Edit Profile (opens in new tab) Grimmett, Geoffrey R. Co-Author Distance Author ID: grimmett.geoffrey-r Published as: Grimmett, Geoffrey; Grimmett, Geoffrey R.; Grimmett, G. R.; Grimmett, G. more...less External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 159 Publications since 1973, including 15 Books and 7 Additional arXiv Preprints 5 Contributions as Editor Reviewing Activity: 55 Reviews Co-Authors: 62 Co-Authors with 97 Joint Publications 2,001 Co-Co-Authors all top 5 Co-Authors 66 single-authored 16 Li, Zhongyang 8 Stirzaker, David R. 7 Holroyd, Alexander E. 7 Janson, Svante 7 Kesten, Harry 5 Welsh, Dominic J. A. 4 Bezuidenhout, Carol 3 Falconer, Kenneth J. 3 Graham, Benjamin T. 3 Manolescu, Ioan 3 Newman, Charles Michael 3 Scudo, Petra F. 2 Barsky, David J. 2 Cox, J. Theodore 2 Marstrand, John M. 2 McDiarmid, Colin J. H. 2 Osborne, Tobias J. 1 Arias-Castro, Ery 1 Beaton, Nicholas R. 1 Bezuidenhout, C. E. 1 Björnberg, Jakob Erik 1 Bollobás, Béla 1 Chayes, Jennifer Tour 1 Chayes, Lincoln 1 Dirr, Nicolas Peter 1 Dondl, Patrick Werner 1 Donnelly, Peter 1 Duminil-Copin, Hugo 1 Frieze, Alan Michael 1 Gandolfi, Alberto 1 Gielis, Guy 1 Golden, Kenneth M. 1 Hall, Richard R. 1 Hammersley, John Michael 1 Hiemer, Philipp 1 James, Richard D. 1 Keane, Michael S. 1 Kozma, Gady 1 Lawler, Gregory Francis 1 Liggett, Thomas Milton 1 Löffler, Armin 1 Menshikov, Mikhail V. 1 Milton, Graeme Walter 1 Norris, James R. 1 Oelbermann, Kai-Friederike 1 Peres, Yuval 1 Piza, Marcelo S. T. 1 Pukelsheim, Friedrich 1 Pulleyblank, William R. 1 Richthammer, Thomas 1 Russo, Lucio 1 Scheutzow, Michael K. R. 1 Schinazi, Rinaldo B. 1 Schonmann, Roberto Henrique 1 Sen, Pabitra N. 1 Stacey, Alan M. 1 Suen, W. C. Stephen 1 Treisman, Michel 1 van den Berg, Rob 1 Volkov, Stanislav 1 Winkler, S. N. 1 Zhang, Yu all top 5 Serials 10 Journal of Statistical Physics 10 The Annals of Probability 6 Journal of the London Mathematical Society. Second Series 6 Probability Theory and Related Fields 5 Random Structures & Algorithms 4 Mathematical Proceedings of the Cambridge Philosophical Society 3 Communications in Mathematical Physics 3 Discrete Mathematics 3 Bulletin of the London Mathematical Society 3 Mathematical Social Sciences 3 Journal of Theoretical Probability 3 The Electronic Journal of Combinatorics 2 Advances in Applied Probability 2 Stochastics 2 The Annals of Applied Probability 2 Journal of Physics A: Mathematical and General 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Electronic Journal of Probability 2 Markov Processes and Related Fields 2 Grundlehren der Mathematischen Wissenschaften 2 Probability Surveys 2 Mathematics and Mechanics of Complex Systems 2 Institute of Mathematical Statistics Textbooks 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 The Mathematical Gazette 1 British Journal of Mathematical & Statistical Psychology 1 International Statistical Review 1 Journal of Applied Probability 1 Journal of Combinatorial Theory. Series B 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Studia Scientiarum Mathematicarum Hungarica 1 Transactions of the American Mathematical Society 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Operations Research Letters 1 Combinatorica 1 SIAM Journal on Discrete Mathematics 1 IMRN. International Mathematics Research Notices 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Stochastic Processes and their Applications 1 Notices of the American Mathematical Society 1 Journal of Algebraic Combinatorics 1 Electronic Communications in Probability 1 Bernoulli 1 Mathematical Physics, Analysis and Geometry 1 Journal of the European Mathematical Society (JEMS) 1 The IMA Volumes in Mathematics and its Applications 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Oxford Lecture Series in Mathematics and its Applications 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions all top 5 Fields 133 Probability theory and stochastic processes (60-XX) 87 Statistical mechanics, structure of matter (82-XX) 44 Combinatorics (05-XX) 7 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Number theory (11-XX) 4 Statistics (62-XX) 3 Group theory and generalizations (20-XX) 2 Biology and other natural sciences (92-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 2,859 times in 2,145 Documents Cited by ▼ Year ▼ Percolation. 2nd ed. Zbl 0926.60004 Grimmett, Geoffrey 519 1999 Probability and random processes. 3rd ed. Zbl 1015.60002 Grimmett, Geoffrey R.; Stirzaker, David R. 289 2001 The random-cluster model. Zbl 1122.60087 Grimmett, Geoffrey R. 173 2006 Probability and random processes: Problems and solutions. Zbl 0759.60002 Grimmett, G. R.; Stirzaker, D. R. 156 1992 The critical contact process dies out. Zbl 0718.60109 Bezuidenhout, Carol; Grimmett, Geoffrey 100 1990 On colouring random graphs. Zbl 0297.05112 Grimmett, G. R.; McDiarmid, C. J. H. 88 1975 The supercritical phase of percolation is well behaved. Zbl 0711.60100 Grimmett, G. R.; Marstrand, J. M. 88 1990 Percolation. With 76 illustrations. Zbl 0691.60089 Grimmett, Geoffrey 84 1989 The shortest-path problem for graphs with random arc-lengths. Zbl 0608.05047 Frieze, A. M.; Grimmett, G. R. 59 1985 Central limit theorems for associated random variables and the percolation model. Zbl 0536.60094 Cox, J. Theodore; Grimmett, Geoffrey 49 1984 The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105 Grimmett, Geoffrey 47 1995 Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003 Grimmett, Geoffrey 45 2010 The random-cluster model. Zbl 0858.60093 Grimmett, G. 43 1994 First-passage percolation, network flows and electrical resistances. Zbl 0525.60098 Grimmett, Geoffrey; Kesten, Harry 43 1984 Exponential decay for subcritical contact and percolation processes. Zbl 0743.60107 Bezuidenhout, Carol; Grimmett, Geoffrey 42 1991 Probability and random processes. Zbl 0493.60001 Grimmett, Geoffrey; Stirzaker, David 36 1982 Random walk on the infinite cluster of the percolation model. Zbl 0791.60095 Grimmett, G. R.; Kesten, H.; Zhang, Y. 33 1993 Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability. Zbl 0727.60118 Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. 28 1991 Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099 Graham, B. T.; Grimmett, G. R. 27 2006 On the asymptotic distribution of large prime factors. Zbl 0839.11039 Donnelly, Peter; Grimmett, Geoffrey 25 1993 The random-cluster model. Zbl 1045.60105 Grimmett, Geoffrey 25 2004 A theorem about random fields. Zbl 0261.60043 Grimmett, G. R. 24 1973 The random-cluster model on the complete graph. Zbl 0846.05075 Bollobás, B.; Grimmett, G.; Janson, S. 23 1996 Directed percolation and random walk. Zbl 1010.60087 Grimmett, Geoffrey; Hiemer, Philipp 22 2002 Percolation in \(\infty +1\) dimensions. Zbl 0721.60121 Grimmett, G. R.; Newman, C. M. 19 1990 On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007 Falconer, K. J.; Grimmett, G. R. 19 1992 Lipschitz percolation. Zbl 1193.60115 Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael 19 2010 Probability and random processes. 4th edition. Zbl 1437.60004 Grimmett, Geoffrey R.; Stirzaker, David R. 19 2020 Random labelled trees and their branching networks. Zbl 0455.05028 Grimmett, G. R. 18 1980 Probability and random processes. 2nd ed. Zbl 0759.60001 Grimmett, Geoffrey R.; Stirzaker, David R. 18 1992 Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005 Grimmett, Geoffrey 17 2018 Critical probabilities for site and bond percolation models. Zbl 0935.60097 Grimmett, G. R.; Stacey, A. M. 17 1998 Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100 Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H. 17 1993 Plaquettes, spheres, and entanglement. Zbl 1229.60107 Grimmett, Geoffrey R.; Holroyd, Alexander E. 17 2010 Probability: An introduction. Zbl 0606.60002 Grimmett, Geoffrey; Welsh, Dominic 16 1986 Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263 Grimmett, Geoffrey R.; Manolescu, Ioan 16 2014 Dependent random graphs and spatial epidemics. Zbl 0946.92028 van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B. 15 1998 Negative association in uniform forests and connected graphs. Zbl 1048.60007 Grimmett, G. R.; Winkler, S. N. 15 2004 Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167 Grimmett, Geoffrey R.; Manolescu, Ioan 15 2013 An upper bound for the number of spanning trees of a graph. Zbl 0348.05106 Grimmett, G. R. 14 1977 The correlation length for the high-density phase of Bernoulli perlocation. Zbl 0696.60094 Chayes, J. T.; Chayes, L.; Grimmett, G. R.; Kesten, H.; Schonmann, R. H. 14 1989 Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082 Grimmett, Geoffrey 14 1994 On the number of clusters in the percolation model. Zbl 0338.60034 Grimmett, G. R. 13 1976 Bounds on connective constants of regular graphs. Zbl 1374.05123 Grimmett, Geoffrey R.; Li, Zhongyang 13 2015 Probability. An introduction. 2nd ed. Zbl 1302.60005 Grimmett, Geoffrey; Welsh, Dominic 13 2014 Percolation and disordered systems. Zbl 0884.60089 Grimmett, Geoffrey 13 1997 Locality of connective constants. Zbl 1397.05076 Grimmett, Geoffrey R.; Li, Zhongyang 12 2018 Self-avoiding walks and the Fisher transformation. Zbl 1295.05123 Grimmett, Geoffrey; Li, Zhongyang 12 2013 Random electrical networks on complete graphs. Zbl 0514.60097 Grimmett, Geoffrey; Kesten, Harry 12 1984 European apportionment via the Cambridge compromise. Zbl 1237.91194 Grimmett, Geoffrey R. 12 2012 Geometry of Lipschitz percolation. Zbl 1255.60167 Grimmett, G. R.; Holroyd, A. E. 12 2012 Random even graphs. Zbl 1214.05155 Grimmett, Geoffrey; Janson, Svante 12 2009 The phase transition of the quantum Ising model is sharp. Zbl 1186.82022 Björnberg, J. E.; Grimmett, G. R. 12 2009 Sharp thresholds for the random-cluster and Ising models. Zbl 1223.60081 Graham, Benjamin; Grimmett, Geoffrey 12 2011 Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102 Grimmett, Geoffrey R.; Li, Zhongyang 11 2014 Percolative problems. Zbl 0830.60094 Grimmett, Geoffrey 11 1994 Percolation theory at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and 1665 (1997). Zbl 1260.60007 Grimmett, Geoffrey R.; Kesten, Harry 11 2012 Self-avoiding walks and amenability. Zbl 1376.05068 Grimmett, Geoffrey; Li, Zhongyang 11 2017 On the uniqueness of the infinite cluster in the percolation model. Zbl 0649.60104 Gandolfi, A.; Grimmett, G.; Russo, L. 10 1988 Universality for bond percolation in two dimensions. Zbl 1284.60168 Grimmett, Geoffrey R.; Manolescu, Ioan 10 2013 Connective constants and height functions for Cayley graphs. Zbl 1362.05059 Grimmett, Geoffrey R.; Li, Zhongyang 10 2017 On the connectedness of a random graph. Zbl 0543.60016 Grimmett, G. R.; Keane, M.; Marstrand, J. M. 10 1984 Percolation of finite clusters and infinite surfaces. Zbl 1303.60090 Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady 9 2014 On the differentiability of the number of clusters per vertex in the percolation model. Zbl 0497.60010 Grimmett, G. R. 9 1981 Entanglement in the quantum Ising model. Zbl 1144.82036 Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F. 9 2008 Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007 Gielis, Guy; Grimmett, Geoffrey 8 2002 The 1-2 model. Zbl 1390.82013 Grimmett, Geoffrey R.; Li, Zhongyang 7 2017 Maximal solutions of the generalized subadditive inequality. Zbl 0291.62034 Hammersley, J. M.; Grimmett, G. R. 7 1974 Infinite paths in randomly oriented lattices. Zbl 0982.05103 Grimmett, Geoffrey R. 7 2001 Entanglement in percolation. Zbl 1026.60109 Grimmett, Geoffrey R.; Holroyd, Alexander E. 7 2000 Extendable self-avoiding walks. Zbl 1285.05163 Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval 7 2014 Decay of correlations in random-cluster models. Zbl 0888.60084 Grimmett, G. R.; Piza, M. S. T. 7 1997 Lattice embeddings in percolation. Zbl 1238.60110 Grimmett, Geoffrey R.; Holroyd, Alexander E. 7 2012 Percolation of arbitrary words in one dimension. Zbl 1202.60155 Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas 7 2010 Self-avoiding walks and connective constants. Zbl 1446.82029 Grimmett, Geoffrey R.; Li, Zhongyang 7 2019 One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003 Grimmett, Geoffrey R.; Stirzaker, David R. 6 2001 Percolation. Zbl 1071.82527 Grimmett, Geoffrey R. 6 2000 Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546 Grimmett, Geoffrey 6 1995 Bond percolation on subsets of the square lattice, and the threshold between one-dimensional and two-dimensional behaviour. Zbl 0508.60082 Grimmett, G. R. 6 1983 Critical sponge dimensions in percolation theory. Zbl 0459.60098 Grimmett, G. R. 5 1981 Random near-regular graphs and the node packing problem. Zbl 0577.05056 Grimmett, G. R.; Pulleyblank, W. R. 5 1985 The critical point of fractal percolation in three and more dimensions. Zbl 0728.60102 Falconer, K. J.; Grimmett, G. R. 5 1991 An exact threshold theorem for random graphs and the node-packing problem. Zbl 0632.05031 Grimmett, G. R. 5 1986 Three theorems in discrete random geometry. Zbl 1245.60093 Grimmett, Geoffrey 5 2011 Three problems for the clairvoyant demon. Zbl 1208.60102 Grimmett, Geoffrey 5 2010 Percolation and minimal spanning trees. Zbl 0963.82020 Bezuidenhout, Carol; Grimmett, Geoffrey; Löffler, Armin 4 1998 The rank polynomials of large random lattices. Zbl 0398.05009 Grimmett, G. R. 4 1978 Statistics of sieves and square-free numbers. Zbl 0728.11046 Grimmett, Geoffrey 4 1991 Correction: On the geometry of random Cantor sets and fractal percolation. Zbl 0786.60014 Falconer, K. J.; Grimmett, G. R. 4 1994 Flow in networks with random capacities. Zbl 0496.60009 Grimmett, G. R.; Welsh, D. J. A. 4 1982 Central limit theorems for percolation models. Zbl 0512.60094 Cox, J. Theodore; Grimmett, Geoffrey 4 1981 Correlation inequalities for the Potts model. Zbl 1357.82012 Grimmett, Geoffrey 4 2016 Space-time percolation. Zbl 1173.82362 Grimmett, Geoffrey R. 4 2008 Random graphs with forbidden vertex degrees. Zbl 1209.05224 Grimmett, Geoffrey; Janson, Svante 4 2010 Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092 Grimmett, Geoffrey R. 3 1999 Multidimensional lattices and their partition functions. Zbl 0382.60108 Grimmett, G. R. 3 1978 Dynamic renormalization and continuity of the percolation transition in orthants. Zbl 0745.60102 Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. 3 1991 Random flows: Network flows and electrical flows through random media. Zbl 0565.90017 Grimmett, G. R. 3 1985 Critical surface of the 1-2 model. Zbl 1407.82020 Grimmett, Geoffrey R.; Li, Zhongyang 3 2018 Cubic graphs and the golden mean. Zbl 1429.05048 Grimmett, Geoffrey R.; Li, Zhongyang 3 2020 Brownian snails with removal: epidemics in diffusing populations. Zbl 1495.60091 Grimmett, Geoffrey R.; Li, Zhongyang 2 2022 Alignment percolation. Zbl 1456.60249 Beaton, Nicholas R.; Grimmett, Geoffrey R.; Holmes, Mark 1 2021 Probability and random processes. 4th edition. Zbl 1437.60004 Grimmett, Geoffrey R.; Stirzaker, David R. 19 2020 Cubic graphs and the golden mean. Zbl 1429.05048 Grimmett, Geoffrey R.; Li, Zhongyang 3 2020 Bounded entanglement entropy in the quantum Ising model. Zbl 1434.82046 Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F. 2 2020 Harry Kesten (1931–2019): a personal and scientific tribute. Zbl 1454.01047 Grimmett, Geoffrey R.; Lawler, Gregory F. 1 2020 One thousand exercises in probability. 3rd revised and updated edition. Zbl 1437.60003 Grimmett, Geoffrey R.; Stirzaker, David R. 1 2020 Weighted self-avoiding walks. Zbl 1447.05184 Grimmett, Geoffrey R.; Li, Zhongyang 1 2020 Self-avoiding walks and connective constants. Zbl 1446.82029 Grimmett, Geoffrey R.; Li, Zhongyang 7 2019 On influence and compromise in two-tier voting systems. Zbl 1426.91095 Grimmett, Geoffrey R. 2 2019 Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005 Grimmett, Geoffrey 17 2018 Locality of connective constants. Zbl 1397.05076 Grimmett, Geoffrey R.; Li, Zhongyang 12 2018 Critical surface of the 1-2 model. Zbl 1407.82020 Grimmett, Geoffrey R.; Li, Zhongyang 3 2018 Self-avoiding walks and amenability. Zbl 1376.05068 Grimmett, Geoffrey; Li, Zhongyang 11 2017 Connective constants and height functions for Cayley graphs. Zbl 1362.05059 Grimmett, Geoffrey R.; Li, Zhongyang 10 2017 The 1-2 model. Zbl 1390.82013 Grimmett, Geoffrey R.; Li, Zhongyang 7 2017 Correlation inequalities for the Potts model. Zbl 1357.82012 Grimmett, Geoffrey 4 2016 Critical surface of the hexagonal polygon model. Zbl 1342.82032 Grimmett, Geoffrey R.; Li, Zhongyang 1 2016 Influence in product spaces. Zbl 1426.60004 Grimmett, Geoffrey R.; Janson, Svante; Norris, James R. 1 2016 Bounds on connective constants of regular graphs. Zbl 1374.05123 Grimmett, Geoffrey R.; Li, Zhongyang 13 2015 Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263 Grimmett, Geoffrey R.; Manolescu, Ioan 16 2014 Probability. An introduction. 2nd ed. Zbl 1302.60005 Grimmett, Geoffrey; Welsh, Dominic 13 2014 Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102 Grimmett, Geoffrey R.; Li, Zhongyang 11 2014 Percolation of finite clusters and infinite surfaces. Zbl 1303.60090 Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady 9 2014 Extendable self-avoiding walks. Zbl 1285.05163 Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval 7 2014 Criticality, universality, and isoradiality. Zbl 1373.60157 Grimmett, Geoffrey R. 1 2014 Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167 Grimmett, Geoffrey R.; Manolescu, Ioan 15 2013 Self-avoiding walks and the Fisher transformation. Zbl 1295.05123 Grimmett, Geoffrey; Li, Zhongyang 12 2013 Universality for bond percolation in two dimensions. Zbl 1284.60168 Grimmett, Geoffrey R.; Manolescu, Ioan 10 2013 Cluster detection in networks using percolation. Zbl 1457.62177 Arias-Castro, Ery; Grimmett, Geoffrey R. 3 2013 European apportionment via the Cambridge compromise. Zbl 1237.91194 Grimmett, Geoffrey R. 12 2012 Geometry of Lipschitz percolation. Zbl 1255.60167 Grimmett, G. R.; Holroyd, A. E. 12 2012 Percolation theory at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and 1665 (1997). Zbl 1260.60007 Grimmett, Geoffrey R.; Kesten, Harry 11 2012 Lattice embeddings in percolation. Zbl 1238.60110 Grimmett, Geoffrey R.; Holroyd, Alexander E. 7 2012 A power-weighted variant of the EU27 Cambridge compromise. Zbl 1237.91180 Grimmett, G. R.; Oelbermann, K.-F.; Pukelsheim, F. 2 2012 Sharp thresholds for the random-cluster and Ising models. Zbl 1223.60081 Graham, Benjamin; Grimmett, Geoffrey 12 2011 Three theorems in discrete random geometry. Zbl 1245.60093 Grimmett, Geoffrey 5 2011 Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003 Grimmett, Geoffrey 45 2010 Lipschitz percolation. Zbl 1193.60115 Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael 19 2010 Plaquettes, spheres, and entanglement. Zbl 1229.60107 Grimmett, Geoffrey R.; Holroyd, Alexander E. 17 2010 Percolation of arbitrary words in one dimension. Zbl 1202.60155 Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas 7 2010 Three problems for the clairvoyant demon. Zbl 1208.60102 Grimmett, Geoffrey 5 2010 Random graphs with forbidden vertex degrees. Zbl 1209.05224 Grimmett, Geoffrey; Janson, Svante 4 2010 Random even graphs. Zbl 1214.05155 Grimmett, Geoffrey; Janson, Svante 12 2009 The phase transition of the quantum Ising model is sharp. Zbl 1186.82022 Björnberg, J. E.; Grimmett, G. R. 12 2009 John Michael Hammersley, FRS, 1920-2004. Zbl 1179.01041 Grimmett, Geoffrey; Welsh, Dominic 1 2009 Entanglement in the quantum Ising model. Zbl 1144.82036 Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F. 9 2008 Space-time percolation. Zbl 1173.82362 Grimmett, Geoffrey R. 4 2008 Flows and ferromagnets. Zbl 1118.82010 Grimmett, Geoffrey 1 2007 Combinatorics, complexity, and chance. A tribute to Dominic Welsh. Zbl 1108.05004 1 2007 The random-cluster model. Zbl 1122.60087 Grimmett, Geoffrey R. 173 2006 Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099 Graham, B. T.; Grimmett, G. R. 27 2006 Random-cluster representation of the Blume-Capel model. Zbl 1110.82023 Graham, B. T.; Grimmett, G. R. 2 2006 Uniqueness and multiplicity of infinite clusters. Zbl 1125.82005 Grimmett, Geoffrey 2 2006 Branching processes, and random-cluster measures on trees. Zbl 1073.60095 Grimmett, Geoffrey; Janson, Swante 1 2005 The random-cluster model. Zbl 1045.60105 Grimmett, Geoffrey 25 2004 Negative association in uniform forests and connected graphs. Zbl 1048.60007 Grimmett, G. R.; Winkler, S. N. 15 2004 Stochastic apportionment. Zbl 1138.60301 Grimmett, Geoffrey 1 2004 On smallest triangles. Zbl 1034.60008 Grimmett, Geoffrey; Janson, Svante 3 2003 Directed percolation and random walk. Zbl 1010.60087 Grimmett, Geoffrey; Hiemer, Philipp 22 2002 Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007 Gielis, Guy; Grimmett, Geoffrey 8 2002 Probability and random processes. 3rd ed. Zbl 1015.60002 Grimmett, Geoffrey R.; Stirzaker, David R. 289 2001 Infinite paths in randomly oriented lattices. Zbl 0982.05103 Grimmett, Geoffrey R. 7 2001 One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003 Grimmett, Geoffrey R.; Stirzaker, David R. 6 2001 Entanglement in percolation. Zbl 1026.60109 Grimmett, Geoffrey R.; Holroyd, Alexander E. 7 2000 Percolation. Zbl 1071.82527 Grimmett, Geoffrey R. 6 2000 Percolation. 2nd ed. Zbl 0926.60004 Grimmett, Geoffrey 519 1999 Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092 Grimmett, Geoffrey R. 3 1999 Critical probabilities for site and bond percolation models. Zbl 0935.60097 Grimmett, G. R.; Stacey, A. M. 17 1998 Dependent random graphs and spatial epidemics. Zbl 0946.92028 van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B. 15 1998 Percolation and minimal spanning trees. Zbl 0963.82020 Bezuidenhout, Carol; Grimmett, Geoffrey; Löffler, Armin 4 1998 Percolation and disordered systems. Zbl 0884.60089 Grimmett, Geoffrey 13 1997 Decay of correlations in random-cluster models. Zbl 0888.60084 Grimmett, G. R.; Piza, M. S. T. 7 1997 Large deviations in the random sieve. Zbl 0892.11029 Grimmett, Geoffrey 2 1997 The random-cluster model on the complete graph. Zbl 0846.05075 Bollobás, B.; Grimmett, G.; Janson, S. 23 1996 Random walks in random labyrinths. Zbl 0879.60108 Grimmett, G. R.; Menshikov, M. V.; Volkov, S. E. 2 1996 Probability theory and phase transition. Zbl 0879.60107 Grimmett, G. 1 1996 The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105 Grimmett, Geoffrey 47 1995 Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546 Grimmett, Geoffrey 6 1995 The random-cluster model. Zbl 0858.60093 Grimmett, G. 43 1994 Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082 Grimmett, Geoffrey 14 1994 Percolative problems. Zbl 0830.60094 Grimmett, Geoffrey 11 1994 Correction: On the geometry of random Cantor sets and fractal percolation. Zbl 0786.60014 Falconer, K. J.; Grimmett, G. R. 4 1994 Random walk on the infinite cluster of the percolation model. Zbl 0791.60095 Grimmett, G. R.; Kesten, H.; Zhang, Y. 33 1993 On the asymptotic distribution of large prime factors. Zbl 0839.11039 Donnelly, Peter; Grimmett, Geoffrey 25 1993 Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100 Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H. 17 1993 Differential inequalities for Potts and random-cluster processes. Zbl 0864.60091 Grimmett, Geoffrey 2 1993 Probability and random processes: Problems and solutions. Zbl 0759.60002 Grimmett, G. R.; Stirzaker, D. R. 156 1992 On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007 Falconer, K. J.; Grimmett, G. R. 19 1992 Probability and random processes. 2nd ed. Zbl 0759.60001 Grimmett, Geoffrey R.; Stirzaker, David R. 18 1992 Weak convergence using higher-order cumulants. Zbl 0759.60018 Grimmett, Geoffrey 2 1992 Exponential decay for subcritical contact and percolation processes. Zbl 0743.60107 Bezuidenhout, Carol; Grimmett, Geoffrey 42 1991 Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability. Zbl 0727.60118 Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. 28 1991 The critical point of fractal percolation in three and more dimensions. Zbl 0728.60102 Falconer, K. J.; Grimmett, G. R. 5 1991 Statistics of sieves and square-free numbers. Zbl 0728.11046 Grimmett, Geoffrey 4 1991 Dynamic renormalization and continuity of the percolation transition in orthants. Zbl 0745.60102 Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. 3 1991 The asymptotics of random sieves. Zbl 0725.11044 Grimmett, G. R.; Hall, R. R. 1 1991 The critical contact process dies out. Zbl 0718.60109 Bezuidenhout, Carol; Grimmett, Geoffrey 100 1990 The supercritical phase of percolation is well behaved. Zbl 0711.60100 Grimmett, G. R.; Marstrand, J. M. 88 1990 Percolation in \(\infty +1\) dimensions. Zbl 0721.60121 Grimmett, G. R.; Newman, C. M. 19 1990 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,634 Authors 58 Grimmett, Geoffrey R. 38 Duminil-Copin, Hugo 29 van der Hofstad, Remco W. 24 Peres, Yuval 22 Sidoravicius, Vladas 20 Hutchcroft, Tom 17 de Lima, Bernardo N. B. 17 Häggström, Olle 17 Newman, Charles Michael 16 Schinazi, Rinaldo B. 16 Tassion, Vincent 15 Penrose, Mathew D. 14 Damron, Michael 14 van den Berg, Rob 14 Zhang, Yu 13 Chayes, Lincoln 13 Janson, Svante 13 Slade, Gordon 13 Steif, Jeffrey E. 12 Blanca, Antonio 12 Camia, Federico 12 Chayes, Jennifer Tour 12 Durrett, Richard Timothy 12 Gheissari, Reza 12 Li, Zhongyang 12 Manolescu, Ioan 12 Meester, Ronald W. J. 12 Trapman, Pieter 11 Bollobás, Béla 11 Cerf, Raphaël 11 Cortés López, Juan Carlos 11 Frieze, Alan Michael 11 Holroyd, Alexander E. 11 Kesten, Harry 11 Kozma, Gady 11 Panagiotou, Konstantinos D. 11 Schramm, Oded 11 Valesin, Daniel 10 Biskup, Marek 10 Björnberg, Jakob Erik 10 Heydenreich, Markus 10 Lubetzky, Eyal 10 Sakai, Akira 10 Sanchis, Rémy 10 Sly, Allan 10 Sznitman, Alain-Sol 10 Vigoda, Eric 9 Benjamini, Itai 9 Doerr, Benjamin 9 Garet, Olivier 9 Mossel, Elchanan 9 Muirhead, Stephen 9 Teixeira, Augusto Quadros 9 Vares, Maria Eulalia 9 Wang, Jun 8 Aizenman, Michael 8 Alexander, Kenneth S. 8 Garban, Christophe 8 Hammond, Alan 8 Hilário, Marcelo Richard 8 Kang, Ross J. 8 McDiarmid, Colin J. H. 8 Mountford, Thomas S. 8 Nachmias, Asaf 8 Nolin, Pierre 8 Sapozhnikov, Artëm 8 Sauerwald, Thomas 8 Velenik, Yvan 7 Aldous, David John 7 Borgs, Christian 7 Chen, Lung-Chi 7 Coja-Oghlan, Amin 7 den Hollander, Frank 7 Dondl, Patrick Werner 7 Gandolfi, Alberto 7 Glazman, Alexander 7 Holmes, Mark P. 7 Hongler, Clément 7 Ioffe, Dmitry 7 Lanchier, Nicolas 7 Marchand, Régine 7 Pete, Gábor 7 Pittel, Boris G. 7 Raoufi, Aran 7 Schonmann, Roberto Henrique 7 Severo, Franco 7 Spinka, Yinon 7 Stauffer, Alexandre O. 7 Vanneuville, Hugo 6 Ahlberg, Daniel 6 Ball, Frank G. 6 Beffara, Vincent 6 Caputo, Pietro 6 Dembin, Barbara 6 Ding, Jian 6 Efthymiou, Charilaos 6 Faggionato, Alessandra 6 Fontes, Luiz Renato G. 6 Fountoulakis, Nikolaos 6 Garoni, Timothy M. ...and 2,534 more Authors all top 5 Cited in 377 Serials 152 The Annals of Probability 140 Journal of Statistical Physics 95 Probability Theory and Related Fields 90 The Annals of Applied Probability 81 Stochastic Processes and their Applications 75 Random Structures & Algorithms 71 Communications in Mathematical Physics 52 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 41 Journal of Applied Probability 37 Electronic Journal of Probability 33 Journal of Mathematical Physics 30 Combinatorics, Probability and Computing 29 Physica A 25 Advances in Applied Probability 23 Discrete Mathematics 23 Theoretical Computer Science 21 Journal of Theoretical Probability 21 ALEA. Latin American Journal of Probability and Mathematical Statistics 20 Statistics & Probability Letters 20 Journal of Physics A: Mathematical and Theoretical 19 Mathematical Biosciences 19 Journal of Statistical Mechanics: Theory and Experiment 18 Journal of Theoretical Biology 17 Journal of Mathematical Biology 15 Discrete Applied Mathematics 15 Theoretical Population Biology 14 Nuclear Physics. B 13 Israel Journal of Mathematics 12 Bernoulli 11 Transactions of the American Mathematical Society 11 Mathematical Social Sciences 11 The Electronic Journal of Combinatorics 11 Electronic Communications in Probability 11 Annals of Mathematics. Second Series 11 Probability Surveys 10 Journal of Combinatorial Theory. Series B 10 Algorithmica 10 Journal of the American Mathematical Society 10 Communications in Statistics. Theory and Methods 9 Computers & Mathematics with Applications 9 Communications on Pure and Applied Mathematics 9 Information Processing Letters 9 The Annals of Statistics 8 Bulletin of Mathematical Biology 8 Automatica 8 SIAM Journal on Discrete Mathematics 8 European Journal of Operational Research 8 Journal of the European Mathematical Society (JEMS) 8 Methodology and Computing in Applied Probability 7 Advances in Mathematics 7 Applied Mathematics and Computation 7 Journal of Computer and System Sciences 7 Stochastic Models 6 Journal of Mathematical Analysis and Applications 6 Memoirs of the American Mathematical Society 6 Mathematical Physics, Analysis and Geometry 6 Probability in the Engineering and Informational Sciences 6 Brazilian Journal of Probability and Statistics 6 Computer Science Review 5 Inventiones Mathematicae 5 Journal of Computational and Applied Mathematics 5 Journal of Functional Analysis 5 Journal of Statistical Planning and Inference 5 SIAM Journal on Computing 5 Advances in Applied Mathematics 5 Operations Research Letters 5 Combinatorica 5 Games and Economic Behavior 5 Bulletin of the American Mathematical Society. New Series 5 Distributed Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 The Mathematical Gazette 4 Duke Mathematical Journal 4 Journal of Economic Theory 4 Journal of Econometrics 4 Journal of Multivariate Analysis 4 European Journal of Combinatorics 4 Statistical Science 4 Annals of Operations Research 4 Annals of Physics 4 International Journal of Computer Mathematics 4 Journal of Statistical Computation and Simulation 4 Potential Analysis 4 Journal of Inequalities and Applications 4 International Journal of Theoretical and Applied Finance 4 Oberwolfach Reports 4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 4 Probability and Mathematical Physics 3 Archive for Rational Mechanics and Analysis 3 Journal d’Analyse Mathématique 3 Letters in Mathematical Physics 3 Lithuanian Mathematical Journal 3 Physics Letters. A 3 Reviews in Mathematical Physics 3 Journal of Combinatorial Theory. Series A 3 Journal of Differential Equations 3 Journal of Graph Theory 3 Proceedings of the American Mathematical Society 3 Statistica Neerlandica 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete ...and 277 more Serials all top 5 Cited in 59 Fields 1,341 Probability theory and stochastic processes (60-XX) 829 Statistical mechanics, structure of matter (82-XX) 479 Combinatorics (05-XX) 212 Computer science (68-XX) 171 Biology and other natural sciences (92-XX) 145 Statistics (62-XX) 115 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 90 Operations research, mathematical programming (90-XX) 74 Numerical analysis (65-XX) 58 Quantum theory (81-XX) 56 Dynamical systems and ergodic theory (37-XX) 53 Partial differential equations (35-XX) 45 Information and communication theory, circuits (94-XX) 37 Measure and integration (28-XX) 31 Systems theory; control (93-XX) 26 Number theory (11-XX) 24 Ordinary differential equations (34-XX) 21 Group theory and generalizations (20-XX) 17 Operator theory (47-XX) 16 Mechanics of deformable solids (74-XX) 15 Convex and discrete geometry (52-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Real functions (26-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 10 General and overarching topics; collections (00-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Fluid mechanics (76-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Mathematical logic and foundations (03-XX) 6 History and biography (01-XX) 6 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 6 Algebraic topology (55-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Relativity and gravitational theory (83-XX) 4 Topological groups, Lie groups (22-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Geophysics (86-XX) 3 Associative rings and algebras (16-XX) 3 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Geometry (51-XX) 3 Mathematics education (97-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 General topology (54-XX) 1 General algebraic systems (08-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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