Edit Profile Grimmett, Geoffrey R. Compute Distance To: Compute Author ID: grimmett.geoffrey-r Published as: Grimmett, G.; Grimmett, G. R.; Grimmett, Geoffrey; Grimmett, Geoffrey R. External Links: MGP · Wikidata · dblp · GND Documents Indexed: 150 Publications since 1973, including 19 Books Reviewing Activity: 55 Reviews all top 5 Co-Authors 61 single-authored 12 Li, Zhongyang 7 Holroyd, Alexander E. 7 Stirzaker, David R. 6 Janson, Svante 6 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 2 Barsky, David J. 2 Cox, J. Theodore 2 Marstrand, John M. 2 McDiarmid, Colin J. H. 2 Osborne, Tobias J. 2 Scudo, Petra F. 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 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 Holmes, Mark H. 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 5 Random Structures & Algorithms 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Probability Theory and Related Fields 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 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 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 Journal of Probability 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 (AIHPD) all top 5 Fields 122 Probability theory and stochastic processes (60-XX) 79 Statistical mechanics, structure of matter (82-XX) 39 Combinatorics (05-XX) 5 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Statistics (62-XX) 3 Group theory and generalizations (20-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 2,274 times in 1,676 Documents Cited by ▼ Year ▼ Percolation. 2nd ed. Zbl 0926.60004Grimmett, Geoffrey 392 1999 Probability and random processes. 3rd ed. Zbl 1015.60002Grimmett, Geoffrey R.; Stirzaker, David R. 232 2001 Probability and random processes: Problems and solutions. Zbl 0759.60002Grimmett, G. R.; Stirzaker, D. R. 149 1992 The random-cluster model. Zbl 1122.60087Grimmett, Geoffrey R. 120 2006 The critical contact process dies out. Zbl 0718.60109Bezuidenhout, Carol; Grimmett, Geoffrey 85 1990 Percolation. With 76 illustrations. Zbl 0691.60089Grimmett, Geoffrey 78 1989 On colouring random graphs. Zbl 0297.05112Grimmett, G. R.; McDiarmid, C. J. H. 66 1975 The supercritical phase of percolation is well behaved. Zbl 0711.60100Grimmett, G. R.; Marstrand, J. M. 62 1990 Probability and random processes. Zbl 0493.60001Grimmett, Geoffrey; Stirzaker, David 56 1982 Central limit theorems for associated random variables and the percolation model. Zbl 0536.60094Cox, J. Theodore; Grimmett, Geoffrey 46 1984 The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105Grimmett, Geoffrey 45 1995 The shortest-path problem for graphs with random arc-lengths. Zbl 0608.05047Frieze, A. M.; Grimmett, G. R. 45 1985 First-passage percolation, network flows and electrical resistances. Zbl 0525.60098Grimmett, Geoffrey; Kesten, Harry 40 1984 Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003Grimmett, Geoffrey 37 2010 Exponential decay for subcritical contact and percolation processes. Zbl 0743.60107Bezuidenhout, Carol; Grimmett, Geoffrey 36 1991 The random-cluster model. Zbl 0858.60093Grimmett, G. 33 1994 Random walk on the infinite cluster of the percolation model. Zbl 0791.60095Grimmett, G. R.; Kesten, H.; Zhang, Y. 28 1993 Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability. Zbl 0727.60118Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. 25 1991 Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099Graham, B. T.; Grimmett, G. R. 23 2006 A theorem about random fields. Zbl 0261.60043Grimmett, G. R. 21 1973 Directed percolation and random walk. Zbl 1010.60087Grimmett, Geoffrey; Hiemer, Philipp 18 2002 Percolation in \(\infty +1\) dimensions. Zbl 0721.60121Grimmett, G. R.; Newman, C. M. 18 1990 On the asymptotic distribution of large prime factors. Zbl 0839.11039Donnelly, Peter; Grimmett, Geoffrey 16 1993 Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H. 16 1993 The random-cluster model. Zbl 1045.60105Grimmett, Geoffrey 15 2004 On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007Falconer, K. J.; Grimmett, G. R. 15 1992 Dependent random graphs and spatial epidemics. Zbl 0946.92028van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B. 14 1998 The random-cluster model on the complete graph. Zbl 0846.05075Bollobás, B.; Grimmett, G.; Janson, S. 14 1996 Probability: An introduction. Zbl 0606.60002Grimmett, Geoffrey; Welsh, Dominic 14 1986 Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082Grimmett, Geoffrey 13 1994 Probability and random processes. 2nd ed. Zbl 0759.60001Grimmett, Geoffrey R.; Stirzaker, David R. 13 1992 An upper bound for the number of spanning trees of a graph. Zbl 0348.05106Grimmett, G. R. 13 1977 Sharp thresholds for the random-cluster and Ising models. Zbl 1223.60081Graham, Benjamin; Grimmett, Geoffrey 12 2011 Plaquettes, spheres, and entanglement. Zbl 1229.60107Grimmett, Geoffrey R.; Holroyd, Alexander E. 12 2010 Lipschitz percolation. Zbl 1193.60115Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael 12 2010 The phase transition of the quantum Ising model is sharp. Zbl 1186.82022Björnberg, J. E.; Grimmett, G. R. 12 2009 Negative association in uniform forests and connected graphs. Zbl 1048.60007Grimmett, G. R.; Winkler, S. N. 12 2004 Critical probabilities for site and bond percolation models. Zbl 0935.60097Grimmett, G. R.; Stacey, A. M. 12 1998 Random labelled trees and their branching networks. Zbl 0455.05028Grimmett, G. R. 12 1980 Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167Grimmett, Geoffrey R.; Manolescu, Ioan 11 2013 Percolation theory at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and 1665 (1997). Zbl 1260.60007Grimmett, Geoffrey R.; Kesten, Harry 11 2012 European apportionment via the Cambridge compromise. Zbl 1237.91194Grimmett, Geoffrey R. 11 2012 Percolation and disordered systems. Zbl 0884.60089Grimmett, Geoffrey 11 1997 Percolative problems. Zbl 0830.60094Grimmett, Geoffrey 11 1994 On the number of clusters in the percolation model. Zbl 0338.60034Grimmett, G. R. 11 1976 Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102Grimmett, Geoffrey R.; Li, Zhongyang 10 2014 The correlation length for the high-density phase of Bernoulli perlocation. Zbl 0696.60094Chayes, J. T.; Chayes, L.; Grimmett, G. R.; Kesten, H.; Schonmann, R. H. 10 1989 Self-avoiding walks and amenability. Zbl 1376.05068Grimmett, Geoffrey; Li, Zhongyang 9 2017 Bounds on connective constants of regular graphs. Zbl 1374.05123Grimmett, Geoffrey R.; Li, Zhongyang 9 2015 Self-avoiding walks and the Fisher transformation. Zbl 1295.05123Grimmett, Geoffrey; Li, Zhongyang 9 2013 Random electrical networks on complete graphs. Zbl 0514.60097Grimmett, Geoffrey; Kesten, Harry 9 1984 Connective constants and height functions for Cayley graphs. Zbl 1362.05059Grimmett, Geoffrey R.; Li, Zhongyang 8 2017 Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263Grimmett, Geoffrey R.; Manolescu, Ioan 8 2014 Universality for bond percolation in two dimensions. Zbl 1284.60168Grimmett, Geoffrey R.; Manolescu, Ioan 8 2013 Geometry of Lipschitz percolation. Zbl 1255.60167Grimmett, G. R.; Holroyd, A. E. 8 2012 Random even graphs. Zbl 1214.05155Grimmett, Geoffrey; Janson, Svante 8 2009 On the uniqueness of the infinite cluster in the percolation model. Zbl 0649.60104Gandolfi, A.; Grimmett, G.; Russo, L. 8 1988 On the connectedness of a random graph. Zbl 0543.60016Grimmett, G. R.; Keane, M.; Marstrand, J. M. 8 1984 Locality of connective constants. Zbl 1397.05076Grimmett, Geoffrey R.; Li, Zhongyang 7 2018 Percolation of arbitrary words in one dimension. Zbl 1202.60155Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas 7 2010 Entanglement in the quantum Ising model. Zbl 1144.82036Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F. 7 2008 Decay of correlations in random-cluster models. Zbl 0888.60084Grimmett, G. R.; Piza, M. S. T. 7 1997 On the differentiability of the number of clusters per vertex in the percolation model. Zbl 0497.60010Grimmett, G. R. 7 1981 Extendable self-avoiding walks. Zbl 1285.05163Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval 6 2014 Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007Gielis, Guy; Grimmett, Geoffrey 6 2002 One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003Grimmett, Geoffrey R.; Stirzaker, David R. 6 2001 Infinite paths in randomly oriented lattices. Zbl 0982.05103Grimmett, Geoffrey R. 6 2001 Bond percolation on subsets of the square lattice, and the threshold between one-dimensional and two-dimensional behaviour. Zbl 0508.60082Grimmett, G. R. 6 1983 Critical sponge dimensions in percolation theory. Zbl 0459.60098Grimmett, G. R. 6 1981 Maximal solutions of the generalized subadditive inequality. Zbl 0291.62034Hammersley, J. M.; Grimmett, G. R. 6 1974 Entanglement in percolation. Zbl 1026.60109Grimmett, Geoffrey R.; Holroyd, Alexander E. 5 2000 Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546Grimmett, Geoffrey 5 1995 The critical point of fractal percolation in three and more dimensions. Zbl 0728.60102Falconer, K. J.; Grimmett, G. R. 5 1991 The 1-2 model. Zbl 1390.82013Grimmett, Geoffrey R.; Li, Zhongyang 4 2017 Percolation of finite clusters and infinite surfaces. Zbl 1303.60090Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady 4 2014 Lattice embeddings in percolation. Zbl 1238.60110Grimmett, Geoffrey R.; Holroyd, Alexander E. 4 2012 Space-time percolation. Zbl 1173.82362Grimmett, Geoffrey R. 4 2008 Percolation. Zbl 1071.82527Grimmett, Geoffrey R. 4 2000 Percolation and minimal spanning trees. Zbl 0963.82020Bezuidenhout, Carol; Grimmett, Geoffrey; Löffler, Armin 4 1998 Statistics of sieves and square-free numbers. Zbl 0728.11046Grimmett, Geoffrey 4 1991 An exact threshold theorem for random graphs and the node-packing problem. Zbl 0632.05031Grimmett, G. R. 4 1986 Random near-regular graphs and the node packing problem. Zbl 0577.05056Grimmett, G. R.; Pulleyblank, W. R. 4 1985 Flow in networks with random capacities. Zbl 0496.60009Grimmett, G. R.; Welsh, D. J. A. 4 1982 The rank polynomials of large random lattices. Zbl 0398.05009Grimmett, G. R. 4 1978 Correlation inequalities for the Potts model. Zbl 1357.82012Grimmett, Geoffrey 3 2016 Probability. An introduction. 2nd ed. Zbl 1302.60005Grimmett, Geoffrey; Welsh, Dominic 3 2014 Cluster detection in networks using percolation. Zbl 1457.62177Arias-Castro, Ery; Grimmett, Geoffrey R. 3 2013 Three theorems in discrete random geometry. Zbl 1245.60093Grimmett, Geoffrey 3 2011 Three problems for the clairvoyant demon. Zbl 1208.60102Grimmett, Geoffrey 3 2010 Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092Grimmett, Geoffrey R. 3 1999 Correction: On the geometry of random Cantor sets and fractal percolation. Zbl 0786.60014Falconer, K. J.; Grimmett, G. R. 3 1994 Disorder in physical systems. A volume in honour of John M. Hammersley on the occasion of his 70th birthday. Zbl 0714.00019Grimmett, G. R. (ed.); Welsh, D. J. A. (ed.) 3 1990 Random flows: Network flows and electrical flows through random media. Zbl 0565.90017Grimmett, G. R. 3 1985 Central limit theorems for percolation models. Zbl 0512.60094Cox, J. Theodore; Grimmett, Geoffrey 3 1981 Cubic graphs and the golden mean. Zbl 1429.05048Grimmett, Geoffrey R.; Li, Zhongyang 2 2020 On influence and compromise in two-tier voting systems. Zbl 1426.91095Grimmett, Geoffrey R. 2 2019 Critical surface of the 1-2 model. Zbl 1407.82020Grimmett, Geoffrey R.; Li, Zhongyang 2 2018 Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005Grimmett, Geoffrey 2 2018 A power-weighted variant of the EU27 Cambridge compromise. Zbl 1237.91180Grimmett, G. R.; Oelbermann, K.-F.; Pukelsheim, F. 2 2012 Random graphs with forbidden vertex degrees. Zbl 1209.05224Grimmett, Geoffrey; Janson, Svante 2 2010 Cubic graphs and the golden mean. Zbl 1429.05048Grimmett, Geoffrey R.; Li, Zhongyang 2 2020 On influence and compromise in two-tier voting systems. Zbl 1426.91095Grimmett, Geoffrey R. 2 2019 Self-avoiding walks and connective constants. Zbl 1446.82029Grimmett, Geoffrey R.; Li, Zhongyang 1 2019 Locality of connective constants. Zbl 1397.05076Grimmett, Geoffrey R.; Li, Zhongyang 7 2018 Critical surface of the 1-2 model. Zbl 1407.82020Grimmett, Geoffrey R.; Li, Zhongyang 2 2018 Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005Grimmett, Geoffrey 2 2018 Self-avoiding walks and amenability. Zbl 1376.05068Grimmett, Geoffrey; Li, Zhongyang 9 2017 Connective constants and height functions for Cayley graphs. Zbl 1362.05059Grimmett, Geoffrey R.; Li, Zhongyang 8 2017 The 1-2 model. Zbl 1390.82013Grimmett, Geoffrey R.; Li, Zhongyang 4 2017 Correlation inequalities for the Potts model. Zbl 1357.82012Grimmett, Geoffrey 3 2016 Critical surface of the hexagonal polygon model. Zbl 1342.82032Grimmett, Geoffrey R.; Li, Zhongyang 1 2016 Bounds on connective constants of regular graphs. Zbl 1374.05123Grimmett, Geoffrey R.; Li, Zhongyang 9 2015 Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102Grimmett, Geoffrey R.; Li, Zhongyang 10 2014 Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263Grimmett, Geoffrey R.; Manolescu, Ioan 8 2014 Extendable self-avoiding walks. Zbl 1285.05163Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval 6 2014 Percolation of finite clusters and infinite surfaces. Zbl 1303.60090Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady 4 2014 Probability. An introduction. 2nd ed. Zbl 1302.60005Grimmett, Geoffrey; Welsh, Dominic 3 2014 Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167Grimmett, Geoffrey R.; Manolescu, Ioan 11 2013 Self-avoiding walks and the Fisher transformation. Zbl 1295.05123Grimmett, Geoffrey; Li, Zhongyang 9 2013 Universality for bond percolation in two dimensions. Zbl 1284.60168Grimmett, Geoffrey R.; Manolescu, Ioan 8 2013 Cluster detection in networks using percolation. Zbl 1457.62177Arias-Castro, Ery; Grimmett, Geoffrey R. 3 2013 Percolation theory at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and 1665 (1997). Zbl 1260.60007Grimmett, Geoffrey R.; Kesten, Harry 11 2012 European apportionment via the Cambridge compromise. Zbl 1237.91194Grimmett, Geoffrey R. 11 2012 Geometry of Lipschitz percolation. Zbl 1255.60167Grimmett, G. R.; Holroyd, A. E. 8 2012 Lattice embeddings in percolation. Zbl 1238.60110Grimmett, Geoffrey R.; Holroyd, Alexander E. 4 2012 A power-weighted variant of the EU27 Cambridge compromise. Zbl 1237.91180Grimmett, G. R.; Oelbermann, K.-F.; Pukelsheim, F. 2 2012 Sharp thresholds for the random-cluster and Ising models. Zbl 1223.60081Graham, Benjamin; Grimmett, Geoffrey 12 2011 Three theorems in discrete random geometry. Zbl 1245.60093Grimmett, Geoffrey 3 2011 Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003Grimmett, Geoffrey 37 2010 Plaquettes, spheres, and entanglement. Zbl 1229.60107Grimmett, Geoffrey R.; Holroyd, Alexander E. 12 2010 Lipschitz percolation. Zbl 1193.60115Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael 12 2010 Percolation of arbitrary words in one dimension. Zbl 1202.60155Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas 7 2010 Three problems for the clairvoyant demon. Zbl 1208.60102Grimmett, Geoffrey 3 2010 Random graphs with forbidden vertex degrees. Zbl 1209.05224Grimmett, Geoffrey; Janson, Svante 2 2010 The phase transition of the quantum Ising model is sharp. Zbl 1186.82022Björnberg, J. E.; Grimmett, G. R. 12 2009 Random even graphs. Zbl 1214.05155Grimmett, Geoffrey; Janson, Svante 8 2009 Entanglement in the quantum Ising model. Zbl 1144.82036Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F. 7 2008 Space-time percolation. Zbl 1173.82362Grimmett, Geoffrey R. 4 2008 Flows and ferromagnets. Zbl 1118.82010Grimmett, Geoffrey 1 2007 Combinatorics, complexity, and chance. A tribute to Dominic Welsh. Zbl 1108.05004Grimmett, Geoffrey (ed.); McDiarmid, Colin (ed.) 1 2007 The random-cluster model. Zbl 1122.60087Grimmett, Geoffrey R. 120 2006 Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099Graham, B. T.; Grimmett, G. R. 23 2006 Random-cluster representation of the Blume-Capel model. Zbl 1110.82023Graham, B. T.; Grimmett, G. R. 2 2006 Uniqueness and multiplicity of infinite clusters. Zbl 1125.82005Grimmett, Geoffrey 1 2006 Branching processes, and random-cluster measures on trees. Zbl 1073.60095Grimmett, Geoffrey; Janson, Swante 1 2005 The random-cluster model. Zbl 1045.60105Grimmett, Geoffrey 15 2004 Negative association in uniform forests and connected graphs. Zbl 1048.60007Grimmett, G. R.; Winkler, S. N. 12 2004 Stochastic apportionment. Zbl 1138.60301Grimmett, Geoffrey 2 2004 On smallest triangles. Zbl 1034.60008Grimmett, Geoffrey; Janson, Svante 2 2003 Directed percolation and random walk. Zbl 1010.60087Grimmett, Geoffrey; Hiemer, Philipp 18 2002 Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007Gielis, Guy; Grimmett, Geoffrey 6 2002 Probability and random processes. 3rd ed. Zbl 1015.60002Grimmett, Geoffrey R.; Stirzaker, David R. 232 2001 One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003Grimmett, Geoffrey R.; Stirzaker, David R. 6 2001 Infinite paths in randomly oriented lattices. Zbl 0982.05103Grimmett, Geoffrey R. 6 2001 Entanglement in percolation. Zbl 1026.60109Grimmett, Geoffrey R.; Holroyd, Alexander E. 5 2000 Percolation. Zbl 1071.82527Grimmett, Geoffrey R. 4 2000 Percolation. 2nd ed. Zbl 0926.60004Grimmett, Geoffrey 392 1999 Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092Grimmett, Geoffrey R. 3 1999 Dependent random graphs and spatial epidemics. Zbl 0946.92028van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B. 14 1998 Critical probabilities for site and bond percolation models. Zbl 0935.60097Grimmett, G. R.; Stacey, A. M. 12 1998 Percolation and minimal spanning trees. Zbl 0963.82020Bezuidenhout, Carol; Grimmett, Geoffrey; Löffler, Armin 4 1998 Percolation and disordered systems. Zbl 0884.60089Grimmett, Geoffrey 11 1997 Decay of correlations in random-cluster models. Zbl 0888.60084Grimmett, G. R.; Piza, M. S. T. 7 1997 Large deviations in the random sieve. Zbl 0892.11029Grimmett, Geoffrey 1 1997 The random-cluster model on the complete graph. Zbl 0846.05075Bollobás, B.; Grimmett, G.; Janson, S. 14 1996 Random walks in random labyrinths. Zbl 0879.60108Grimmett, G. R.; Menshikov, M. V.; Volkov, S. E. 1 1996 Probability theory and phase transition. Zbl 0879.60107Grimmett, G. 1 1996 The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105Grimmett, Geoffrey 45 1995 Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546Grimmett, Geoffrey 5 1995 The random-cluster model. Zbl 0858.60093Grimmett, G. 33 1994 Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082Grimmett, Geoffrey 13 1994 Percolative problems. Zbl 0830.60094Grimmett, Geoffrey 11 1994 Correction: On the geometry of random Cantor sets and fractal percolation. Zbl 0786.60014Falconer, K. J.; Grimmett, G. R. 3 1994 Random walk on the infinite cluster of the percolation model. Zbl 0791.60095Grimmett, G. R.; Kesten, H.; Zhang, Y. 28 1993 On the asymptotic distribution of large prime factors. Zbl 0839.11039Donnelly, Peter; Grimmett, Geoffrey 16 1993 Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H. 16 1993 Differential inequalities for Potts and random-cluster processes. Zbl 0864.60091Grimmett, Geoffrey 2 1993 Probability and random processes: Problems and solutions. Zbl 0759.60002Grimmett, G. R.; Stirzaker, D. R. 149 1992 On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007Falconer, K. J.; Grimmett, G. R. 15 1992 Probability and random processes. 2nd ed. Zbl 0759.60001Grimmett, Geoffrey R.; Stirzaker, David R. 13 1992 Weak convergence using higher-order cumulants. Zbl 0759.60018Grimmett, Geoffrey 2 1992 Exponential decay for subcritical contact and percolation processes. Zbl 0743.60107Bezuidenhout, Carol; Grimmett, Geoffrey 36 1991 Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability. Zbl 0727.60118Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. 25 1991 The critical point of fractal percolation in three and more dimensions. Zbl 0728.60102Falconer, K. J.; Grimmett, G. R. 5 1991 Statistics of sieves and square-free numbers. Zbl 0728.11046Grimmett, Geoffrey 4 1991 Dynamic renormalization and continuity of the percolation transition in orthants. Zbl 0745.60102Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M. 2 1991 The critical contact process dies out. Zbl 0718.60109Bezuidenhout, Carol; Grimmett, Geoffrey 85 1990 The supercritical phase of percolation is well behaved. Zbl 0711.60100Grimmett, G. R.; Marstrand, J. M. 62 1990 Percolation in \(\infty +1\) dimensions. Zbl 0721.60121Grimmett, G. R.; Newman, C. M. 18 1990 Disorder in physical systems. A volume in honour of John M. Hammersley on the occasion of his 70th birthday. Zbl 0714.00019Grimmett, G. R. (ed.); Welsh, D. J. A. (ed.) 3 1990 Percolation. With 76 illustrations. Zbl 0691.60089Grimmett, Geoffrey 78 1989 The correlation length for the high-density phase of Bernoulli perlocation. Zbl 0696.60094Chayes, J. T.; Chayes, L.; Grimmett, G. R.; Kesten, H.; Schonmann, R. H. 10 1989 On the uniqueness of the infinite cluster in the percolation model. Zbl 0649.60104Gandolfi, A.; Grimmett, G.; Russo, L. 8 1988 Recent progress in percolation. Zbl 0682.60096Grimmett, G. R. 2 1987 Probability: An introduction. Zbl 0606.60002Grimmett, Geoffrey; Welsh, Dominic 14 1986 An exact threshold theorem for random graphs and the node-packing problem. Zbl 0632.05031Grimmett, G. R. 4 1986 The shortest-path problem for graphs with random arc-lengths. Zbl 0608.05047Frieze, A. M.; Grimmett, G. R. 45 1985 Random near-regular graphs and the node packing problem. Zbl 0577.05056Grimmett, G. R.; Pulleyblank, W. R. 4 1985 Random flows: Network flows and electrical flows through random media. Zbl 0565.90017Grimmett, G. R. 3 1985 Large deviations in subadditive processes and first-passage percolation. Zbl 0596.60026Grimmett, Geoffrey 2 1985 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,142 Authors 51 Grimmett, Geoffrey R. 28 Duminil-Copin, Hugo 28 van der Hofstad, Remco W. 21 Peres, Yuval 21 Sidoravicius, Vladas 16 Häggström, Olle 16 Newman, Charles Michael 15 Penrose, Mathew D. 14 Schinazi, Rinaldo B. 14 van den Berg, Rob 13 Chayes, Lincoln 13 Damron, Michael 13 Zhang, Yu 12 Chayes, Jennifer Tour 12 Meester, Ronald W. J. 11 Biskup, Marek 11 Camia, Federico 11 de Lima, Bernardo N. B. 11 Durrett, Richard Timothy 11 Janson, Svante 11 Kesten, Harry 11 Li, Zhongyang 11 Steif, Jeffrey E. 11 Trapman, Pieter 10 Bollobás, Béla 10 Cortés López, Juan Carlos 10 Frieze, Alan Michael 10 Kozma, Gady 10 Schramm, Oded 9 Benjamini, Itai 9 Björnberg, Jakob Erik 9 Cerf, Raphaël 9 Holroyd, Alexander E. 9 Sakai, Akira 9 Slade, Gordon 8 Alexander, Kenneth S. 8 Doerr, Benjamin 8 Garet, Olivier 8 Heydenreich, Markus 8 Hutchcroft, Tom 8 Manolescu, Ioan 8 Mossel, Elchanan 8 Sly, Allan 8 Sznitman, Alain-Sol 7 Aldous, David John 7 Borgs, Christian 7 Gandolfi, Alberto 7 Garban, Christophe 7 Hammond, Alan 7 Ioffe, Dmitry 7 Kang, Ross J. 7 Lanchier, Nicolas 7 Lubetzky, Eyal 7 McDiarmid, Colin J. H. 7 Mountford, Thomas S. 7 Panagiotou, Konstantinos D. 7 Pete, Gábor 7 Pittel, Boris G. 7 Sanchis, Rémy 7 Sapozhnikov, Artëm 7 Sauerwald, Thomas 7 Tassion, Vincent 7 Vares, Maria Eulalia 7 Velenik, Yvan 7 Wang, Jun 6 Ahlberg, Daniel 6 Aizenman, Michael 6 Ball, Frank G. 6 Beffara, Vincent 6 Coja-Oghlan, Amin 6 Ding, Jian 6 Efthymiou, Charilaos 6 Fountoulakis, Nikolaos 6 Garoni, Timothy M. 6 Holmes, Mark P. 6 Hongler, Clément 6 Marchand, Régine 6 Nachmias, Asaf 6 Nolin, Pierre 6 Raoufi, Aran 6 Schonmann, Roberto Henrique 6 Stauffer, Alexandre O. 6 Steel, Michael Anthony 6 Teixeira, Augusto Quadros 6 Valesin, Daniel 6 Villafuerte, Laura 6 Wu, C. Chris 6 Yao, Changlong 5 Bodineau, Thierry 5 Broman, Erik Ivar 5 Chen, Lung-Chi 5 Cox, J. Theodore 5 Dembin, Barbara 5 Faggionato, Alessandra 5 Ferrari, Pablo Augusto 5 Gheissari, Reza 5 Goldberg, Leslie Ann 5 Hanson, Jack 5 Járai, Antal A. 5 Kahn, Jeff D. ...and 2,042 more Authors all top 5 Cited in 326 Serials 135 The Annals of Probability 124 Journal of Statistical Physics 78 The Annals of Applied Probability 74 Probability Theory and Related Fields 74 Stochastic Processes and their Applications 55 Communications in Mathematical Physics 52 Random Structures & Algorithms 37 Journal of Applied Probability 37 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 26 Combinatorics, Probability and Computing 24 Advances in Applied Probability 24 Journal of Mathematical Physics 23 Theoretical Computer Science 20 Discrete Mathematics 20 Statistics & Probability Letters 19 Mathematical Biosciences 17 Journal of Theoretical Biology 16 Theoretical Population Biology 15 Discrete Applied Mathematics 15 Nuclear Physics. B 15 Journal of Theoretical Probability 14 Journal of Mathematical Biology 14 Physica A 13 Electronic Journal of Probability 11 Mathematical Social Sciences 11 Journal of Statistical Mechanics: Theory and Experiment 11 ALEA. Latin American Journal of Probability and Mathematical Statistics 10 Computers & Mathematics with Applications 10 Bernoulli 10 Probability Surveys 9 Information Processing Letters 9 Algorithmica 9 Journal of the American Mathematical Society 9 SIAM Journal on Discrete Mathematics 9 Annals of Mathematics. Second Series 8 Communications on Pure and Applied Mathematics 8 Israel Journal of Mathematics 8 Automatica 8 Journal of Combinatorial Theory. Series B 8 Transactions of the American Mathematical Society 8 Communications in Statistics. Theory and Methods 8 European Journal of Operational Research 7 Bulletin of Mathematical Biology 7 The Annals of Statistics 7 Applied Mathematics and Computation 7 Journal of the European Mathematical Society (JEMS) 6 Journal of Mathematical Analysis and Applications 6 Journal of Computer and System Sciences 6 Brazilian Journal of Probability and Statistics 6 Stochastic Models 5 Journal of Computational and Applied Mathematics 5 Journal of Functional Analysis 5 Journal of Statistical Planning and Inference 5 Operations Research Letters 5 Combinatorica 5 Journal of Economic Dynamics & Control 5 Games and Economic Behavior 5 Electronic Communications in Probability 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 Methodology and Computing in Applied Probability 5 Journal of Physics A: Mathematical and Theoretical 4 Advances in Mathematics 4 Inventiones Mathematicae 4 Journal of Economic Theory 4 Advances in Applied Mathematics 4 Annals of Operations Research 4 Distributed Computing 4 International Journal of Theoretical and Applied Finance 4 Probability in the Engineering and Informational Sciences 4 Computer Science Review 3 Journal d’Analyse Mathématique 3 Lithuanian Mathematical Journal 3 The Mathematical Gazette 3 Physics Letters. A 3 Journal of Combinatorial Theory. Series A 3 Journal of Differential Equations 3 Journal of Multivariate Analysis 3 Memoirs of the American Mathematical Society 3 Proceedings of the American Mathematical Society 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 SIAM Journal on Algebraic and Discrete Methods 3 Physica D 3 Statistical Science 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Queueing Systems 3 Annals of Physics 3 International Journal of Computer Mathematics 3 Journal of Statistical Computation and Simulation 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Computational Statistics and Data Analysis 3 Indagationes Mathematicae. New Series 3 Continuum Mechanics and Thermodynamics 3 Journal of Algebraic Combinatorics 3 Abstract and Applied Analysis 3 Mathematical Physics, Analysis and Geometry 3 Journal of Inequalities and Applications 3 Annals of Combinatorics 3 Chaos ...and 226 more Serials all top 5 Cited in 60 Fields 1,048 Probability theory and stochastic processes (60-XX) 615 Statistical mechanics, structure of matter (82-XX) 346 Combinatorics (05-XX) 167 Computer science (68-XX) 147 Biology and other natural sciences (92-XX) 107 Statistics (62-XX) 100 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Operations research, mathematical programming (90-XX) 55 Numerical analysis (65-XX) 43 Dynamical systems and ergodic theory (37-XX) 41 Quantum theory (81-XX) 36 Partial differential equations (35-XX) 36 Information and communication theory, circuits (94-XX) 31 Systems theory; control (93-XX) 26 Measure and integration (28-XX) 24 Number theory (11-XX) 19 Ordinary differential equations (34-XX) 16 Group theory and generalizations (20-XX) 13 Mechanics of deformable solids (74-XX) 11 Operator theory (47-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Convex and discrete geometry (52-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Mathematical logic and foundations (03-XX) 8 Real functions (26-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Fluid mechanics (76-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Special functions (33-XX) 4 Algebraic topology (55-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Relativity and gravitational theory (83-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Approximations and expansions (41-XX) 3 Manifolds and cell complexes (57-XX) 3 Mechanics of particles and systems (70-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Geophysics (86-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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