probabilistic methods in discrete mathematics (Petrozavodsk,
              1992)},
    SERIES = {Progr. Pure Appl. Discrete Math.},
    VOLUME = {1},
     PAGES = {337--347},
 PUBLISHER = {VSP},
   ADDRESS = {Utrecht},
      YEAR = {1993},
}





@article {MSV,
    AUTHOR = {Menshikov, M. and Sidoravicius, V. and Vachkovskaia, M.},
     TITLE = {A note on two-dimensional truncated long-range percolation},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {33},
      YEAR = {2001},
     PAGES = {912--929},
}



@article {MPS,
    AUTHOR = {Menshikov, M. V. and Popov, S. Yu. and Sisko, V. V.},
     TITLE = {On the connection between oriented percolation and contact
              process},
   JOURNAL = {J. Theoret. Probab.},
  FJOURNAL = {Journal of Theoretical Probability},
    VOLUME = {15},
      YEAR = {2002},
     PAGES = {207--221},
}


@article {Reimer,
    AUTHOR = {Reimer, D.},
     TITLE = {Proof of the van den {B}erg--{K}esten conjecture},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {9},
      YEAR = {2000},
     PAGES = {27--32},
}



@article {BezGK,
    AUTHOR = {Bezuidenhout, C. E. and Grimmett, G. R. and Kesten, H.},
     TITLE = {Strict inequality for critical values of {P}otts models and
              random-cluster processes},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {158},
      YEAR = {1993},
     PAGES = {1--16},
}



@article {CCcrit,
    AUTHOR = {Chayes, J. T. and Chayes, L.},
     TITLE = {On the upper critical dimension of {B}ernoulli percolation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {113},
      YEAR = {1987},
     PAGES = {27--48},
}
@article {CCDInhom,
    AUTHOR = {Chayes, J. T. and Chayes, L. and Durrett, R.},
     TITLE = {Inhomogeneous percolation problems and incipient infinite
              clusters},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {20},
      YEAR = {1987},
     PAGES = {1521--1530},
}

@article {CCFS,
    AUTHOR = {Chayes, J. T. and Chayes, L. and Fisher, D. S. and
              Spencer, T.},
     TITLE = {Finite-size scaling and correlation lengths for disordered
              systems},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {57},
      YEAR = {1986},
     PAGES = {2999--3002},
}

@article {CCDCrit,
    AUTHOR = {Chayes, J. T. and Chayes, L. and Durrett, R.},
     TITLE = {Critical behavior of the two-dimensional first passage time},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {45},
      YEAR = {1986},
     PAGES = {933--951},
}


@article {GKFirstPass,
    AUTHOR = {Grimmett, G. and Kesten, H.},
     TITLE = {First-passage percolation, network flows and electrical
              resistances},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
  FJOURNAL = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte
              Gebiete},
    VOLUME = {66},
      YEAR = {1984},
     PAGES = {335--366},
}
@book {KestenBook,
    AUTHOR = {Kesten, H.},
     TITLE = {Percolation Theory for Mathematicians},
      YEAR = {1982},
 PUBLISHER = {Birkh\"auser, iv+423 pp},
      ISBN = {3-7643-3107-0},
}
@article {Kesten1/2,
    AUTHOR = {Kesten, H.},
     TITLE = {The critical probability of bond percolation on the square
              lattice equals {${1\over 2}$}},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {74},
      YEAR = {1980},
     PAGES = {41--59},
}
@incollection {AKNunique,
    AUTHOR = {Aizenman, M. and Kesten, H. and Newman, C. M.},
     TITLE = {Uniqueness of the infinite cluster and related results in
              percolation},
 BOOKTITLE = {Percolation Theory and Ergodic Theory of Infinite Particle
              Systems (Minneapolis, Minn., 1984--1985)},
     PAGES = {13--20},
 PUBLISHER = {Springer},
      YEAR = {1987},
}
@article {Kiic,
    AUTHOR = {Kesten, H.},
     TITLE = {The incipient infinite cluster in two-dimensional percolation},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {73},
      YEAR = {1986},
     PAGES = {369--394},
}
@inproceedings {Kelect,
    AUTHOR = {Kesten, H.},
     TITLE = {Percolation theory and resistance of random electrical
              networks},
 BOOKTITLE = {Proceedings of the International Congress of Mathematicians,
              Vol.\ 1, 2 (Warsaw, 1983)},
     PAGES = {1081--1088},
 PUBLISHER = {PWN},
      YEAR = {1984},
}
@article {GKelect,
    AUTHOR = {Grimmett, G. and Kesten, H.},
     TITLE = {Random electrical networks on complete graphs},
   JOURNAL = {J. London Math. Soc.},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {30},
      YEAR = {1984},
     PAGES = {171--192},
}


@incollection {DK,
    AUTHOR = {Durrett, R. and Kesten, H.},
     TITLE = {The critical parameter for connectedness of some random
              graphs},
 BOOKTITLE = {A tribute to Paul Erd\H os},
     PAGES = {161--176},
 PUBLISHER = {Cambridge University Press},
      YEAR = {1990},
}


@incollection {Kasymp,
    AUTHOR = {Kesten, H.},
     TITLE = {Asymptotics in high dimensions for percolation},
 BOOKTITLE = {Disorder in Physical Systems: A Volume in Honour of John Hammersley},
    EDITOR = {G. R. Grimmett and D. J. A. Welsh},
     PAGES = {219--240},
 PUBLISHER = {Oxford University Press},
      YEAR = {1990},
}

@article {K87firstpass,
    AUTHOR = {Kesten, H.},
     TITLE = {Percolation theory and first-passage percolation},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {15},
      YEAR = {1987},
     PAGES = {1231--1271},
}

@article {GKZ,
    AUTHOR = {Grimmett, G. R. and Kesten, H. and Zhang, Y.},
     TITLE = {Random walk on the infinite cluster of the percolation model},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {96},
      YEAR = {1993},
     PAGES = {33--44},
}
@article {Kspeed,
    AUTHOR = {Kesten, H.},
     TITLE = {On the speed of convergence in first-passage percolation},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {3},
      YEAR = {1993},
     PAGES = {296--338},
}
@article {vdBKfirstpass,
    AUTHOR = {van den Berg, J. and Kesten, H.},
     TITLE = {Inequalities for the time constant in first-passage
              percolation},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {3},
      YEAR = {1993},
     PAGES = {56--80},
}
@book {*ppp,
     TITLE = {Perplexing problems in probability},
    SERIES = {Progress in Probability},
    VOLUME = {44},
    EDITOR = {Bramson, Maury and Durrett, Rick},
      NOTE = {Festschrift in honor of Harry Kesten},
 PUBLISHER = {Birkh\"auser},
      YEAR = {1999},
     PAGES = {x+398},
      ISBN = {0-8176-4093-2},
}
@article {KSZalmost,
    AUTHOR = {Kesten, H. and Sidoravicius, V. and Zhang, Y.},
     TITLE = {Almost all words are seen in critical site percolation on the
              triangular lattice},
   JOURNAL = {Electron. J. Probab.},
  FJOURNAL = {Electronic Journal of Probability},
    VOLUME = {3},
      YEAR = {1998},
     PAGES = {no. 10, 75 pp. (electronic)},
}
@article {KPittel,
    AUTHOR = {Kesten, H. and Pittel, B.},
     TITLE = {A local limit theorem for the number of nodes, the height, and
              the number of final leaves in a critical branching process
              tree},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {8},
      YEAR = {1996},
     PAGES = {243--299},
}
@article {Knonconv,
    AUTHOR = {Kesten, H.},
     TITLE = {On the non-convexity of the time constant in first-passage
              percolation},
   JOURNAL = {Electron. Comm. Probab.},
  FJOURNAL = {Electronic Communications in Probability},
    VOLUME = {1},
      YEAR = {1996},
     PAGES = {no.\ 1, 1--6 (electronic)},
}
@article {BenjK,
    AUTHOR = {Benjamini, I. and Kesten, H.},
     TITLE = {Percolation of arbitrary words in {$\{0,1\}\sp {\bf N}$}},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {23},
      YEAR = {1995},
     PAGES = {1024--1060},
}

@incollection {KFirstPass,
    AUTHOR = {Kesten, H.},
     TITLE = {First-passage percolation},
 BOOKTITLE = {From classical to modern probability},
     PAGES = {93--143},
 PUBLISHER = {Birkh\"auser},
      YEAR = {2003},
}

@inproceedings {*Khighlights,
    AUTHOR = {Kesten, H.},
     TITLE = {Some highlights of percolation},
 BOOKTITLE = {Proceedings of the International Congress of Mathematicians,
              Vol. I (Beijing, 2002)},
     PAGES = {345--362},
 PUBLISHER = {Higher Ed. Press},
      YEAR = {2002},
}
@article {BCKSbirth,
    AUTHOR = {Borgs, C. and Chayes, J. T. and Kesten, H. and Spencer, J.},
     TITLE = {The birth of the infinite cluster: finite-size scaling in
              percolation},
      NOTE = {Dedicated to Joel L. Lebowitz},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {224},
      YEAR = {2001},
     PAGES = {153--204},
}
@article {KSZz2,
    AUTHOR = {Kesten, H. and Sidoravicius, V. and Zhang, Y.},
     TITLE = {Percolation of arbitrary words on the close-packed graph of
              {$\bf Z \sp 2$}},
   JOURNAL = {Electron. J. Probab.},
  FJOURNAL = {Electronic Journal of Probability},
    VOLUME = {6},
      YEAR = {2001},
     PAGES = {no. 4, 27 pp. (electronic)},
}



@article {MayWierusing,
    AUTHOR = {May, William D. and Wierman, J. C.},
     TITLE = {Using symmetry to improve percolation threshold bounds},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {14},
      YEAR = {2005},
     PAGES = {549--566},
}
@inproceedings {WCM,
    AUTHOR = {Wierman, J. C. and Cheng, R. and May, W. D.},
     TITLE = {Estimating bond percolation thresholds using the substitution
              method},
 BOOKTITLE = {Proceedings of the Thirty-Fifth Southeastern International
              Conference on Combinatorics, Graph Theory and Computing},
   JOURNAL = {Congr. Numer.},
  FJOURNAL = {Congressus Numerantium. A Conference Journal on Numerical
              Themes},
    VOLUME = {170},
      YEAR = {2004},
     PAGES = {113--122},
}
@inproceedings {MayWeirrecent,
    AUTHOR = {May, W. D. and Wierman, J. C.},
     TITLE = {Recent improvements to the substitution method for bounding
              percolation thresholds},
 BOOKTITLE = {Proceedings of the Thirty-Fourth Southeastern International
              Conference on Combinatorics, Graph Theory and Computing},
   JOURNAL = {Congr. Numer.},
  FJOURNAL = {Congressus Numerantium. A Conference Journal on Numerical
              Themes},
    VOLUME = {162},
      YEAR = {2003},
     PAGES = {5--25},
}
@article {Wiermanopp,
    AUTHOR = {Wierman, J. C.},
     TITLE = {Pairs of graphs with site and bond percolation critical
              probabilities in opposite orders},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. Combinatorial Algorithms,
              Optimization and Computer Science},
    VOLUME = {129},
      YEAR = {2003},
     PAGES = {545--548},
}
@article {Wierman_Kagome2003,
    AUTHOR = {Wierman, J. C.},
     TITLE = {Upper and lower bounds for the {K}agom\'e lattice bond
              percolation critical probability},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {12},
      YEAR = {2003},
     PAGES = {95--111},
}
@inproceedings {WV-A,
    AUTHOR = {Wierman, J. C. and Vahidi-Asl, M. Q.},
     TITLE = {A conjectured lower bound for bond percolation critical
              probabilities of regular planar graphs},
 BOOKTITLE = {Proceedings of the Thirty-third Southeastern International
              Conference on Combinatorics, Graph Theory and Computing (Boca
              Raton, FL, 2002)},
   JOURNAL = {Congr. Numer.},
  FJOURNAL = {Congressus Numerantium. A Conference Journal on Numerical
              Themes},
    VOLUME = {154},
      YEAR = {2002},
     PAGES = {201--216},
}
@article {WiermanImp,
    AUTHOR = {Wierman, J. C.},
     TITLE = {An improved upper bound for the hexagonal lattice site
              percolation critical probability},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {11},
      YEAR = {2002},
     PAGES = {629--643},
}
@article {WiermanArchim,
    AUTHOR = {Wierman, J. C.},
     TITLE = {Bond percolation critical probability bounds for three
              {A}rchimedean lattices},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {20},
      YEAR = {2002},
     PAGES = {507--518},
}
@article {Wiermanrange,
    AUTHOR = {Wierman, J. C.},
     TITLE = {On the range of bond percolation thresholds for fully
              triangulated graphs},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {35},
      YEAR = {2002},
     PAGES = {959--964},
}
@inproceedings {Wiermansite2,
    AUTHOR = {Wierman, J. C.},
     TITLE = {Site percolation critical probability bounds for the {$(4,8\sp
              2)$} and {$(4,6,12)$} lattices},
 BOOKTITLE = {Proceedings of the Thirty-second Southeastern International
              Conference on Combinatorics, Graph Theory and Computing (Baton
              Rouge, LA, 2001)},
   JOURNAL = {Congr. Numer.},
  FJOURNAL = {Congressus Numerantium. A Conference Journal on Numerical
              Themes},
    VOLUME = {150},
      YEAR = {2001},
     PAGES = {117--128},
}
@incollection {Wiermanmulti,
    AUTHOR = {Wierman, J. C.},
     TITLE = {A multi-type percolation model},
 BOOKTITLE = {Paul Erd\H os and his mathematics (Budapest, 1999)},
     PAGES = {274--277},
 PUBLISHER = {J\'anos Bolyai Math. Soc.},
      YEAR = {1999},
}


@article {AlmWierman,
    AUTHOR = {Alm, S. E. and Wierman, J. C.},
     TITLE = {Inequalities for means of restricted first-passage times in
              percolation theory},
      NOTE = {Random graphs and combinatorial structures (Oberwolfach,
              1997)},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {8},
      YEAR = {1999},
     PAGES = {307--315},
}
@article {WiermanSubstSq,
    AUTHOR = {Wierman, J. C.},
     TITLE = {Substitution method critical probability bounds for the square
              lattice site percolation model},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {4},
      YEAR = {1995},
     PAGES = {181--188},
}
@article {V-AWul,
    AUTHOR = {Vahidi-Asl, M. Q. and Wierman, J. C.},
     TITLE = {Upper and lower bounds for the route length of first-passage
              percolation in {V}orono\u\i\ tessellations},
   JOURNAL = {Bull. Iranian Math. Soc.},
  FJOURNAL = {Iranian Mathematical Society. Bulletin},
    VOLUME = {19},
      YEAR = {1993},
     PAGES = {15--28},
}
@article {AppelWier,
    AUTHOR = {Appel, M. J. B. and Wierman, J. C.},
     TITLE = {{$AB$} percolation on bond-decorated graphs},
   JOURNAL = {J. Appl. Probab.},
  FJOURNAL = {Journal of Applied Probability},
    VOLUME = {30},
      YEAR = {1993},
     PAGES = {153--166},
}
@incollection {V-AWshape,
    AUTHOR = {Vahidi-Asl, M. Q. and Wierman, J. C.},
     TITLE = {A shape result for first-passage percolation on the
              {V}orono\u\i\ tessellation and {D}elaunay triangulation},
 BOOKTITLE = {Random Graphs, Vol.\ 2 (Pozna\'n, 1989)},
     PAGES = {247--262},
 PUBLISHER = {Wiley},
      YEAR = {1992},
}
@incollection {V-AWfirstpass,
    AUTHOR = {Vahidi-Asl, M. Q. and Wierman, J. C.},
     TITLE = {First-passage percolation on the {V}orono\u\i\ tessellation
              and {D}elaunay triangulation},
 BOOKTITLE = {Random Graphs '87 (Pozna\'n, 1987)},
     PAGES = {341--359},
 PUBLISHER = {Wiley},
      YEAR = {1990},
}
@incollection {Wierman_sub1,
    AUTHOR = {Wierman, J. C.},
     TITLE = {Bond percolation critical probability bounds for the
              {K}agom\'e lattice by a substitution method},
 BOOKTITLE = {Disorder in Physical Systems: A Volume in Honour of John Hammersley},
    EDITOR = {G. R. Grimmett and D. J. A. Welsh},
     PAGES = {349--360},
 PUBLISHER = {Oxford University Press},
      YEAR = {1990},
}
@incollection {*WiermanAB,
    AUTHOR = {Wierman, J. C.},
     TITLE = {{$AB$} percolation: a brief survey},
 BOOKTITLE = {Combinatorics and graph theory (Warsaw, 1987)},
    SERIES = {Banach Center Publ.},
    VOLUME = {25},
     PAGES = {241--251},
 PUBLISHER = {PWN},
      YEAR = {1989},
}

@incollection {FisherClust,
    AUTHOR = {Fisher, M. E.},
     TITLE = {Cluster size and percolation theory},
 BOOKTITLE = {Proc. IBM Sci. Comput. Sympos. Combinatorial Problems
              (Yorktown Heights, N.Y., 1964)},
     PAGES = {179--198},
 PUBLISHER = {IBM Data Process. Division, White Plains, N.Y.},
      YEAR = {1966},
}
@article {FisherCritClust,
    AUTHOR = {Fisher, M. E.},
     TITLE = {Critical probabilities for cluster size and percolation
              problems},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {2},
      YEAR = {1961},
     PAGES = {620--627},
}
@article {FisherEssam,
    AUTHOR = {Fisher, M. E. and Essam, J. W.},
     TITLE = {Some cluster size and percolation problems},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {2},
      YEAR = {1961},
     PAGES = {609--619},
}

@article {FisherSykes,
    AUTHOR = {Fisher, M. E. and Sykes, M. F.},
     TITLE = {Excluded-volume problem and the {I}sing model of
              ferromagnetism},
   JOURNAL = {Phys. Rev.},
    VOLUME = {114},
      YEAR = {1959},
     PAGES = {45--58},
}


@article {BollKoha,
    AUTHOR = {Bollob{\'a}s, B. and Kohayakawa, Y.},
     TITLE = {Percolation in high dimensions},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {15},
      YEAR = {1994},
     PAGES = {113--125},
}


@article {CoxDurrett,
    AUTHOR = {Cox, J. T. and Durrett, R.},
     TITLE = {Oriented percolation in dimensions {$d\geq 4$}: bounds and
              asymptotic formulas},
   JOURNAL = {Math. Proc. Cambridge Philos. Soc.},
  FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical
              Society},
    VOLUME = {93},
      YEAR = {1983},
     PAGES = {151--162},
}


@article {HaraSlade90,
    AUTHOR = {Hara, T. and Slade, G.},
     TITLE = {Mean-field critical behaviour for percolation in high
              dimensions},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {128},
      YEAR = {1990},
     PAGES = {333--391},
}

@article {Gordon91,
    AUTHOR = {Gordon, D. M.},
     TITLE = {Percolation in high dimensions},
   JOURNAL = {J. London Math. Soc.},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {44},
      YEAR = {1991},
     PAGES = {373--384},
}

@article {HaraSlade95,
    AUTHOR = {Hara, T. and Slade, G.},
     TITLE = {The self-avoiding-walk and percolation critical points in high
              dimensions},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {4},
      YEAR = {1995},
     PAGES = {197--215},
}

@article {Kselfavoid2,
    AUTHOR = {Kesten, H.},
     TITLE = {On the number of self-avoiding walks. {II}},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {5},
      YEAR = {1964},
     PAGES = {1128--1137},
}
@article {Kselfavoid,
    AUTHOR = {Kesten, H.},
     TITLE = {On the number of self-avoiding walks},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {4},
      YEAR = {1963},
     PAGES = {960--969},
}

@article {BeyerWells,
    AUTHOR = {Beyer, W. A. and Wells, M. B.},
     TITLE = {Lower bound for the connective constant of a self-avoiding
              walk on a square lattice},
   JOURNAL = {J. Combinatorial Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {13},
      YEAR = {1972},
     PAGES = {176--182},
}

@incollection {KasympFK,
    AUTHOR = {Kesten, H.},
     TITLE = {Asymptotics in high dimensions for the {F}ortuin--{K}asteleyn
              random cluster model},
 BOOKTITLE = {Spatial Stochastic Processes: A Festschrift in Honor of Ted Harris on His Seventieth Birthday},
    EDITOR = {K. S. Alexander and J. C. Watkins},
     PAGES = {57--85},
 PUBLISHER = {Birkh\"auser},
      YEAR = {1991},
}

@book {MadrasSlade,
    AUTHOR = {Madras, N. and Slade, G.},
     TITLE = {The Self-avoiding Walk},
      YEAR = {1993},
 PUBLISHER = {Birkh\"auser, xiv+425 pp},
      ISBN = {0-8176-3589-0},
}



@article {BCKM,
    AUTHOR = {Borgs, C. and Chayes, J. and King, C.
              and Madras, N.},
     TITLE = {Anisotropic self-avoiding walks},
      NOTE = {Probabilistic techniques in equilibrium and nonequilibrium
              statistical physics},
   JOURNAL = {J. Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {41},
      YEAR = {2000},
     PAGES = {1321--1337},
}
@article {Madras,
    AUTHOR = {Madras, N.},
     TITLE = {Critical behaviour of self-avoiding walks that cross a square},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {28},
      YEAR = {1995},
     PAGES = {1535--1547},
}

@article {MadrasWu,
    AUTHOR = {Madras, N. and Wu, C. C.},
     TITLE = {Self-avoiding walks on hyperbolic graphs},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {14},
      YEAR = {2005},
     PAGES = {523--548},
}


@article {GuttmannConway01,
    AUTHOR = {Guttmann, A. J. and Conway, A. R.},
     TITLE = {Square lattice self-avoiding walks and polygons},
      NOTE = {Dedicated to the memory of Gian-Carlo Rota (Tianjin, 1999)},
   JOURNAL = {Ann. Comb.},
  FJOURNAL = {Annals of Combinatorics},
    VOLUME = {5},
      YEAR = {2001},
     PAGES = {319--345},
}
@article {CG93lower,
    AUTHOR = {Conway, A. R. and Guttmann, A. J.},
     TITLE = {Lower bound on the connective constant for square lattice
              self-avoiding walks},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {26},
      YEAR = {1993},
     PAGES = {3719--3724},
}
@article {CG93transfer,
    AUTHOR = {Conway, A. R. and Guttmann, A. J.},
     TITLE = {Enumeration of self-avoiding trails on a square lattice using
              a transfer matrix technique},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {26},
      YEAR = {1993},
     PAGES = {1535--1552},
}

@article {ConwayGuttmann96,
    AUTHOR = {Conway, A. R. and Guttmann, A. J.},
     TITLE = {Square lattice self-avoiding walks and corrections to scaling},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {77},
      YEAR = {1996},
     PAGES = {5284--5287},
}


@article {CEG,
    AUTHOR = {Conway, A. R. and Enting, I. G. and Guttmann, A. J.},
     TITLE = {Algebraic techniques for enumerating self-avoiding walks on
              the square lattice},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {26},
      YEAR = {1993},
     PAGES = {1519--1534},
}

@article {HamMorton,
    AUTHOR = {Hammersley, J. M. and Morton, K. W.},
     TITLE = {Poor man's {M}onte {C}arlo},
   JOURNAL = {J. Roy. Statist. Soc. Ser. B.},
  FJOURNAL = {Journal of the Royal Statistical Society. Series B.
              Methodological},
    VOLUME = {16},
      YEAR = {1954},
     PAGES = {23--38; discussion 61--75},
}


@article {BGKstrict,
    AUTHOR = {Bezuidenhout, C. E. and Grimmett, G. R. and Kesten, H.},
     TITLE = {Strict inequality for critical values of {P}otts models and
              random-cluster processes},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {158},
      YEAR = {1993},
     PAGES = {1--16},
}

@article {FKG,
    AUTHOR = {Fortuin, C. M. and Kasteleyn, P. W. and Ginibre, J.},
     TITLE = {Correlation inequalities on some partially ordered sets},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {22},
      YEAR = {1971},
     PAGES = {89--103},
}

@article {Sykescounting,
    AUTHOR = {Sykes, M. F.},
     TITLE = {Some counting theorems in the theory of the {I}sing model and
              the excluded volume problem},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {2},
      YEAR = {1961},
     PAGES = {52--62},
}

@article {Jensen,
    AUTHOR = {Jensen, I.},
     TITLE = {Improved lower bounds on the connective constants for
              two-dimensional self-avoiding walks},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {37},
      YEAR = {2004},
     PAGES = {11521--11529},
}

@article {PoTi,
    AUTHOR = {P{\"o}nitz, A. and Tittmann, P.},
     TITLE = {Improved upper bounds for self-avoiding walks in {${\bf Z}\sp
              d$}},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {7},
      YEAR = {2000},
     PAGES = {Research Paper 21, 10 pp. (electronic)},
}

@book {MGT,
    AUTHOR = {Bollob{\'a}s, B.},
     TITLE = {Modern Graph Theory},
      YEAR = {1998},
 PUBLISHER = {Springer, xiv+394 pp},
      ISBN = {0-387-98488-7},
}

@article {HamPolygons,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {The number of polygons on a lattice},
   JOURNAL = {Proc. Cambridge Philos. Soc.},
    VOLUME = {57},
      YEAR = {1961},
     PAGES = {516--523},
}

%by hand
@article {GSR,
    AUTHOR = {Gaunt, D. S. and Sykes, M. F. and Ruskin, H.},
     TITLE = {Percolation processes in $d$-dimensions},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {9},
      YEAR = {1976},
     PAGES = {1899--1911},
}

%by hand
@article {GR,
    AUTHOR = {Gaunt, D. S. and Ruskin, H.},
     TITLE = {Bond percolation processes in $d$-dimensions},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {11},
      YEAR = {1978},
     PAGES = {1369--1380},
}


@article {Higuchi,
    AUTHOR = {Higuchi, Y.},
     TITLE = {Coexistence of the infinite {$(\sp{\ast} )$} clusters: a
              remark on the square lattice site percolation},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
  FJOURNAL = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte
              Gebiete},
    VOLUME = {61},
      YEAR = {1982},
     PAGES = {75--81},
}

@preamble{
   "\def\cprime{$'$} "
}

@article {Menshstrict,
    AUTHOR = {Menshikov, M. V.},
     TITLE = {Quantitative estimates and strong inequalities for the
              critical points of a graph and its subgraph},
   JOURNAL = {Teor. Veroyatnost. i Primenen.},
  FJOURNAL = {Akademiya Nauk SSSR. Teoriya Veroyatnoste\u\i\ i ee
              Primeneniya},
    VOLUME = {32},
      YEAR = {1987},
     PAGES = {599--602},
}

@article {Jensen_71,
    AUTHOR = {Jensen, I.},
     TITLE = {Enumeration of self-avoiding walks on the square lattice},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {37},
      YEAR = {2004},
     PAGES = {5503--5524},
}

@article {HLR,
    AUTHOR = {Holroyd, A. E. and Liggett, T. M. and Romik, D.},
     TITLE = {Integrals, partitions, and cellular automata},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {356},
      YEAR = {2004},
     PAGES = {3349--3368 (electronic)},
}

@article {Holroydsharp,
    AUTHOR = {Holroyd, A. E.},
     TITLE = {Sharp metastability threshold for two-dimensional bootstrap
              percolation},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {125},
      YEAR = {2003},
     PAGES = {195--224},
}

@inproceedings {BaloghPete,
    AUTHOR = {Balogh, J{\'o}zsef and Pete, G{\'a}bor},
     TITLE = {Random disease on the square grid},
 BOOKTITLE = {Proceedings of the Eighth International Conference ``Random
              Structures and Algorithms'' (Poznan, 1997)},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {13},
      YEAR = {1998},
     PAGES = {409--422},
}

@article {CerfCirillo,
    AUTHOR = {Cerf, Rapha{\"e}l and Cirillo, Emilio N. M.},
     TITLE = {Finite size scaling in three-dimensional bootstrap
              percolation},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {27},
      YEAR = {1999},
     PAGES = {1837--1850},
}

@article {Schonmann_autom,
    AUTHOR = {Schonmann, R. H.},
     TITLE = {On the behavior of some cellular automata related to bootstrap
              percolation},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {20},
      YEAR = {1992},
     PAGES = {174--193},
}

@article {CerfManzo,
    AUTHOR = {Cerf, R. and Manzo, F.},
     TITLE = {The threshold regime of finite volume bootstrap percolation},
   JOURNAL = {Stochastic Process. Appl.},
  FJOURNAL = {Stochastic Processes and their Applications},
    VOLUME = {101},
      YEAR = {2002},
     PAGES = {69--82},
}

@article {GravnerGriffeath,
    AUTHOR = {Gravner, J. and Griffeath, D.},
     TITLE = {Cellular automaton growth on {${\bf Z}\sp 2$}: theorems,
              examples, and problems},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {21},
      YEAR = {1998},
     PAGES = {241--304},
}

@book {Kolmogorov,
    AUTHOR = {Kolmogorov, A. N.},
     TITLE = {Foundations of the Theory of Probability},
      NOTE = {English translation edited by Nathan Morrison, with an added
bibliography by A. T. Bharucha-Reid; the translation is based on
the original German monograph,
which appeared in Ergebnisse der Mathematik in 1933,
and also on the Russian translation by G. M. Bavli, published
in 1936},
      YEAR = {1956},
 PUBLISHER = {Chelsea, viii+84 pp},
}

@incollection {CC,
    AUTHOR = {Chayes, J. T. and Chayes, L.},
     TITLE = {Percolation and random media},
 BOOKTITLE = {Ph\'enom\`enes Critiques, Syst\`emes Al\'eatoires, Th\'eories
              de Jauge, Part I, II (Les Houches, 1984)},
     PAGES = {1001--1142},
 PUBLISHER = {North-Holland},
      YEAR = {1986},
}

@article {ACCFR,
    AUTHOR = {Aizenman, M. and Chayes, J. T. and Chayes, L. and
              Fr{\"o}hlich, J. and Russo, L.},
     TITLE = {On a sharp transition from area law to perimeter law in a
              system of random surfaces},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {92},
      YEAR = {1983},
     PAGES = {19--69},
}

@article {Smirnov,
    AUTHOR = {Smirnov, S.},
     TITLE = {Critical percolation in the plane: conformal invariance,
              {C}ardy's formula, scaling limits},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {333},
      YEAR = {2001},
     PAGES = {239--244},
}

@article {BBWsquare,
    AUTHOR = {Balister, P. and Bollob{\'a}s, B. and Walters, M.},
     TITLE = {Continuum percolation with steps in the square or the disc},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {26},
      YEAR = {2005},
     PAGES = {392--403},
}

@article {AD-fft,
    AUTHOR = {Ahlswede, R. and Daykin, D. E.},
     TITLE = {An inequality for the weights of two families of sets, their
              unions and intersections},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {43},
      YEAR = {1978},
     PAGES = {183--185},
}

@article {MR1825144,
    AUTHOR = {van den Berg, J. and Kahn, J.},
     TITLE = {A correlation inequality for connection events in percolation},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {29},
      YEAR = {2001},
     PAGES = {123--126},
}

@article {Kleitman,
    AUTHOR = {Kleitman, D. J.},
     TITLE = {Families of non-disjoint subsets},
   JOURNAL = {J. Combinatorial Theory},
    VOLUME = {1},
      YEAR = {1966},
     PAGES = {153--155},
}

@article {ANdecay,
    AUTHOR = {Aizenman, M. and Newman, C. M.},
     TITLE = {Tree graph inequalities and critical behavior in percolation
              models},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {36},
      YEAR = {1984},
     PAGES = {107--143},
}

@article {Kesten_decay,
    AUTHOR = {Kesten, H.},
     TITLE = {Analyticity properties and power law estimates of functions in
              percolation theory},
   JOURNAL = {J. Statist. Phys.},
    VOLUME = {25},
      YEAR = {1981},
     PAGES = {717--756},
}

@article {deBruijnErdos,
    AUTHOR = {de Bruijn, N. G. and Erd{\H o}s, P.},
     TITLE = {Some linear and some quadratic recursion formulas. {II}},
   JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A. {\bf 55} = Indagationes
              Math.},
    VOLUME = {14},
      YEAR = {1952},
     PAGES = {152--163},
}

@article {Fekete,
    AUTHOR = {Fekete, M.},
     TITLE = {\"{U}ber die {V}erteilung der {W}urzeln bei gewissen
              algebraischen {G}leichungen mit ganzzahligen {K}oeffizienten},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {17},
      YEAR = {1923},
     PAGES = {228--249},
}

**************************************************************

@article {Harris,
    AUTHOR = {Harris, T. E.},
     TITLE = {A lower bound for the critical probability in a certain
              percolation process},
   JOURNAL = {Proc. Cambridge Philos. Soc.},
    VOLUME = {56},
      YEAR = {1960},
     PAGES = {13--20},
}

@article {HammersleyLB,
    AUTHOR = {Hammersley, J. M.},
     TITLE = {Percolation processes: {L}ower bounds for the critical
              probability},
   JOURNAL = {Ann. Math. Statist.},
    VOLUME = {28},
      YEAR = {1957},
     PAGES = {790--795},
}

@article {CC_densineq,
    AUTHOR = {Chayes, J. T. and Chayes, L.},
     TITLE = {Inequality for the infinite-cluster density in {B}ernoulli
              percolation},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {56},
      YEAR = {1986},
     PAGES = {1619--1622},
}

@article {Margulis74,
    AUTHOR = {Margulis, G. A.},
     TITLE = {Probabilistic characteristics of graphs with large
              connectivity},
   JOURNAL = {Problemy Pereda\v ci Informacii},
  FJOURNAL = {Akademiya Nauk SSSR. Institut Problem Peredachi Informatsii
              Akademii Nauk SSSR. Problemy Peredachi Informatsii},
    VOLUME = {10},
      YEAR = {1974},
     PAGES = {101--108},
}

@article {Russo_note,
    AUTHOR = {Russo, L.},
     TITLE = {A note on percolation},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
    VOLUME = {43},
      YEAR = {1978},
     PAGES = {39--48},
}

@article {Russo81,
    AUTHOR = {Russo, L.},
     TITLE = {On the critical percolation probabilities},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
  FJOURNAL = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte
              Gebiete},
    VOLUME = {56},
      YEAR = {1981},
     PAGES = {229--237},
}

@article {NOTMilnor_growth,
    AUTHOR = {Milnor, J.},
     TITLE = {Growth of finitely generated solvable groups},
   JOURNAL = {J. Differential Geometry},
  FJOURNAL = {Journal of Differential Geometry},
    VOLUME = {2},
      YEAR = {1968},
     PAGES = {447--449},
}

@article {Grigorchuk_growth,
    AUTHOR = {Grigorchuk, R. I.},
     TITLE = {Degrees of growth of finitely generated groups and the theory
              of invariant means},
   JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
  FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
    VOLUME = {48},
      YEAR = {1984},
     PAGES = {939--985},
      NOTE = {English translation: Math. USSR-Izv. 25 (1985), no. 2, 259--300.}
}

@article {BurtonKeane,
    AUTHOR = {Burton, R. M. and Keane, M.},
     TITLE = {Density and uniqueness in percolation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {121},
      YEAR = {1989},
     PAGES = {501--505},
}

@article {NewmanSchulman,
    AUTHOR = {Newman, C. M. and Schulman, L. S.},
     TITLE = {Infinite clusters in percolation models},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {26},
      YEAR = {1981},
     PAGES = {613--628},
}

@article {SykesEssam64,
    AUTHOR = {Sykes, M. F. and Essam, J. W.},
     TITLE = {Exact critical percolation probabilities for site and bond
              problems in two dimensions},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {5},
      YEAR = {1964},
     PAGES = {1117--1127},
}

@article {SykesEssamPRL,
    AUTHOR = {Sykes, M. F. and Essam, J. W.},
     TITLE = {Some exact critical percolation probabilities for site and bond
              problems in two dimensions},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {10},
      YEAR = {1963},
     PAGES = {3--4},
}

@article {Russo01,
    AUTHOR = {Russo, L.},
     TITLE = {An approximate zero-one law},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
  FJOURNAL = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte
              Gebiete},
    VOLUME = {61},
      YEAR = {1982},
     PAGES = {129--139},
}

@article {WiermanHoneycomb,
    AUTHOR = {Wierman, J. C.},
     TITLE = {Bond percolation on honeycomb and triangular lattices},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {13},
      YEAR = {1981},
     PAGES = {298--313},
}

@article {MR775849,
    AUTHOR = {T{\'o}th, B.},
     TITLE = {A lower bound for the critical probability of the square
              lattice site percolation},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
  FJOURNAL = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte
              Gebiete},
    VOLUME = {69},
      YEAR = {1985},
     PAGES = {19--22},
}

@article {Wierman_splus,
    AUTHOR = {Wierman, J. C.},
     TITLE = {A bond percolation critical probability determination based on
              the star-triangle transformation},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {17},
      YEAR = {1984},
     PAGES = {1525--1530},
}

@article {MR1994,
    AUTHOR = {Meester, R. and Roy, R.},
     TITLE = {Uniqueness of unbounded occupied and vacant components in
              {B}oolean models},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {4},
      YEAR = {1994},
     PAGES = {933--951},
}

%by hand
@article {Hall,
    AUTHOR = {Hall, P.},
     TITLE = {On representatives of subsets},
   JOURNAL = {J. London Math. Soc.},
  FJOURNAL = {Journal of the London Mathematical Society},
    VOLUME = {10},
      YEAR = {1935},
     PAGES = {26--30},
}

@article {Kesten_rig,
    AUTHOR = {Kesten, H.},
     TITLE = {Recent progress in rigorous percolation theory},
      NOTE = {Colloque Paul L\'evy sur les Processus Stochastiques
              (Palaiseau, 1987)},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
      YEAR = {1988},
     PAGES = {217--231},
}

@article {BBS2000,
    AUTHOR = {Balister, P. N. and Bollob{\'a}s, B. and Stacey, A. M.},
     TITLE = {Dependent percolation in two dimensions},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {117},
      YEAR = {2000},
     PAGES = {495--513},
}
@article {BBS99,
    AUTHOR = {Balister, P. and Bollob{\'a}s, B. and Stacey, A.},
     TITLE = {Counting boundary paths for oriented percolation clusters},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {14},
      YEAR = {1999},
     PAGES = {1--28},
}
@article {BBS94,
    AUTHOR = {Balister, P. and Bollob{\'a}s, B. and Stacey, A.},
     TITLE = {Improved upper bounds for the critical probability of oriented
              percolation in two dimensions},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {5},
      YEAR = {1994},
     PAGES = {573--589},
}
@article {BBS93,
    AUTHOR = {Balister, P. and Bollob{\'a}s, B. and Stacey, A.},
     TITLE = {Upper bounds for the critical probability of oriented
              percolation in two dimensions},
   JOURNAL = {Proc. Roy. Soc. London Ser. A},
  FJOURNAL = {Proceedings of the Royal Society. London. Series A.
              Mathematical, Physical and Engineering Sciences},
    VOLUME = {440},
      YEAR = {1993},
     PAGES = {201--220},
}


@article {Liggett_dep,
    AUTHOR = {Liggett, T. M.},
     TITLE = {Survival of discrete time growth models, with applications to
              oriented percolation},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {5},
      YEAR = {1995},
     PAGES = {613--636},
}

@article {BS_oriented,
    AUTHOR = {Bollob{\'a}s, B. and Stacey, A.},
     TITLE = {Approximate upper bounds for the critical probability of
              oriented percolation in two dimensions based on rapidly mixing
              {M}arkov chains},
   JOURNAL = {J. Appl. Probab.},
  FJOURNAL = {Journal of Applied Probability},
    VOLUME = {34},
      YEAR = {1997},
     PAGES = {859--867},
}
@article {HL78,
    AUTHOR = {Holley, R. and Liggett, T. M.},
     TITLE = {The survival of contact processes},
   JOURNAL = {Ann. Probability},
    VOLUME = {6},
      YEAR = {1978},
     PAGES = {198--206},
}

@book {GRimmett2nd,
    AUTHOR = {Grimmett, G.},
     TITLE = {Percolation},
   EDITION = {Second},
      YEAR = {1999},
 PUBLISHER = {Springer, xiv+444 pp},
      ISBN = {3-540-64902-6},
}

@book {Grimmett1st,
    AUTHOR = {Grimmett, G.},
     TITLE = {Percolation},
      YEAR = {1989},
 PUBLISHER = {Springer, xii+296 pp},
      ISBN = {0-387-96843-1},
}

%by hand
@article {Dhar82_1,
    AUTHOR = {Dhar, D.},
     TITLE = {Diode-resistor percolation in two and three dimensions:
{I}. {U}pper bounds on the critical probability},
   JOURNAL = {J. Phys. A},
    VOLUME = {15},
      YEAR = {1982},
     PAGES = {1849--1858},
}


@article {Durrett_oriented,
    AUTHOR = {Durrett, R.},
     TITLE = {Oriented percolation in two dimensions},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {12},
      YEAR = {1984},
     PAGES = {999--1040},
}

%by hand
@article {KV80,
    AUTHOR = {Kert\'esz, J. and Vicsek, T.},
     TITLE = {Oriented bond percolation},
   JOURNAL = {J. Phys. C},
    VOLUME = {13},
      YEAR = {1980},
     PAGES = {L343--L348},
}

@article {SW,
    AUTHOR = {Seymour, P. D. and Welsh, D. J. A.},
     TITLE = {Percolation probabilities on the square lattice},
   JOURNAL = {Ann. Discrete Math.},
    VOLUME = {3},
      YEAR = {1978},
     PAGES = {227--245},
}
      NOTE = {Advances in graph theory (Cambridge Combinatorial Conf.,
              Trinity College, Cambridge, 1977)},


@article {LSS,
    AUTHOR = {Liggett, T. M. and Schonmann, R. H. and Stacey, A. M.},
     TITLE = {Domination by product measures},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {25},
      YEAR = {1997},
     PAGES = {71--95},
}

@article {vdBF,
    AUTHOR = {van den Berg, J. and Fiebig, U.},
     TITLE = {On a combinatorial conjecture concerning disjoint occurrences
              of events},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {15},
      YEAR = {1987},
     PAGES = {354--374},
}

@article{BRKesten,
    AUTHOR = {Bollob{\'a}s, B. and Riordan, O.},
     TITLE = {A short proof of the {H}arris--{K}esten {T}heorem},
   JOURNAL = {Bull. London Math. Soc.},
  FJOURNAL = {Bulletin of the London Mathematical Society},
      YEAR = {2006},
}

@article{BRVoronoi,
    AUTHOR = {Bollob{\'a}s, B. and Riordan, O.},
     TITLE = {The critical probability for random {V}oronoi percolation in the plane is $1/2$},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
      YEAR = {2006},
}

@article{BRmiddle,
    AUTHOR = {Bollob{\'a}s, B. and Riordan, O.},
     TITLE = {Sharp thresholds and percolation in the plane},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
      YEAR = {2006},
}


@misc{BRdual,
    AUTHOR = {Bollob{\'a}s, B. and Riordan, O.},
     TITLE = {Some remarks on percolation},
HOWPUBLISHED = {Preprint},
      YEAR = {2006},
}

@misc{RW,
    AUTHOR = {Riordan, O. and Walters, M.},
     TITLE = {Rigorous confidence intervals for critical probabilities},
HOWPUBLISHED = {Preprint},
      YEAR = {2006},
}

@article {Langlands_confinvar,
    AUTHOR = {Langlands, R. and Pouliot, P. and Saint-Aubin, Y.},
     TITLE = {Conformal invariance in two-dimensional percolation},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {30},
      YEAR = {1994},
     PAGES = {1--61},
}

@article {ZiffNewman_scaling,
    AUTHOR = {Ziff, R. M. and Newman, M. E. J.},
     TITLE = {Convergence of threshold estimates for two-dimensional
              percolation},
   JOURNAL = {Phys. Rev. E},
  FJOURNAL = {Physical Review E. Statistical, Nonlinear, and Soft Matter
              Physics},
    VOLUME = {66},
      YEAR = {2002},
     PAGES = {016129, 10},
}

%by hand
@article {NewmanZiff_fast,
    AUTHOR = {Newman, M. E. J. and Ziff, R. M.},
     TITLE = {Fast {M}onte {C}arlo algorithm for site or bond percolation},
   JOURNAL = {Phys. Rev. E},
  FJOURNAL = {Physical Review E. Statistical, Nonlinear, and Soft Matter
              Physics},
    VOLUME = {64},
      YEAR = {2001},
     PAGES = {016706, 16},
}

%by hand
@article {NewmanZiff_efficient,
    AUTHOR = {Newman, M. E. J. and Ziff, R. M.},
     TITLE = {Efficient {M}onte {C}arlo algorithm and high-precision results for percolation},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {85},
      YEAR = {2000},
     PAGES = {4104--4107},
}

@misc {WP,
    AUTHOR = {Wierman, J. C. and Parviainen, R.},
    TITLE = {Ordering bond percolation critical probabilities},
   YEAR = {2003}
}

%by hand
%% year is a guess
@misc {Parv_est,
    AUTHOR = {Parviainen, R.},
    TITLE = {Estimation of bond percolation thresholds on the {A}rhimedean lattices},
    HOWPUBLISHED = {Preprint available from\break http://www.ms.unimelb.edu.au/$\sim$robertp/},
    YEAR = {2005},
}

@article {AKN_unique,
    AUTHOR = {Aizenman, M. and Kesten, H. and Newman, C. M.},
     TITLE = {Uniqueness of the infinite cluster and continuity of
              connectivity functions for short and long range percolation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {111},
      YEAR = {1987},
     PAGES = {505--531},
}

@incollection {*AKN_unique_conf,
    AUTHOR = {Aizenman, M. and Kesten, H. and Newman, C. M.},
     TITLE = {Uniqueness of the infinite cluster and related results in
              percolation},
 BOOKTITLE = {Percolation theory and ergodic theory of infinite particle
              systems (Minneapolis, Minn., 1984--1985)},
    SERIES = {IMA Vol. Math. Appl.},
    VOLUME = {8},
     PAGES = {13--20},
 PUBLISHER = {Springer},
      YEAR = {1987},
}

@article {Grimmett_number,
    AUTHOR = {Grimmett, G. R.},
     TITLE = {On the number of clusters in the percolation model},
   JOURNAL = {J. London Math. Soc.},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {13},
      YEAR = {1976},
     PAGES = {346--350},
}

@article {GKN_unqiue2,
    AUTHOR = {Gandolfi, A. and Keane, M. S. and Newman, C. M.},
     TITLE = {Uniqueness of the infinite component in a random graph with
              applications to percolation and spin glasses},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {92},
      YEAR = {1992},
     PAGES = {511--527},
}

@article {GKR88,
    AUTHOR = {Gandolfi, A. and Keane, M. and Russo, L.},
     TITLE = {On the uniqueness of the infinite occupied cluster in
              dependent two-dimensional site percolation},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {16},
      YEAR = {1988},
     PAGES = {1147--1157},
}

@incollection {vdBKeane,
    AUTHOR = {van den Berg, J. and Keane, M.},
     TITLE = {On the continuity of the percolation probability function},
 BOOKTITLE = {Conference in Modern Analysis and Probability (New Haven,
              Conn., 1982)},
     PAGES = {61--65},
 PUBLISHER = {American Mathematical Society},
      YEAR = {1984},
}

@article {Gandolfi89,
    AUTHOR = {Gandolfi, A.},
     TITLE = {Uniqueness of the infinite cluster for stationary {G}ibbs
              states},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {17},
      YEAR = {1989},
     PAGES = {1403--1415},
}

@article {GGR_unique,
    AUTHOR = {Gandolfi, A. and Grimmett, G. and Russo, L.},
     TITLE = {On the uniqueness of the infinite cluster in the percolation
              model},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {114},
      YEAR = {1988},
     PAGES = {549--552},
}

%GKN_u2 is generalization to some kind of long-range
%GKR88 is funny measures in 2d
%Fisher61 site
%Gandolfi89 is Gibbs d-dim
%GGR simplified

@article {JensenGuttman98,
    AUTHOR = {Jensen, I. and Guttmann, A. J.},
     TITLE = {Self-avoiding walks, neighbour-avoiding walks and trails on
              semiregular lattices},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {31},
      YEAR = {1998},
     PAGES = {8137--8145},
}

%by hand
@article {DharBarma81,
    AUTHOR = {Dhar, D. and Barma, M.},
     TITLE = {Monte {C}arlo simulation of directed percolation on a square lattice},
   JOURNAL = {J. Phys. C},
  FJOURNAL = {Journal of Physics. C. Solid State Physics},
    VOLUME = {14},
      YEAR = {1981},
     PAGES = {L1--L6},
}

@incollection {Mauldon61,
    AUTHOR = {Mauldon, J. G.},
     TITLE = {Asymmetric oriented percolation on a plane},
 BOOKTITLE = {Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. II},
     PAGES = {337--345},
 PUBLISHER = {University of California Press},
      YEAR = {1961},
}

@book {Amb90,
    AUTHOR = {Ambartzumian, R. V.},
     TITLE = {Factorization Calculus and Geometric Probability},
      YEAR = {1990},
 PUBLISHER = {Cambridge University Press, xii+286 pp},
}

@article {BBWann,
    AUTHOR = {Balister, P. and Bollob{\'a}s, B. and Walters, M.},
     TITLE = {Continuum percolation with steps in an annulus},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {14},
      YEAR = {2004},
     PAGES = {1869--1879},
}

@article {G61,
    AUTHOR = {Gilbert, E. N.},
     TITLE = {Random plane networks},
   JOURNAL = {J. Soc. Indust. Appl. Math.},
    VOLUME = {9},
      YEAR = {1961},
     PAGES = {533--543},
}

@article {Hallcont,
    AUTHOR = {Hall, P.},
     TITLE = {On continuum percolation},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {13},
      YEAR = {1985},
     PAGES = {1250--1266},
}

@book {Hallcov,
    AUTHOR = {Hall, P.},
     TITLE = {Introduction to the Theory of Coverage Processes},
 PUBLISHER = {Wiley, xx+408 pp},
      ISBN = {0-471-85702-5},
      YEAR = {1988},
}

@book {MRcont,
    AUTHOR = {Meester, R. and Roy, R.},
     TITLE = {Continuum Percolation},
 PUBLISHER = {Cambridge University Press, x+238 pp},
      YEAR = {1996},
}



@article {Penrose1996,
    AUTHOR = {Penrose, M. D.},
     TITLE = {Continuum percolation and {E}uclidean minimal spanning trees
              in high dimensions},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {6},
      YEAR = {1996},
     PAGES = {528--544},
}

@book {Penrose2003,
    AUTHOR = {Penrose, M. D.},
     TITLE = {Random Geometric Graphs},
      YEAR = {2003},
 PUBLISHER = {Oxford University Press, xiv+330 pp},
}


@book {San76,
    AUTHOR = {Santal{\'o}, L. A.},
     TITLE = {Integral Geometry and Geometric Probability},
      YEAR = {1976},
 PUBLISHER = {Addison-Wesley, xvii+404 pp},
}

@book {SKM87,
    AUTHOR = {Stoyan, D. and Kendall, W. S. and Mecke, J.},
     TITLE = {Stochastic Geometry and its Applications},
 PUBLISHER = {Wiley, 350 pp},
      YEAR = {1987},
      ISBN = {0-471-90510-4},
}

@book {SKM95,
    AUTHOR = {Stoyan, D. and Kendall, W. S. and Mecke, J.},
     TITLE = {Stochastic Geometry and its Applications},
   EDITION = {Second},
 PUBLISHER = {Wiley, 456 pp},
      YEAR = {1995},
      ISBN = {0-471-95099-8},
}


@article {Roy1990,
    AUTHOR = {Roy, R.},
     TITLE = {The {R}usso--{S}eymour--{W}elsh theorem and the equality of
              critical densities and the ``dual'' critical densities for
              continuum percolation on {${\bf R}\sp 2$}},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {18},
      YEAR = {1990},
     PAGES = {1563--1575},
}

@article {MR2135151,
    AUTHOR = {Balister, P. and Bollob{\'a}s, B. and Sarkar, A.
              and Walters, M.},
     TITLE = {Connectivity of random {$k$}-nearest-neighbour graphs},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {37},
      YEAR = {2005},
     PAGES = {1--24},
}

% don't want to refer to?
@article {MR1315578,
    AUTHOR = {Molchanov, I. S.},
     TITLE = {Statistics of the {B}oolean model: from the estimation of
              means to the estimation of distributions},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {27},
      YEAR = {1995},
     PAGES = {63--86},
}
 % not referred to yet
@article {vdBE,
    AUTHOR = {van den Berg, J. and Ermakov, A.},
     TITLE = {A new lower bound for the critical probability of site
              percolation on the square lattice},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {8},
      YEAR = {1996},
     PAGES = {199--212},
}

@article {Roberts67,
    AUTHOR = {Roberts, F. D. K.},
     TITLE = {A {M}onte {C}arlo solution of a two-dimensional unstructured
              cluster problem},
   JOURNAL = {Biometrika},
  FJOURNAL = {Biometrika},
    VOLUME = {54},
      YEAR = {1967},
     PAGES = {625--628},
}

@article {QTZ,
    AUTHOR = {Quintanilla, J. and Torquato, S. and Ziff, R. M.},
     TITLE = {Efficient measurement of the percolation threshold for fully
              penetrable discs},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {33},
      YEAR = {2000},
     PAGES = {L399--L407},
}

%by hand
@article {Rosso,
    AUTHOR = {Rosso, M.},
     TITLE = {Concentration gradient approach to continuum percolation in two dimensions},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {22},
      YEAR = {1989},
     PAGES = {L131--L136},
}

%by hand
@article {GS81,
    AUTHOR = {E.T. Gawlinski and H.E. Stanley},
     TITLE = {Continuum percolation in two dimensions: {M}onte {C}arlo tests of scaling and universality for non-interacting discs},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {14},
      YEAR = {1981},
     PAGES = {L291--L299},
}

%by hand
@article {GR83,
    AUTHOR = {E. T. Gawlinski and S. Redner},
     TITLE = {Monte-{C}arlo renormalisation group for
continuum percolation with excluded-volume interactions},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {146},
      YEAR = {1983},
   PAGES = {1063--1071},
}

%by hand
@article {HZ77,
    AUTHOR = {S.W. Haan and R. Zwanzig},
     TITLE = {Series expansions in a continuum percolation problem},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {10},
      YEAR = {1977},
     PAGES = {1547--1555},
}

%by hand
@article {LOH93,
    AUTHOR = {B. Lorenz and I. Orgzall and H-O. Heuer},
     TITLE = {Universality and cluster structures in continuum models of percolation with two different radius distributions},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {26},
      YEAR = {1993},
     PAGES = {4711--4722},
}

%by hand
@article {Ziff-site,
    AUTHOR = {Ziff, R.},
     TITLE = {Spanning probability in 2D percolation},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {69},
      YEAR = {1992},
     PAGES = {2670--2673},
}

%by hand
@article {ADB,
    AUTHOR = {U. Alon and A. Drory and I. Balberg},
     TITLE = {Systematic derivation of percolation thresholds in continuum systems},
   JOURNAL = {Phys. Rev. A},
  FJOURNAL = {Physical Review A},
    VOLUME = {42},
      YEAR = {1990},
     PAGES = {4634--4638},
}

%by hand
@article {BPSS,
    AUTHOR = {D. R. Baker and G. Paul and S. Sreenivasan and H. E. Stanley},
     TITLE = {Continuum percolation threshold for interpenetrating squares and cubes},
   JOURNAL = {Phys. Rev. E},
  FJOURNAL = {Physical Review E},
    VOLUME = {66},
      YEAR = {2002},
     PAGES = {046136, 5},
}

%by hand
@article {DG,
    AUTHOR = {M.A. Dubson and J.C. Garland},
     TITLE = {Measurement of the conductivity exponent in two-dimensional percolating networks: square lattice versus random-void continuum},
   JOURNAL = {Phys. Rev. B},
  FJOURNAL = {Physical Review B},
    VOLUME = {32},
      YEAR = {1985},
     PAGES = {7621--7623},
}

%by hand
@article {GTDvD,
    AUTHOR = {E.J. Garboczi and M.F. Thorpe and M.S. DeVries and A.R. Day},
     TITLE = {Universal conductivity curve for a plane containing random holes},
   JOURNAL = {Phys. Rev. A},
  FJOURNAL = {Physical Review A},
    VOLUME = {43},
      YEAR = {1991},
     PAGES = {6473--6482},
}

%by hand
@article {PS,
    AUTHOR = {G. E. Pike and C. H. Seager},
     TITLE = {Percolation and conductivity: A computer study. {I}},
   JOURNAL = {Phys. Rev. B},
  FJOURNAL = {Physical Review B},
    VOLUME = {10},
      YEAR = {1974},
     PAGES = {1421--1434},
}

%by hand
@article {SP,
    AUTHOR = {C. H. Seager and G. E. Pike},
     TITLE = {Percolation and conductivity: A computer study. {II}},
   JOURNAL = {Phys. Rev. B},
  FJOURNAL = {Physical Review B},
    VOLUME = {10},
      YEAR = {1974},
     PAGES = {1435--1446},
}

%by hand
@article {QT,
    AUTHOR = {J. Quintanilla and S. Torquato},
     TITLE = {Percolation for a model of statistically inhomogeneous random media},
   JOURNAL = {J. Chem. Phys.},
  FJOURNAL = {Journal of Chemical Physics},
    VOLUME = {111},
      YEAR = {1999},
     PAGES = {5947--5954},
}


%by hand
@article {Fremlin,
    AUTHOR = {D.H. Fremlin},
     TITLE = {The clustering problem: Some {M}onte {C}arlo results},
   JOURNAL = {J. Phys. (France)},
  FJOURNAL = {Journal de Physique.},
    VOLUME = {37},
      YEAR = {1976},
     PAGES = {813--817},
}


%by hand
@article {Domb72,
    AUTHOR = {C. Domb},
     TITLE = {A note on the series expansion method for clustering problems},
   JOURNAL = {Biometrika},
  FJOURNAL = {Biometrika},
    VOLUME = {59},
      YEAR = {1972},
     PAGES = {209--211},
}

%\bibitem{K} P.R. King,
%North Sea Oil and Gas Resevoirs---IIV edited by A.T. Butler, (Graham
%and Trotman, London 1990).


@article {MR1003898,
    AUTHOR = {Sakamoto, Shoichi and Yonezawa, Fumiko and Aoki, Keiko and
              Nos{\'e}, Shuichi and Hori, Motoo},
     TITLE = {Percolation in two-dimensional quasicrystals by {M}onte
              {C}arlo simulations},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {22},
      YEAR = {1989},
     PAGES = {L705--L709},
}

%by hand from Langlands
@article {Y,
    AUTHOR = {Yonezawa, F. and Sakamoto, S. and Aoki, K. and Nos{\'e}, S. and Hori, M.},
     TITLE = {Percolation in {P}enrose tiling and its dual in comparison with analysis for {K}agom\'e, dice and square lattices},
   JOURNAL = {J. Non-Crys. Solids},
    VOLUME = {106},
      YEAR = {1988},
     PAGES = {262--269},
}

@article {BenjaminiSchramm,
    AUTHOR = {Benjamini, I. and Schramm, O.},
     TITLE = {Conformal invariance of {V}oronoi percolation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {197},
      YEAR = {1998},
     PAGES = {75--107},
}

%by hand
@incollection {Aizenman_incipient,
    AUTHOR = {M. Aizenman},
     TITLE = {Scaling limit for the incipient spanning clusters},
 BOOKTITLE = {Mathematics of Multiscale Materials},
    EDITOR = {Golden, K.M. and Grimmett, G.R. and James, R.D. and Milton, G.W. and Sen, P.N.},
 PUBLISHER = {Springer},
      YEAR = {1998},
}

@book {handbook,
     TITLE = {Handbook of Mathematical Functions, with Formulas, Graphs, and
              Mathematical Tables},
    EDITOR = {M. Abramowitz and I. A. Stegun},
      YEAR = {1966},
 PUBLISHER = {Dover, xiv+1046 pp},
}


@article {Cardy92,
    AUTHOR = {Cardy, J. L.},
     TITLE = {Critical percolation in finite geometries},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {25},
      YEAR = {1992},
     PAGES = {L201--L206},
}


@article {ZiffCardy1,
    AUTHOR = {Ziff, R. M.},
     TITLE = {On {C}ardy's formula for the critical crossing probability in
              {$2$}{D} percolation},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {28},
      YEAR = {1995},
     PAGES = {1249--1255},
}

@article {ZiffCardy2,
    AUTHOR = {Ziff, R. M.},
     TITLE = {Proof of crossing formula for {$2$}{D} percolation. {A}ddendum
              to: ``{O}n {C}ardy's formula for the critical crossing
              probability in {$2$}{D} percolation'' [{J}.\ {P}hys.\ {A} {\bf
              28} (1995), no.\ 5, 1249--1255]},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {28},
      YEAR = {1995},
     PAGES = {6479--6480},
}

%by hand
@misc {Smirnov_expanded,
    AUTHOR = {Smirnov, S.},
     TITLE = {Critical percolation in the plane. {I}. {C}onformal invariance
and {C}ardy's formula. {II}. {C}ontinuum scaling limit.},
HOWPUBLISHED = {http://www.math.kth.se/$\sim$stas/papers/},
    YEAR = {2001},
}


@article {BBQVoronoi,
    AUTHOR = {Balister, P. and Bollob{\'a}s, B. and Quas, A.},
     TITLE = {Percolation in {V}oronoi tilings},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {26},
      YEAR = {2005},
     PAGES = {310--318},
}

@article {BBSWknearest,
    AUTHOR = {Balister, P. and Bollob{\'a}s, B. and Sarkar, A.
              and Walters, M.},
     TITLE = {Connectivity of random {$k$}-nearest-neighbour graphs},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {37},
      YEAR = {2005},
     PAGES = {1--24},
}

@book {LinAnal,
    AUTHOR = {Bollob{\'a}s, B.},
     TITLE = {Linear Analysis},
   EDITION = {Second},
      YEAR = {1999},
 PUBLISHER = {Cambridge University Press, xii+240 pp},
      ISBN = {0-521-65577-3},
}

@article {GoQu,
    AUTHOR = {Gonz{\'a}lez-Barrios, J. M. and Quiroz, A. J.},
     TITLE = {A clustering procedure based on the comparison between the
              {$k$} nearest neighbors graph and the minimal spanning tree},
   JOURNAL = {Statist. Probab. Lett.},
  FJOURNAL = {Statistics \& Probability Letters},
    VOLUME = {62},
      YEAR = {2003},
     PAGES = {23--34},
}

@article {Langlands_univ,
    AUTHOR = {Langlands, R. P. and Pichet, C. and Pouliot, Ph. and
              Saint-Aubin, Y.},
     TITLE = {On the universality of crossing probabilities in
              two-dimensional percolation},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {67},
      YEAR = {1992},
     PAGES = {553--574},
}

@article {LLS-A,
    AUTHOR = {Langlands, R. P. and Lewis, M-A. and Saint-Aubin, Y.},
     TITLE = {Universality and conformal invariance for the {I}sing model in
              domains with boundary},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {98},
      YEAR = {2000},
     PAGES = {131--244},
}

@book {Beardon,
    AUTHOR = {Beardon, A. F.},
     TITLE = {Complex Analysis},
      YEAR = {1979},
 PUBLISHER = {Wiley, xiii+239 pp},
      ISBN = {0-471-99671-8},
}

@book {Duren,
    AUTHOR = {Duren, P. L.},
     TITLE = {Univalent Functions},
      YEAR = {1983},
 PUBLISHER = {Springer, xiv+382 pp},
      ISBN = {0-387-90795-5},
}

@article {CNS2,
    AUTHOR = {Camia, F. and Newman, C. M. and Sidoravicius, V.},
     TITLE = {A particular bit of universality: scaling limits of some
              dependent percolation models},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {246},
      YEAR = {2004},
     PAGES = {311--332},
}

@article {CNS1,
    AUTHOR = {Camia, F. and Newman, C. M. and Sidoravicius, V.},
     TITLE = {Cardy's formula for some dependent percolation models},
   JOURNAL = {Bull. Braz. Math. Soc.},
  FJOURNAL = {Bulletin of the Brazilian Mathematical Society. New Series.
              Boletim da Sociedade Brasileira de Matem\'atica},
    VOLUME = {33},
      YEAR = {2002},
     PAGES = {147--156},
}

%by hand
@misc {ChayesLei,
    AUTHOR = {L. Chayes and H. K. Lei},
     TITLE = {Cardy's formula for certain models of the bond-triangular type},
      YEAR = {2006},
HOWPUBLISHED = {http://arxiv.org/abs/math-ph/0601023},
}

%by hand
@misc {Beffara,
AUTHOR = {V. Beffara},
TITLE = {Cardy's formula on the triangular lattice, the easy way},
YEAR = {2005},
HOWPUBLISHED = {Proceedings for a meeting held at the Fields Institute, September 2005.
http://www.umpa.ens-lyon.fr/$\sim$vbeffara/files/Proceedings-Toronto.pdf},
}

%by hand
@misc {Rath,
AUTHOR = {B. R{\'a}th},
TITLE = {Conformal invariance of critical percolation on the triangular lattice},
YEAR = {2005},
HOWPUBLISHED = {Diploma {T}hesis, Institute of Mathematics, Budapest University of
Technology and Economics.
www.math.bme.hu/$\sim$rathb/rbperko.pdf
},
}


@article {SmirnovWerner,
    AUTHOR = {Smirnov, S. and Werner, W.},
     TITLE = {Critical exponents for two-dimensional percolation},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {8},
      YEAR = {2001},
     PAGES = {729--744},
}


@article {vdBJ,
    AUTHOR = {van den Berg, J. and J{\'a}rai, A. A.},
     TITLE = {The lowest crossing in two-dimensional critical percolation},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {31},
      YEAR = {2003},
     PAGES = {1241--1253},
}

@article {MorrowZhang,
    AUTHOR = {Morrow, G. J. and Zhang, Y.},
     TITLE = {The sizes of the pioneering, lowest crossing and pivotal sites
              in critical percolation on the triangular lattice},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {15},
      YEAR = {2005},
     PAGES = {1832--1886},
}

@article {BeffaraSLE,
    AUTHOR = {Beffara, V.},
     TITLE = {Hausdorff dimensions for {$\rm SLE\sb 6$}},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {32},
      YEAR = {2004},
     PAGES = {2606--2629},
}

%by hand
@article {ADA,
    AUTHOR = {M. Aizenman and B. Duplantier and A. Aharony},
     TITLE = {Path-crossing exponents and the external perimeter in 2D percolation},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {83},
      YEAR = {1999},
     PAGES = {1359-1362},
}


@incollection {*MR2112127,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {On the scaling limit of planar self-avoiding walk},
 BOOKTITLE = {Fractal geometry and applications: a jubilee of Beno\^\i t
              Mandelbrot, Part 2},
     PAGES = {339--364},
 PUBLISHER = {American Mathematical Society},
      YEAR = {2004},
}
@article {*MR2045953,
    AUTHOR = {Lawler, G. F. and Werner, W.},
     TITLE = {The {B}rownian loop soup},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {128},
      YEAR = {2004},
     PAGES = {565--588},
}
@article {LSW_lerw,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {Conformal invariance of planar loop-erased random walks and
              uniform spanning trees},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {32},
      YEAR = {2004},
     PAGES = {939--995},
}

@article {LSW_confr,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {Conformal restriction: the chordal case},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {16},
      YEAR = {2003},
     PAGES = {917--955 (electronic)},
}
@article {LSW_anal,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {Analyticity of intersection exponents for planar {B}rownian
              motion},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {189},
      YEAR = {2002},
     PAGES = {179--201},
}
@incollection {LSW_sharp,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {Sharp estimates for {B}rownian non-intersection probabilities},
 BOOKTITLE = {In and out of Equilibrium (Mambucaba, 2000)},
     PAGES = {113--131},
 PUBLISHER = {Birkh\"auser},
      YEAR = {2002},
}
@article {LSW_bie3,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {Values of {B}rownian intersection exponents. {III}.
              {T}wo-sided exponents},
   JOURNAL = {Ann. Inst. H. Poincar\'e Probab. Statist.},
  FJOURNAL = {Annales de l'Institut Henri Poincar\'e. Probabilit\'es et
              Statistiques},
    VOLUME = {38},
      YEAR = {2002},
     PAGES = {109--123},
}
@article {LSW_onearm,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {One-arm exponent for critical 2{D} percolation},
   JOURNAL = {Electron. J. Probab.},
  FJOURNAL = {Electronic Journal of Probability},
    VOLUME = {7},
      YEAR = {2002},
     PAGES = {no. 2, 13 pp. (electronic)},
}
@article {LSW_bie2,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {Values of {B}rownian intersection exponents. {II}. {P}lane
              exponents},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {187},
      YEAR = {2001},
     PAGES = {275--308},
}
@article {LSW_bie1,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {Values of {B}rownian intersection exponents. {I}. {H}alf-plane
              exponents},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {187},
      YEAR = {2001},
     PAGES = {237--273},
}
@article {LSW_4/3b,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {The dimension of the planar {B}rownian frontier is {$4/3$}},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
NOTE = {Printing error corrected},
    VOLUME = {8},
      YEAR = {2001},
     PAGES = {401--411},
}
@article {LSW_4/3a,
    AUTHOR = {Lawler, G. F. and Schramm, O. and Werner, W.},
     TITLE = {The dimension of the planar {B}rownian frontier is {$4/3$}},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {8},
      YEAR = {2001},
     PAGES = {13--23},
}
@article {MR1796962,
    AUTHOR = {Lawler, G. F. and Werner, W.},
     TITLE = {Universality for conformally invariant intersection exponents},
   JOURNAL = {J. Eur. Math. Soc.},
  FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
    VOLUME = {2},
      YEAR = {2000},
     PAGES = {291--328},
}
@article {LawlerWerner,
    AUTHOR = {Lawler, G. F. and Werner, W.},
     TITLE = {Intersection exponents for planar {B}rownian motion},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {27},
      YEAR = {1999},
     PAGES = {1601--1642},
}


@incollection {MR2185781,
    AUTHOR = {Schramm, O.},
     TITLE = {Emergence of symmetry: conformal invariance in scaling limits
              of random systems},
 BOOKTITLE = {European Congress of Mathematics},
     PAGES = {783--786},
 PUBLISHER = {European Mathematical Society},
      YEAR = {2005},
}
@incollection {Schramm_intro,
    AUTHOR = {Schramm, O.},
     TITLE = {Scaling limits of random processes and the outer boundary of
              planar {B}rownian motion},
 BOOKTITLE = {Current Developments in Mathematics, 2000},
     PAGES = {233--253},
 PUBLISHER = {International Press},
      YEAR = {2001},
}
%, Somerville, MA},

@article {SchrammSLE,
    AUTHOR = {Schramm, O.},
     TITLE = {Scaling limits of loop-erased random walks and uniform
              spanning trees},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {118},
      YEAR = {2000},
     PAGES = {221--288},
}

@book {Lang,
    AUTHOR = {Lang, S.},
     TITLE = {Complex Analysis},
   EDITION = {Fourth},
      YEAR = {1999},
 PUBLISHER = {Springer, xiv+485 pp},
      ISBN = {0-387-98592-1},
}

@incollection {Kesten_s1,
    AUTHOR = {Kesten, H.},
     TITLE = {A scaling relation at criticality for {$2$}{D}-percolation},
 BOOKTITLE = {Percolation Theory and Ergodic Theory of Infinite Particle
              Systems (Minneapolis, Minn., 1984--1985)},
     PAGES = {203--212},
 PUBLISHER = {Springer},
      YEAR = {1987},
}

@article {Kesten_IIC,
    AUTHOR = {Kesten, H.},
     TITLE = {The incipient infinite cluster in two-dimensional percolation},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {73},
      YEAR = {1986},
     PAGES = {369--394},
}

@article {Kesten_scaling,
    AUTHOR = {Kesten, H.},
     TITLE = {Scaling relations for {$2$}{D}-percolation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {109},
      YEAR = {1987},
     PAGES = {109--156},
}

%by hand
@article {SudingZiff,
    AUTHOR = {P. N. Suding and R. M. Ziff},
     TITLE = {Site percolation thresholds for Archimedean lattices},
   JOURNAL = {Phys. Rev. E},
  FJOURNAL = {Physical Review E},
    VOLUME = {60},
      YEAR = {1999},
     PAGES = {275--283},
}

@article {Wierman82,
    AUTHOR = {Wierman, J. C.},
     TITLE = {Percolation theory},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {10},
      YEAR = {1982},
     PAGES = {509--524},
}

@article {Dubedat,
    AUTHOR = {Dub{\'e}dat, J.},
     TITLE = {Critical percolation in annuli and {${\rm SLE}\sb 6$}},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {245},
      YEAR = {2004},
     PAGES = {627--637},
}

@article {SD,
    AUTHOR = {Saleur, H. and Duplantier, B.},
     TITLE = {Exact determination of the percolation hull exponent in two
              dimensions},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {58},
      YEAR = {1987},
     PAGES = {2325--2328},
}

%by hand
@article {Grassberger,
   AUTHOR = {P. Grassberger},
  TITLE = {Conductivity exponent and backbone dimension in {2}-d percolation},
  JOURNAL = {Physica A},
 FJOURNAL = {Physica A: Statistical and Theoretical Physics},
 VOLUME = {262},
 YEAR = {1999},
 PAGES = {251--263},
}

%by hand
@article {denNijs,
 AUTHOR = {M. P. M. den Nijs},
 TITLE = {A relation between the temperature exponents of the eight-vertex and q-state {P}otts model},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {12},
      YEAR = {1987},
     PAGES = {1857--1868},
}

@article {FBCMB,
    AUTHOR = {Franceschetti, M. and Booth, L. and Cook, M. and
              Meester, R. and Bruck, J.},
     TITLE = {Continuum percolation with unreliable and spread-out
              connections},
   JOURNAL = {J. Stat. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {118},
      YEAR = {2005},
     PAGES = {721--734},
}


@article {Durrett_cexp,
    AUTHOR = {Durrett, R.},
     TITLE = {Some general results concerning the critical exponents of
              percolation processes},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
  FJOURNAL = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte
              Gebiete},
    VOLUME = {69},
      YEAR = {1985},
     PAGES = {421--437},
}

@article {Hammond_cexp,
    AUTHOR = {Hammond, A.},
     TITLE = {Critical exponents in percolation via lattice animals},
   JOURNAL = {Electron. Comm. Probab.},
  FJOURNAL = {Electronic Communications in Probability},
    VOLUME = {10},
      YEAR = {2005},
     PAGES = {45--59 (electronic)},
}


@article {MR1868996,
    AUTHOR = {Borgs, C. and Chayes, J. T. and Kesten, H. and Spencer, J.},
     TITLE = {The birth of the infinite cluster: finite-size scaling in
              percolation},
      NOTE = {Dedicated to Joel L. Lebowitz},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {224},
      YEAR = {2001},
     PAGES = {153--204},
}

@article {Wu_cexp,
    AUTHOR = {Wu, F. Y.},
     TITLE = {Percolation and the {P}otts model},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {18},
      YEAR = {1978},
     PAGES = {115--123},
}

@article {BCKS_unif,
    AUTHOR = {Borgs, C. and Chayes, J. T. and Kesten, H. and Spencer, J.},
     TITLE = {Uniform boundedness of critical crossing probabilities implies
              hyperscaling},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {15},
      YEAR = {1999},
     PAGES = {368--413},
}

@article {MR1342245,
    AUTHOR = {Li, B. and Madras, N. and Sokal, A. D.},
     TITLE = {Critical exponents, hyperscaling, and universal amplitude
              ratios for two- and three-dimensional self-avoiding walks},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {80},
      YEAR = {1995},
     PAGES = {661--754},
}


@article {Coniglio,
    AUTHOR = {Coniglio, A.},
     TITLE = {Cluster structure near the percolation threshold},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {15},
      YEAR = {1982},
     PAGES = {3829--3844},
}


@article {CC_ucd,
    AUTHOR = {Chayes, J. T. and Chayes, L.},
     TITLE = {On the upper critical dimension of {B}ernoulli percolation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {113},
      YEAR = {1987},
     PAGES = {27--48},
}

@article {Tasaki,
    AUTHOR = {Tasaki, H.},
     TITLE = {Hyperscaling inequalities for percolation},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {113},
      YEAR = {1987},
     PAGES = {49--65},
}

@incollection {Werner_SLEsurvey1,
    AUTHOR = {Werner, W.},
     TITLE = {Random planar curves and {S}chramm--{L}oewner evolutions},
 BOOKTITLE = {Lectures on Probability Theory and Statistics},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1840},
     PAGES = {107--195},
 PUBLISHER = {Springer},
      YEAR = {2004},
}

@article {Werner_SLEsurvey2,
    AUTHOR = {Werner, W.},
     TITLE = {Conformal restriction and related questions},
   JOURNAL = {Probab. Surv.},
  FJOURNAL = {Probability Surveys},
    VOLUME = {2},
      YEAR = {2005},
     PAGES = {145--190 (electronic)},
}

@article {RohdeSchramm,
    AUTHOR = {Rohde, S. and Schramm, O.},
     TITLE = {Basic properties of {SLE}},
   JOURNAL = {Ann. of Math.},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {161},
      YEAR = {2005},
     PAGES = {883--924},
}


@article {KagerNienhuis,
    AUTHOR = {Kager, W. and Nienhuis, B.},
     TITLE = {A guide to stochastic {L}\"owner evolution and its
              applications},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {115},
      YEAR = {2004},
     PAGES = {1149--1229},
}

@article {Cardy_survey,
    AUTHOR = {Cardy, J.},
     TITLE = {S{LE} for theoretical physicists},
   JOURNAL = {Ann. Physics},
  FJOURNAL = {Annals of Physics},
    VOLUME = {318},
      YEAR = {2005},
     PAGES = {81--118},
}

@book {LawlerBook,
    AUTHOR = {Lawler, G. F.},
     TITLE = {Conformally Invariant Processes in the Plane},
      YEAR = {2005},
 PUBLISHER = {American Mathematical Society, xii+242 pp},
}

@incollection {Lawler_intro,
    AUTHOR = {Lawler, G. F.},
     TITLE = {An introduction to the stochastic {L}oewner evolution},
 BOOKTITLE = {Random Walks and Geometry},
    EDITOR = {V. A. Kaimanovich},
     PAGES = {261--293},
 PUBLISHER = {de Gruyter},
      YEAR = {2004},
}
@article {Zhan,
    AUTHOR = {Zhan, D.},
     TITLE = {Stochastic {L}oewner evolution in doubly connected domains},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {129},
      YEAR = {2004},
     PAGES = {340--380},
}

@article {KlebanZagier,
    AUTHOR = {Kleban, P. and Zagier, D.},
     TITLE = {Crossing probabilities and modular forms},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {113},
      YEAR = {2003},
     PAGES = {431--454},
}

@article {Schramm_formula,
    AUTHOR = {Schramm, O.},
     TITLE = {A percolation formula},
   JOURNAL = {Electron. Comm. Probab.},
  FJOURNAL = {Electronic Communications in Probability},
    VOLUME = {6},
      YEAR = {2001},
     PAGES = {115--120 (electronic)},
}

@article {KZ,
    AUTHOR = {Kesten, H. and Zhang, Y.},
     TITLE = {Strict inequalities for some critical exponents in
              two-dimensional percolation},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {46},
      YEAR = {1987},
     PAGES = {1031--1055},
}

@article {Alexander,
    AUTHOR = {Alexander, K. S.},
     TITLE = {The {RSW} theorem for continuum percolation and the {CLT} for
              {E}uclidean minimal spanning trees},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {6},
      YEAR = {1996},
     PAGES = {466--494},
}

%by hand
@misc {Zvavitch,
 AUTHOR = {A. Zvavitch},
  TITLE = {The critical probability for {V}oronoi percolation},
   YEAR = {1996},
 HOWPUBLISHED = {MSc. thesis, Weizmann Institute of Science},
}

@article {BKKKL,
    AUTHOR = {Bourgain, J. and Kahn, J. and Kalai, G. and Katznelson, Y. and Linial, N.},
     TITLE = {The influence of variables in product spaces},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {77},
      YEAR = {1992},
     PAGES = {55--64},
}

%by hand
@misc {KKL,
   AUTHOR = {J. Kahn and G. Kalai and N. Linial},
   TITLE = {The influence of variables on boolean functions},
  YEAR = {1988},
  HOWPUBLISHED = {Proc. 29th Annual Symposium on Foundations of Computer Science, Computer Society Press},
  PAGES = {68--80},
}

@article {FK96,
    AUTHOR = {Friedgut, E. and Kalai, G.},
     TITLE = {Every monotone graph property has a sharp threshold},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {124},
      YEAR = {1996},
     PAGES = {2993--3002},
}

@article {Friedgut2004,
    AUTHOR = {Friedgut, E.},
     TITLE = {Influences in product spaces: {KKL} and {BKKKL} revisited},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {13},
      YEAR = {2004},
     PAGES = {17--29},
}

%by hand
@article {Ottavi,
    AUTHOR = {H. Ottavi},
     TITLE = {Majorant et minorant du seuil de percolation de lien du kagom{\'e}},
     JOURNAL = {J. de Physique},
    FJOURNAL = {Le Journal de Physique},
   VOLUME = {40},
   PAGES = {233--237},
   YEAR = {1979},
}

@article {Jo2001,
    AUTHOR = {Jonasson, J.},
     TITLE = {Optimization of shape in continuum percolation},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {29},
      YEAR = {2001},
     PAGES = {624--635},
}

@article {RT2002,
    AUTHOR = {Roy, R. and Tanemura, H.},
     TITLE = {Critical intensities of {B}oolean models with different
              underlying convex shapes},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {34},
      YEAR = {2002},
     PAGES = {48--57},
}


@article {SteeleTierney,
    AUTHOR = {Steele, J. M. and Tierney, L.},
     TITLE = {Boundary domination and the distribution of the largest
              nearest-neighbor link in higher dimensions},
   JOURNAL = {J. Appl. Probab.},
  FJOURNAL = {Journal of Applied Probability},
    VOLUME = {23},
      YEAR = {1986},
     PAGES = {524--528},
}


@article {PP96,
    AUTHOR = {Penrose, M. D. and Pisztora, Agoston},
     TITLE = {Large deviations for discrete and continuous percolation},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {28},
      YEAR = {1996},
     PAGES = {29--52},
}

@article {Penrose97_longest,
    AUTHOR = {Penrose, M. D.},
     TITLE = {The longest edge of the random minimal spanning tree},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {7},
      YEAR = {1997},
     PAGES = {340--361},
}

@article {Penrose99_kcon,
    AUTHOR = {Penrose, M. D.},
     TITLE = {On {$k$}-connectivity for a geometric random graph},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {15},
      YEAR = {1999},
     PAGES = {145--164},
}

@article {AR02,
    AUTHOR = {Appel, M. J. B. and Russo, R. P.},
     TITLE = {The connectivity of a graph on uniform points on {$[0,1]\sp
              d$}},
   JOURNAL = {Statist. Probab. Lett.},
  FJOURNAL = {Statistics \& Probability Letters},
    VOLUME = {60},
      YEAR = {2002},
     PAGES = {351--357},
}

@article {AR97,
    AUTHOR = {Appel, M. J. B. and Russo, R. P.},
     TITLE = {The minimum vertex degree of a graph on uniform points in
              {$[0,1]\sp d$}},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {29},
      YEAR = {1997},
     PAGES = {582--594},
}

@article {SteeleShepp87,
    AUTHOR = {Steele, J. M. and Shepp, L. A. and Eddy, W. F.},
     TITLE = {On the number of leaves of a {E}uclidean minimal spanning
              tree},
   JOURNAL = {J. Appl. Probab.},
  FJOURNAL = {Journal of Applied Probability},
    VOLUME = {24},
      YEAR = {1987},
     PAGES = {809--826},
}


@article {KestenLee96,
    AUTHOR = {Kesten, H. and Lee, S.},
     TITLE = {The central limit theorem for weighted minimal spanning trees
              on random points},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {6},
      YEAR = {1996},
     PAGES = {495--527},
}

@article {Henze83,
    AUTHOR = {Henze, N.},
     TITLE = {Ein asymptotischer {S}atz \"uber den maximalen
              {M}inimalabstand von unabh\"angigen {Z}ufallsvektoren mit
              {A}nwendung auf einen {A}npassungstest im {${\bf R}\sp{p}$}
              und auf der {K}ugel},
   JOURNAL = {Metrika},
  FJOURNAL = {Metrika. International Journal for Theoretical and Applied
              Statistics},
    VOLUME = {30},
      YEAR = {1983},
     PAGES = {245--259},
}

@article {Shepp72,
    AUTHOR = {Shepp, L. A.},
     TITLE = {Covering the circle with random arcs},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {11},
      YEAR = {1972},
     PAGES = {328--345},
}

@article {Dv56,
    AUTHOR = {Dvoretzky, A.},
     TITLE = {On covering a circle by randomly placed arcs},
   JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
    VOLUME = {42},
      YEAR = {1956},
     PAGES = {199--203},
}

@article {RS68,
    AUTHOR = {R{\'e}nyi, A. and Sulanke, R.},
     TITLE = {Zuf\"allige konvexe {P}olygone in einem {R}inggebiet},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
    VOLUME = {9},
      YEAR = {1968},
     PAGES = {146--157},
}

@article {RS64,
    AUTHOR = {R{\'e}nyi, A. and Sulanke, R.},
     TITLE = {\"{U}ber die konvexe {H}\"ulle von {$n$} zuf\"allig
              gew\"ahlten {P}unkten. {II}},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
    VOLUME = {3},
      YEAR = {1964},
     PAGES = {138--147},
}

@article {RS63,
    AUTHOR = {R{\'e}nyi, A. and Sulanke, R.},
     TITLE = {\"{U}ber die konvexe {H}\"ulle von {$n$} zuf\"allig
              gew\"ahlten {P}unkten},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
    VOLUME = {2},
      YEAR = {1963},
     PAGES = {75--84},
}


@article {BH98,
    AUTHOR = {Br{\"a}ker, H. and Hsing, T.},
     TITLE = {On the area and perimeter of a random convex hull in a bounded
              convex set},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {111},
      YEAR = {1998},
     PAGES = {517--550},
}

@article {BHB98,
    AUTHOR = {Br{\"a}ker, H. and Hsing, T. and Bingham, N. H.},
     TITLE = {On the {H}ausdorff distance between a convex set and an
              interior random convex hull},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {30},
      YEAR = {1998},
     PAGES = {295--316},
}

@article {ARS04,
    AUTHOR = {Athreya, S. and Roy, R. and Sarkar, A.},
     TITLE = {On the coverage of space by random sets},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {36},
      YEAR = {2004},
     PAGES = {1--18},
}

@article {MS03,
    AUTHOR = {Molchanov, I. and Scherbakov, V.},
     TITLE = {Coverage of the whole space},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {35},
      YEAR = {2003},
     PAGES = {898--912},
}

@article {Maehara04,
    AUTHOR = {Maehara, H.},
     TITLE = {On the intersection graph of random caps on a sphere},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {25},
      YEAR = {2004},
     PAGES = {707--718},
}

@incollection {Maehara90,
    AUTHOR = {Maehara, H.},
     TITLE = {On the intersection graph of random arcs on a circle},
 BOOKTITLE = {Random Graphs '87 (Pozna\'n, 1987)},
     PAGES = {159--173},
 PUBLISHER = {Wiley},
      YEAR = {1990},
}

@article {Maehara88,
    AUTHOR = {Maehara, H.},
     TITLE = {A threshold for the size of random caps to cover a sphere},
   JOURNAL = {Ann. Inst. Statist. Math.},
  FJOURNAL = {Annals of the Institute of Statistical Mathematics},
    VOLUME = {40},
      YEAR = {1988},
     PAGES = {665--670},
}

@article {Aldous89,
    AUTHOR = {Aldous, D. J.},
     TITLE = {Stein's method in a two-dimensional coverage problem},
   JOURNAL = {Statist. Probab. Lett.},
  FJOURNAL = {Statistics \& Probability Letters},
    VOLUME = {8},
      YEAR = {1989},
     PAGES = {307--314},
}

@article {Flatto73,
    AUTHOR = {Flatto, L.},
     TITLE = {A limit theorem for random coverings of a circle},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {15},
      YEAR = {1973},
     PAGES = {167--184},
}








@article {MR2138811,
    AUTHOR = {Calka, P. and M{\'e}zin, A. and Vallois, P.},
     TITLE = {Statistical and renewal results for the random sequential
              adsorption model applied to a unidirectional multicracking
              problem},
   JOURNAL = {Stochastic Process. Appl.},
  FJOURNAL = {Stochastic Processes and their Applications},
    VOLUME = {115},
      YEAR = {2005},
     PAGES = {983--1016},
}

@article {MR2010397,
    AUTHOR = {Goldman, A. and Calka, P.},
     TITLE = {On the spectral function of the {P}oisson--{V}oronoi cells},
   JOURNAL = {Ann. Inst. H. Poincar\'e Probab. Statist.},
  FJOURNAL = {Annales de l'Institut Henri Poincar\'e. Probabilit\'es et
              Statistiques},
    VOLUME = {39},
      YEAR = {2003},
     PAGES = {1057--1082},
}

@article {Cal_precise03,
    AUTHOR = {Calka, P.},
     TITLE = {Precise formulae for the distributions of the principal
              geometric characteristics of the typical cells of a
              two-dimensional {P}oisson--{V}oronoi tessellation and a
              {P}oisson line process},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {35},
      YEAR = {2003},
     PAGES = {551--562},
}

@article {Cal_disc02,
    AUTHOR = {Calka, P.},
     TITLE = {The distributions of the smallest disks containing the
              {P}oisson--{V}oronoi typical cell and the {C}rofton cell in the
              plane},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {34},
      YEAR = {2002},
     PAGES = {702--717},
}

@article {Cal_discf02,
    AUTHOR = {Calka, P.},
     TITLE = {La loi du plus petit disque contenant la cellule typique de
              {P}oisson--{V}oronoi},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
    VOLUME = {334},
      YEAR = {2002},
     PAGES = {325--330},
}

@article {Cal_Miles,
    AUTHOR = {Calka, P.},
     TITLE = {Mosa\"\i ques poissoniennes de l'espace euclidian. {U}ne
              extension d'un r\'esultat de {R}. {E}. {M}iles},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {332},
      YEAR = {2001},
     PAGES = {557--562},
}

@article {MR1836096,
    AUTHOR = {Goldman, A. and Calka, P.},
     TITLE = {Sur la fonction spectrale des cellules de {P}oisson--{V}oronoi},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {332},
      YEAR = {2001},
     PAGES = {835--840},
}


@article {CG94,
    AUTHOR = {Cabo, A. J. and Groeneboom, P.},
     TITLE = {Limit theorems for functionals of convex hulls},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {100},
      YEAR = {1994},
     PAGES = {31--55},
}

@article {Gr88,
    AUTHOR = {Groeneboom, P.},
     TITLE = {Limit theorems for convex hulls},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {79},
      YEAR = {1988},
     PAGES = {327--368},
}

@article {Hs94,
    AUTHOR = {Hsing, T.},
     TITLE = {On the asymptotic distribution of the area outside a random
              convex hull in a disk},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {4},
      YEAR = {1994},
     PAGES = {478--493},
}

@article {FH04,
    AUTHOR = {Finch, S. and Hueter, I.},
     TITLE = {Random convex hulls: a variance revisited},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {36},
      YEAR = {2004},
     PAGES = {981--986},
}


@article {Siegel79,
    AUTHOR = {Siegel, A. F.},
     TITLE = {Asymptotic coverage distributions on the circle},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {7},
      YEAR = {1979},
     PAGES = {651--661},
}

@article {Hall85,
    AUTHOR = {Hall, P.},
     TITLE = {Distribution of size, structure and number of vacant regions
              in a high-intensity mosaic},
   JOURNAL = {Z. Wahrsch. Verw. Gebiete},
  FJOURNAL = {Zeitschrift f\"ur Wahrscheinlichkeitstheorie und Verwandte
              Gebiete},
    VOLUME = {70},
      YEAR = {1985},
     PAGES = {237--261},
}


@article {Janson_cov,
    AUTHOR = {Janson, S.},
     TITLE = {Random coverings in several dimensions},
   JOURNAL = {Acta Math.},
  FJOURNAL = {Acta Mathematica},
    VOLUME = {156},
      YEAR = {1986},
     PAGES = {83--118},
}

@article {Hu99b,
    AUTHOR = {Hueter, I.},
     TITLE = {The convex hull of samples from self-similar distributions},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {31},
      YEAR = {1999},
     PAGES = {34--47},
}


@article {Hu99a,
    AUTHOR = {Hueter, I.},
     TITLE = {Limit theorems for the convex hull of random points in higher
              dimensions},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {351},
      YEAR = {1999},
     PAGES = {4337--4363},
}

@article {Hu94,
    AUTHOR = {Hueter, I.},
     TITLE = {The convex hull of a normal sample},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {26},
      YEAR = {1994},
     PAGES = {855--875},
}


@article {Roysticks,
    AUTHOR = {Roy, R.},
     TITLE = {Percolation of {P}oisson sticks on the plane},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {89},
      YEAR = {1991},
     PAGES = {503--517},
}

@book {RG,
    AUTHOR = {Bollob{\'a}s, B.},
     TITLE = {Random Graphs},
   EDITION = {Second},
 PUBLISHER = {Cambridge University Press, xviii+498 pp},
      YEAR = {2001},
      ISBN = {0-521-80920-7; 0-521-79722-5},
}

%%%%%%%%%%%%%%%%%NOT CHECKED NEXT FEW

%by hand
@article {XuKu,
  AUTHOR = {F. Xue and P.R. Kumar},
   TITLE = {The number of neighbors needed for connectivity of wireless networks},
   VOLUME = {10},
  YEAR = {2004},
  PAGES = {169--181},
 JOURNAL= {Wireless Networks},
}

%by hand
@article {TaKl,
  AUTHOR = {H. Takagi and L. Kleinrock},
   TITLE = {Optimal transmission ranges for randomly distributed packet
radio terminals},
   VOLUME = {COM-32},
  YEAR = {1984},
  PAGES = {246--257},
 JOURNAL= {IEEE Transactions on Communications},
}

%by hand
@misc {Sil,
  AUTHOR = {J. A. Silvester},
   TITLE = {On the spatial capacity of packet radio networks},
   HOWPUBLISHED = {Department of Computer Science, UCLA, Engineering Report UCLA-ENG-8021},
  YEAR = {1980},
}

%by hand
@article {NiCh,
  AUTHOR = {J. Ni and S. Chandler},
   TITLE = {Connectivity properties of a random radio network},
   VOLUME = {141},
  YEAR = {1994},
  PAGES = {289--296},
 JOURNAL= {Proceedings of the IEE -- Communications},
}

%by hand %%%%%%% Not quite right?
@misc {KlSi,
  AUTHOR = {L. Kleinrock and J.A. Silvester},
   TITLE = {Optimum transmission radii for packet radio networks or why six
is a magic number},
   HOWPUBLISHED = {IEEE Nat. Telecommun. Conf., 4.3.1--4.3.5.},
   YEAR = {1978},
}

%by hand
@article {HoLi,
  AUTHOR = {T. Hou and V. Li},
   TITLE = {Transmission range control in multihop packet radio networks},
   VOLUME = {COM-34},
  YEAR = {1986},
  PAGES = {38--44},
 JOURNAL= {IEEE Transactions on Communications},
}

%by hand
@article {Haj,
  AUTHOR = {B. Hajek},
   TITLE = {Adaptive transmission strategies and routing in mobile radio
networks},
  YEAR = {1983},
  PAGES = {373--378},
 JOURNAL= {Proceedings of the Conference on Information Sciences and Systems},
}

%%%%%%%%%%%%%%%%%%%%%%%

@incollection {BT85,
    AUTHOR = {Bollob{\'a}s, B. and Thomason, A.},
     TITLE = {Random graphs of small order},
 BOOKTITLE = {Random Graphs '83 (Pozna\'n, 1983)},
     PAGES = {47--97},
 PUBLISHER = {North-Holland},
      YEAR = {1985},
}

@article {ERevol_Bull,
    AUTHOR = {Erd{\H{o}}s, P. and R{\'e}nyi, A.},
     TITLE = {On the evolution of random graphs},
   JOURNAL = {Bull. Inst. Internat. Statist.},
    VOLUME = {38},
      YEAR = {1961},
     PAGES = {343--347},
}
@article {ERconn,
    AUTHOR = {Erd{\H{o}}s, P. and R{\'e}nyi, A.},
     TITLE = {On the strength of connectedness of a random graph},
   JOURNAL = {Acta Math. Acad. Sci. Hungar.},
  FJOURNAL = {Acta Mathematica Academiae Scientiarum Hungaricae},
    VOLUME = {12},
      YEAR = {1961},
     PAGES = {261--267},
}
@article {ERevol_hungarian,
    AUTHOR = {Erd{\H{o}}s, P. and R{\'e}nyi, A.},
     TITLE = {On the evolution of random graphs},
   JOURNAL = {Magyar Tud. Akad. Mat. Kutat\'o Int. K\"ozl.},
    VOLUME = {5},
      YEAR = {1960},
     PAGES = {17--61},
}

%byhand
@article {RuddFrisch,
  AUTHOR = {W. G. Rudd and H. L. Frisch},
  TITLE = {Critical behavior in percolation processes},
   JOURNAL = {Phys. Rev. B},
  FJOURNAL = {Physical Review B},
 VOLUME = {2},
 YEAR = {1970},
 PAGES ={162--164},
}

@book {Molchanov05,
    AUTHOR = {Molchanov, I.},
     TITLE = {Theory of Random Sets},
 PUBLISHER = {Springer, xvi+488 pp},
      YEAR = {2005},
      ISBN = {978-185223-892-3; 1-85233-892-X},
}

@book {Matheron75,
    AUTHOR = {Matheron, G.},
     TITLE = {Random Sets and Integral Geometry},
      YEAR = {1975},
 PUBLISHER = {Wiley, xxiii+261 pp},
}

@article {GilbertGnp,
    AUTHOR = {Gilbert, E. N.},
     TITLE = {Random graphs},
   JOURNAL = {Ann. Math. Statist.},
    VOLUME = {30},
      YEAR = {1959},
     PAGES = {1141--1144},
}

%by hand
@incollection {BenOrLinial90,
    AUTHOR = {M. Ben-Or and N. Linial},
     TITLE = {Collective coin flipping},
 BOOKTITLE = {Randomness and Computation},
     EDITOR = {S. Micali},
     PAGES = {91--115},
 PUBLISHER = {Academic Press},
      YEAR = {1990},
}

%by hand
@inproceedings {BenOrLinial85,
    AUTHOR = {M. Ben-Or and N. Linial},
     TITLE = {Collective coin flipping, robust voting schemes and minima of {B}anzhaf values},
 BOOKTITLE = {Proceedings of the 26th Annual IEEE Symposium on Foundations of Computer Science},
     PAGES = {408--416},
      YEAR = {1985},
}

%byhand
@article {KellySherman1968,
    AUTHOR = {D. G. Kelly and S. Sherman},
     TITLE = {General {G}riffiths' Inequalities on Correlations in {I}sing Ferromagnets},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {9},
      YEAR = {1968},
     PAGES = {466--484},
}

%by hand
@article {Griffiths1967a,
    AUTHOR = {R. B. Griffiths},
     TITLE = {Correlations in {I}sing Ferromagnets. {I}},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {8},
      YEAR = {1967},
     PAGES = {478--483},
}

%by hand
@article {Griffiths1967b,
    AUTHOR = {R. B. Griffiths},
     TITLE = {Correlations in {I}sing Ferromagnets. {II}. {E}xternal Magnetic Fields},
   JOURNAL = {J. Mathematical Phys.},
    VOLUME = {8},
      YEAR = {1967},
     PAGES = {484--489},
}

%by hand
@article {Peierls,
    AUTHOR = {R. Peierls},
     TITLE = {On {I}sing's model of ferromagnetism},
   JOURNAL = {Proc. Cambridge Philos. Soc.},
    VOLUME = {36},
      YEAR = {1936},
     PAGES = {477--481},
}


@article {SW86,
    AUTHOR = {Solomon, H. and Weiner, H.},
     TITLE = {A review of the packing problem},
   JOURNAL = {Comm. Statist. A---Theory Methods},
  FJOURNAL = {Communications in Statistics. A. Theory and Methods},
    VOLUME = {15},
      YEAR = {1986},
     PAGES = {2571--2607},
}

@article {Ney62,
    AUTHOR = {Ney, P. E.},
     TITLE = {A random interval filling problem},
   JOURNAL = {Ann. Math. Statist.},
    VOLUME = {33},
      YEAR = {1962},
     PAGES = {702--718},
}

@article {DvR64,
    AUTHOR = {Dvoretzky, A. and Robbins, H.},
     TITLE = {On the ``parking'' problem},
   JOURNAL = {Magyar Tud. Akad. Mat. Kutat\'o Int. K\"ozl.},
    VOLUME = {9},
      YEAR = {1964},
     PAGES = {209--225},
}

@article {CFJ00,
    AUTHOR = {Coffman, Jr., E. G. and Flatto, L. and Jelenkovi{\'c},
              P.},
     TITLE = {Interval packing: the vacant interval distribution},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {10},
      YEAR = {2000},
     PAGES = {240--257},
}

@article {Renyi58,
    AUTHOR = {R{\'e}nyi, A.},
     TITLE = {On a one-dimensional problem concerning random
     space filling (in {H}ungarian)},
   JOURNAL = {Magyar Tud. Akad. Mat. Kutat\'o Int. K\"ozl.},
    VOLUME = {3},
      YEAR = {1958},
     PAGES = {109--127},
}


@article {Ste67,
    AUTHOR = {Steutel, F. W.},
     TITLE = {Random division of an interval},
   JOURNAL = {Statistica Neerlandica},
  FJOURNAL = {Statistica Neerlandica. Journal of the Netherlands Society for
              Statistics and Operations Research},
    VOLUME = {21},
      YEAR = {1967},
     PAGES = {231--244},
}




@article {HH84,
    AUTHOR = {Holst, L. and H{\"u}sler, J.},
     TITLE = {On the random coverage of the circle},
   JOURNAL = {J. Appl. Probab.},
  FJOURNAL = {Journal of Applied Probability},
    VOLUME = {21},
      YEAR = {1984},
     PAGES = {558--566},
}

@article {SH82,
    AUTHOR = {Siegel, A. F. and Holst, L.},
     TITLE = {Covering the circle with random arcs of random sizes},
   JOURNAL = {J. Appl. Probab.},
  FJOURNAL = {Journal of Applied Probability},
    VOLUME = {19},
      YEAR = {1982},
     PAGES = {373--381},
}

@article {Stevens39,
    AUTHOR = {Stevens, W. L.},
     TITLE = {Solution to a geometrical problem in probability},
   JOURNAL = {Ann. Eugenics},
    VOLUME = {9},
      YEAR = {1939},
     PAGES = {315--320},
}

@article {NOTHui03,
    AUTHOR = {Huillet, T.},
     TITLE = {Random covering of the circle: the configuration-space of the
              free deposition process},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {36},
      YEAR = {2003},
     PAGES = {12143--12155},
}


@article {GG97,
    AUTHOR = {Gravner, J. and Griffeath, D.},
     TITLE = {Multitype threshold growth: convergence to
              {P}oisson--{V}orono\u\i\ tessellations},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {7},
      YEAR = {1997},
     PAGES = {615--647},
}

@article {Dean63,
    AUTHOR = {Dean, P.},
     TITLE = {A new {M}onte {C}arlo method for percolation problems on a
              lattice},
   JOURNAL = {Proc. Cambridge Philos. Soc.},
    VOLUME = {59},
      YEAR = {1963},
     PAGES = {397--410},
}



@article {FZ96,
    AUTHOR = {Foss, S. G. and Zuyev, S. A.},
     TITLE = {On a {V}oronoi aggregative process related to a bivariate
              {P}oisson process},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {28},
      YEAR = {1996},
     PAGES = {965--981},
}



@article {CalSch05,
    AUTHOR = {Calka, P. and Schreiber, T.},
     TITLE = {Limit theorems for the typical {P}oisson--{V}oronoi cell and
              the {C}rofton cell with a large inradius},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {33},
      YEAR = {2005},
     PAGES = {1625--1642},
}



@article {Calka_exp03,
    AUTHOR = {Calka, P.},
     TITLE = {An explicit expression for the distribution of the number of
              sides of the typical {P}oisson--{V}oronoi cell},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {35},
      YEAR = {2003},
     PAGES = {863--870},
}


@article {HQ2000a,
    AUTHOR = {Hayen, A. and Quine, M.},
     TITLE = {The proportion of triangles in a {P}oisson--{V}oronoi
              tessellation of the plane},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {32},
      YEAR = {2000},
     PAGES = {67--74},
}
@article {HQ2000b,
    AUTHOR = {Hayen, A. and Quine, M.},
     TITLE = {Calculating the proportion of triangles in a
              {P}oisson--{V}oronoi tessellation of the plane},
   JOURNAL = {J. Statist. Comput. Simulation},
  FJOURNAL = {Journal of Statistical Computation and Simulation},
    VOLUME = {67},
      YEAR = {2000},
     PAGES = {351--358},
}



@article {Gil62,
    AUTHOR = {Gilbert, E. N.},
     TITLE = {Random subdivisions of space into crystals},
   JOURNAL = {Ann. Math. Statist.},
    VOLUME = {33},
      YEAR = {1962},
     PAGES = {958--972},
}

@book {Mol94,
    AUTHOR = {M{\o}ller, J.},
     TITLE = {Lectures on Random {V}orono\u\i\ Tessellations},
 PUBLISHER = {Springer, vi+134 pp},
      YEAR = {1994},
}




@book {FT53,
    AUTHOR = {Fejes T{\'o}th, L.},
     TITLE = {Lagerungen in der {E}bene, auf der {K}ugel und im {R}aum},
      YEAR = {1953},
 PUBLISHER = {Springer, x+197 pp},
}

@book{FT72,
    AUTHOR = {Fejes T{\'o}th, L.},
     TITLE = {Lagerungen in der {E}bene auf der {K}ugel und im {R}aum},
      NOTE = {Zweite verbesserte und erweiterte Auflage},
      YEAR = {1972},
 PUBLISHER = {Springer, xi+238 pp},
}


@incollection {FT52,
    AUTHOR = {Fejes T{\'o}th, L.},
     TITLE = {\"{U}ber das {P}roblem der dichtesten {K}ugellagerung},
 BOOKTITLE = {Comptes Rendus du Premier Congr\`es des Math\'ematiciens
              Hongrois, 27 Ao\^ut--2 Septembre 1950},
     PAGES = {619--642},
 PUBLISHER = {Akad\'emiai Kiad\'o},
      YEAR = {1952},
}

@book {Rogers64,
    AUTHOR = {Rogers, C. A.},
     TITLE = {Packing and Covering},
      YEAR = {1964},
 PUBLISHER = {Cambridge University Press, viii+111 pp},
}

@article {Bezdek02,
    AUTHOR = {Bezdek, K.},
     TITLE = {Improving {R}ogers' upper bound for the density of unit ball
              packings via estimating the surface area of {V}oronoi cells
              from below in {E}uclidean {$d$}-space for all {$d\ge8$}},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {28},
      YEAR = {2002},
     PAGES = {75--106},
}


@article {KL78,
    AUTHOR = {Kabatjanski{\u\i}, G. A. and Leven{\v{s}}te{\u\i}n, V. I.},
     TITLE = {Bounds for packings on the sphere and in space},
   JOURNAL = {Problemy Pereda\v ci Informacii},
  FJOURNAL = {Akademiya Nauk SSSR. Institut Problem Peredachi Informatsii
              Akademii Nauk SSSR. Problemy Peredachi Informatsii},
    VOLUME = {14},
      YEAR = {1978},
     PAGES = {3--25},
}

@article {MR1806953,
    AUTHOR = {Mankiewicz, P. and Sch{\"u}tt, C.},
     TITLE = {A simple proof of an estimate for the approximation of the
              {E}uclidean ball and the {D}elone triangulation numbers},
   JOURNAL = {J. Approx. Theory},
  FJOURNAL = {Journal of Approximation Theory},
    VOLUME = {107},
      YEAR = {2000},
     PAGES = {268--280},
}
@article {Rog58,
    AUTHOR = {Rogers, C. A.},
     TITLE = {The packing of equal spheres},
   JOURNAL = {Proc. London Math. Soc.},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {8},
      YEAR = {1958},
     PAGES = {609--620},
}

%by hand
@article {Voronoi,
  AUTHOR = {G. Voronoi},
  TITLE = {Nouvelles applications des param{\`e}tres continus {\`a} la
th{\'e}orie des formes quadratiques},
  JOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
  VOLUME = {133},
  YEAR = {1908},
 PAGES = {97--178},
}

%by hand
@article {Dirichlet1850,
  AUTHOR = {G. L. Dirichlet},
  TITLE = {{\"U}ber die {R}eduktion der positiven quadratischen
{F}ormen mit drei unbestimmten ganzen {Z}ahlen},
  JOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
  VOLUME = {40},
  YEAR = {1850},
 PAGES = {209--227},
}

%by hand
@article {Mei53,
  AUTHOR = {J. L. Meijering},
  TITLE = {Interface area, edge length, and number of vertices
in crystal aggregates with random nucleation},
 JOURNAL = {Philips Research Reports},
   VOLUME = {8},
  YEAR ={1953},
  PAGES ={270--290},
}

%by hand
@article {TA11,
  AUTHOR = {A. H. Thiessen and J. C. Alter},
  TITLE = {Climatological data for {J}uly, 1911: {D}istrict No.~10, {G}reat {B}asin},
  JOURNAL = {Monthly Weather Review},
  VOLUME = {31},
  YEAR = {1911},
  PAGES = {1082-1089},
}

@book {Bor04,
    AUTHOR = {B{\"o}r{\"o}czky, Jr., K.},
     TITLE = {Finite Packing and Covering},
      YEAR = {2004},
 PUBLISHER = {Cambridge University Press, xviii+380 pp},
      ISBN = {0-521-80157-5},
}

@article{Delesse1848,
   AUTHOR = {A. Delesse},
   TITLE = {Proc{\'e}d{\'e} m{\'e}chanique pour d{\'e}terminer la
composition des roches},
    JOURNAL = {Ann. des Mines (4th Ser.)},
  VOLUME = {13},
 YEAR = {1848},
  PAGES = {379--388},
}

%by hand
@article {JoMe39,
 AUTHOR = {W. A. Johnson and R. F. Mehl},
 TITLE = {Reaction kinetics in processes of nucleation and growth},
 JOURNAL = {Trans. A.I.M.M.E.},
  VOLUME = {135},
  YEAR = {1939},
  PAGES = {416--458},
}

%by hand
@article {VK81,
    AUTHOR = {T. Vicsek and J. Kert{\'e}sz},
     TITLE = {Monte {C}arlo renormalisation-group approach to percolation on a continuum: test of universality},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {14},
      YEAR = {1981},
     PAGES = {L31--L37},
}

%by hand
@misc {Hatfield,
  AUTHOR = {J. C. Hatfield},
 YEAR = {1978},
  HOWPUBLISHED = {Ph. D. thesis, University of Minnesota},
}

%by hand
@article {WSD81,
 AUTHOR = {P. H. Winterfeld and L E. Scriven and H. T. Davis},
 TITLE = {Percolation and conductivity of random two-dimensional composites},
  JOURNAL = {J. Physics C},
  VOLUME = {14},
  YEAR = {1981},
  PAGES = {2361--2376},
}

%by hand
@article {JHSD84,
 AUTHOR = {G. R. Jerauld and J. C. Hatfield and L. E. Scriven and H. T. Davis},
 TITLE = {Percolation and conduction on {V}oronoi and triangular networks: a
case study in topological disorder},
  JOURNAL = {J. Physics C: Solid State Physics},
  VOLUME = {17},
  YEAR = {1984},
  PAGES = {1519--1529},
}

%by hand
@article {JSD84,
 AUTHOR = {G. R. Jerauld and L. E. Scriven and H. T. Davis},
 TITLE = {Percolation and conduction on the {3D} Voronoi and regular networks: a second case study in topological disorder},
  JOURNAL = {J. Physics C: Solid State Physics},
  VOLUME = {17},
  YEAR = {1984},
  PAGES = {3429--3439},
}

%by hand
@book {cha56,
 AUTHOR = {F. Chayes},
     TITLE = {Petrographic Modal Analysis},
      YEAR = {1956},
 PUBLISHER = {Wiley, 113 pp},
}

@article {Hui03,
    AUTHOR = {Huillet, T.},
     TITLE = {Random covering of the circle: the size of the connected
              components},
   JOURNAL = {Adv. in Appl. Probab.},
  FJOURNAL = {Advances in Applied Probability},
    VOLUME = {35},
      YEAR = {2003},
     PAGES = {563--582},
}

%UPDATE
@book {CTM,
    AUTHOR = {Bollob{\'a}s, B.},
     TITLE = {The Art of Mathematics: Coffee Time in Memphis},
 PUBLISHER = {Cambridge University Press},
      YEAR = {2006},
}

%by hand
@article {EGdB,
    AUTHOR = {J. W. Essam and A. J. Guttmann and K. De'Bell},
     TITLE = {On two-dimensional directed percolation},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {21},
      YEAR = {1988},
     PAGES = {3815--3832},
}

%by hand
@article {EHMR60,
    AUTHOR = {R. J. Elliott and B. R. Heap and D. J. Morgan and G. S. Rushbrooke},

     TITLE = {Equivalence of the Critical Concentrations in the {I}sing and {H}eisenberg Models of Ferromagnetism},
   JOURNAL = {Phys. Rev. Lett.},
  FJOURNAL = {Physical Review Letters},
    VOLUME = {5},
      YEAR = {1960},
     PAGES = {366-367},
}


%by hand
@article {Domb59,
   AUTHOR = {C. Domb},
   TITLE = {Fluctuation phenomena and stochastic processes},
   YEAR = {1959},
  JOURNAL = {Nature},
  VOLUME = {184},
  PAGES = {509--512},
}


%by hand
@article {Milnor_growth,
    AUTHOR = {Milnor, J.},
     TITLE = {Problem 5603},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {75},
      YEAR = {1968},
     PAGES = {685--686},
}

@article {MP01,
    AUTHOR = {Muchnik, R. and Pak, I.},
     TITLE = {Percolation on {G}rigorchuk groups},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {29},
      YEAR = {2001},
     PAGES = {661--671},
}


@article {Pyber04,
    AUTHOR = {Pyber, L.},
     TITLE = {Groups of intermediate subgroup growth and a problem of
              {G}rothendieck},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {121},
      YEAR = {2004},
     PAGES = {169--188},
}

@article {Gri83,
    AUTHOR = {Grigorchuk, R. I.},
     TITLE = {On the {M}ilnor problem of group growth},
   JOURNAL = {Dokl. Akad. Nauk SSSR},
  FJOURNAL = {Doklady Akademii Nauk SSSR},
    VOLUME = {271},
      YEAR = {1983},
     PAGES = {30--33},
}

@article {EMO05,
    AUTHOR = {Eskin, A. and Mozes, S. and Oh, H.},
     TITLE = {On uniform exponential growth for linear groups},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {160},
      YEAR = {2005},
     PAGES = {1--30},
}


@book {Gro81,
    AUTHOR = {Gromov, M.},
     TITLE = {Structures M\'etriques pour les Vari\'et\'es Riemanniennes},
      NOTE = {Edited by J. Lafontaine and P. Pansu},
      YEAR = {1981},
 PUBLISHER = {CEDIC, iv+152 pp},
      ISBN = {2-7124-0714-8},
}


@article {Wil04,
    AUTHOR = {Wilson, J. S.},
     TITLE = {On exponential growth and uniformly exponential growth for
              groups},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {155},
      YEAR = {2004},
     PAGES = {287--303},
}

@book {Williams,
    AUTHOR = {Williams, D.},
     TITLE = {Probability with Martingales},
 PUBLISHER = {Cambridge University Press, xvi+251 pp},
      YEAR = {1991},
}

@article {Penrose93,
    AUTHOR = {Penrose, M. D.},
     TITLE = {On the spread-out limit for bond and continuum percolation},
   JOURNAL = {Ann. Appl. Probab.},
  FJOURNAL = {The Annals of Applied Probability},
    VOLUME = {3},
      YEAR = {1993},
     PAGES = {253--276},
}

@incollection {BK95,
    AUTHOR = {Bollob{\'a}s, B. and Kohayakawa, Y.},
     TITLE = {A note on long-range percolation},
 BOOKTITLE = {Graph Theory, Combinatorics, and Algorithms, Vol.\ 1, 2
              (Kalamazoo, MI, 1992)},
     PAGES = {97--113},
 PUBLISHER = {Wiley},
      YEAR = {1995},
}

%by hand
@misc{FS05,
 AUTHOR = {D. Falik and A. Samorodnitsky},
 TITLE = {Edge-isoperimetric inequalities and influences},
 HOWPUBLISHED = {Preprint},
 YEAR = {2005},
}
%http://www.arxiv.org/abs/math.CO/0512636

%by hand
@misc{Rossignol,
AUTHOR = {R. Rossignol},
TITLE = {Threshold for monotone symmetric properties through a logarithmic {S}obolev inequality},
HOWPUBLISHED = {Preprint},
YEAR = {2005},
}

%by hand
@misc{vdBBV,
 AUTHOR = {J. van den Berg and R. Brouwer and B. V{\'a}gv{\"o}lgyi},
 TITLE = {Continuity for self-destructive percolation in the plane},
 HOWPUBLISHED = {Preprint},
 YEAR = {2006},
}
http://www.arxiv.org/abs/math.PR/0603223

@book {SWbook,
    AUTHOR = {Smythe, R. T. and Wierman, J. C.},
     TITLE = {First-passage Percolation on the Square Lattice},
      YEAR = {1978},
 PUBLISHER = {Springer, viii+196 pp},
      ISBN = {3-540-08928-4},
}

@book {DurrettBook,
    AUTHOR = {Durrett, R.},
     TITLE = {Lecture Notes on Particle Systems and Percolation},
      YEAR = {1988},
 PUBLISHER = {Wadsworth \& Brooks/Cole Advanced Books \& Software, viii+335 pp},
      ISBN = {0-534-09462-7},
}

@book {Hughes1,
    AUTHOR = {Hughes, B. D.},
     TITLE = {Random walks and random environments. {V}ol. 1. {R}andom walks},
      YEAR = {1995},
 PUBLISHER = {Oxford University Press, xxii+631 pp},
      ISBN = {0-19-853788-3},
}
PUBLISHER = {The Clarendon Press, Oxford University Press},

@book {Hughes2,
    AUTHOR = {Hughes, B. D.},
     TITLE = {Random walks and random environments. {V}ol. 2. {R}andom environments},
      YEAR = {1996},
 PUBLISHER = {Oxford University Press, xxiv+526 pp},
      ISBN = {0-19-853789-1},
}
PUBLISHER = {The Clarendon Press, Oxford University Press},
@incollection {Grimmett_RC,
    AUTHOR = {Grimmett, G.},
     TITLE = {The random-cluster model},
 BOOKTITLE = {Probability on Discrete Structures},
     PAGES = {73--123},
 PUBLISHER = {Springer},
      YEAR = {2004},
}

@article {ADS80,
    AUTHOR = {Aizenman, M. and Delyon, F. and Souillard, B.},
     TITLE = {Lower bounds on the cluster size distribution},
   JOURNAL = {J. Statist. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {23},
      YEAR = {1980},
     PAGES = {267--280},
}

@article {Freedman_Voronoi,
    AUTHOR = {Freedman, M. H.},
     TITLE = {Percolation on the projective plane},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {4},
      YEAR = {1997},
     PAGES = {889--894},
}

@book {GS87,
    AUTHOR = {Gr{\"u}nbaum, B. and Shephard, G. C.},
     TITLE = {Tilings and Patterns},
      YEAR = {1987},
 PUBLISHER = {W. H. Freeman, xii+700 pp},
      ISBN = {0-7167-1193-1},
}