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Grimmett, Geoffrey R.

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Author ID: grimmett.geoffrey-r Recent zbMATH articles by "Grimmett, Geoffrey R."
Published as: Grimmett, Geoffrey; Grimmett, Geoffrey R.; Grimmett, G. R.; Grimmett, G.
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
Documents Indexed: 150 Publications since 1973, including 15 Books
5 Contributions as Editor
Reviewing Activity: 55 Reviews
Co-Authors: 61 Co-Authors with 91 Joint Publications
1,839 Co-Co-Authors
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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 (AIHPD)

Publications by Year

Citations contained in zbMATH Open

129 Publications have been cited 2,391 times in 1,803 Documents Cited by Year
Percolation. 2nd ed. Zbl 0926.60004
Grimmett, Geoffrey
407
1999
Probability and random processes. 3rd ed. Zbl 1015.60002
Grimmett, Geoffrey R.; Stirzaker, David R.
243
2001
Probability and random processes: Problems and solutions. Zbl 0759.60002
Grimmett, G. R.; Stirzaker, D. R.
149
1992
The random-cluster model. Zbl 1122.60087
Grimmett, Geoffrey R.
134
2006
The critical contact process dies out. Zbl 0718.60109
Bezuidenhout, Carol; Grimmett, Geoffrey
92
1990
On colouring random graphs. Zbl 0297.05112
Grimmett, G. R.; McDiarmid, C. J. H.
74
1975
Percolation. With 76 illustrations. Zbl 0691.60089
Grimmett, Geoffrey
72
1989
The supercritical phase of percolation is well behaved. Zbl 0711.60100
Grimmett, G. R.; Marstrand, J. M.
68
1990
The shortest-path problem for graphs with random arc-lengths. Zbl 0608.05047
Frieze, A. M.; Grimmett, G. R.
53
1985
Central limit theorems for associated random variables and the percolation model. Zbl 0536.60094
Cox, J. Theodore; Grimmett, Geoffrey
47
1984
The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105
Grimmett, Geoffrey
45
1995
First-passage percolation, network flows and electrical resistances. Zbl 0525.60098
Grimmett, Geoffrey; Kesten, Harry
41
1984
Exponential decay for subcritical contact and percolation processes. Zbl 0743.60107
Bezuidenhout, Carol; Grimmett, Geoffrey
38
1991
Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003
Grimmett, Geoffrey
36
2010
The random-cluster model. Zbl 0858.60093
Grimmett, G.
34
1994
Probability and random processes. Zbl 0493.60001
Grimmett, Geoffrey; Stirzaker, David
32
1982
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
30
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.
27
1991
Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099
Graham, B. T.; Grimmett, G. R.
24
2006
A theorem about random fields. Zbl 0261.60043
Grimmett, G. R.
22
1973
On the asymptotic distribution of large prime factors. Zbl 0839.11039
Donnelly, Peter; Grimmett, Geoffrey
19
1993
Directed percolation and random walk. Zbl 1010.60087
Grimmett, Geoffrey; Hiemer, Philipp
19
2002
The random-cluster model on the complete graph. Zbl 0846.05075
Bollobás, B.; Grimmett, G.; Janson, S.
18
1996
Percolation in \(\infty +1\) dimensions. Zbl 0721.60121
Grimmett, G. R.; Newman, C. M.
18
1990
The random-cluster model. Zbl 1045.60105
Grimmett, Geoffrey
18
2004
On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007
Falconer, K. J.; Grimmett, G. R.
17
1992
Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100
Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H.
16
1993
Probability and random processes. 2nd ed. Zbl 0759.60001
Grimmett, Geoffrey R.; Stirzaker, David R.
15
1992
Plaquettes, spheres, and entanglement. Zbl 1229.60107
Grimmett, Geoffrey R.; Holroyd, Alexander E.
14
2010
Lipschitz percolation. Zbl 1193.60115
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael
14
2010
Dependent random graphs and spatial epidemics. Zbl 0946.92028
van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B.
14
1998
Random labelled trees and their branching networks. Zbl 0455.05028
Grimmett, G. R.
14
1980
Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082
Grimmett, Geoffrey
13
1994
An upper bound for the number of spanning trees of a graph. Zbl 0348.05106
Grimmett, G. R.
13
1977
Critical probabilities for site and bond percolation models. Zbl 0935.60097
Grimmett, G. R.; Stacey, A. M.
13
1998
Negative association in uniform forests and connected graphs. Zbl 1048.60007
Grimmett, G. R.; Winkler, S. N.
13
2004
Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167
Grimmett, Geoffrey R.; Manolescu, Ioan
13
2013
Probability: An introduction. Zbl 0606.60002
Grimmett, Geoffrey; Welsh, Dominic
12
1986
Sharp thresholds for the random-cluster and Ising models. Zbl 1223.60081
Graham, Benjamin; Grimmett, Geoffrey
12
2011
Percolation and disordered systems. Zbl 0884.60089
Grimmett, Geoffrey
12
1997
The phase transition of the quantum Ising model is sharp. Zbl 1186.82022
Björnberg, J. E.; Grimmett, G. R.
12
2009
On the number of clusters in the percolation model. Zbl 0338.60034
Grimmett, G. R.
12
1976
Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263
Grimmett, Geoffrey R.; Manolescu, Ioan
12
2014
Percolative problems. Zbl 0830.60094
Grimmett, Geoffrey
11
1994
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.
11
1989
Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102
Grimmett, Geoffrey R.; Li, Zhongyang
11
2014
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
European apportionment via the Cambridge compromise. Zbl 1237.91194
Grimmett, Geoffrey R.
11
2012
Bounds on connective constants of regular graphs. Zbl 1374.05123
Grimmett, Geoffrey R.; Li, Zhongyang
11
2015
On the connectedness of a random graph. Zbl 0543.60016
Grimmett, G. R.; Keane, M.; Marstrand, J. M.
10
1984
On the uniqueness of the infinite cluster in the percolation model. Zbl 0649.60104
Gandolfi, A.; Grimmett, G.; Russo, L.
10
1988
Geometry of Lipschitz percolation. Zbl 1255.60167
Grimmett, G. R.; Holroyd, A. E.
10
2012
Locality of connective constants. Zbl 1397.05076
Grimmett, Geoffrey R.; Li, Zhongyang
9
2018
Random electrical networks on complete graphs. Zbl 0514.60097
Grimmett, Geoffrey; Kesten, Harry
9
1984
Random even graphs. Zbl 1214.05155
Grimmett, Geoffrey; Janson, Svante
9
2009
Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005
Grimmett, Geoffrey
9
2018
Connective constants and height functions for Cayley graphs. Zbl 1362.05059
Grimmett, Geoffrey R.; Li, Zhongyang
9
2017
Self-avoiding walks and amenability. Zbl 1376.05068
Grimmett, Geoffrey; Li, Zhongyang
9
2017
Self-avoiding walks and the Fisher transformation. Zbl 1295.05123
Grimmett, Geoffrey; Li, Zhongyang
9
2013
Probability. An introduction. 2nd ed. Zbl 1302.60005
Grimmett, Geoffrey; Welsh, Dominic
8
2014
Universality for bond percolation in two dimensions. Zbl 1284.60168
Grimmett, Geoffrey R.; Manolescu, Ioan
8
2013
Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007
Gielis, Guy; Grimmett, Geoffrey
7
2002
On the differentiability of the number of clusters per vertex in the percolation model. Zbl 0497.60010
Grimmett, G. R.
7
1981
Percolation of arbitrary words in one dimension. Zbl 1202.60155
Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas
7
2010
Decay of correlations in random-cluster models. Zbl 0888.60084
Grimmett, G. R.; Piza, M. S. T.
7
1997
Entanglement in the quantum Ising model. Zbl 1144.82036
Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F.
7
2008
Extendable self-avoiding walks. Zbl 1285.05163
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval
7
2014
Infinite paths in randomly oriented lattices. Zbl 0982.05103
Grimmett, Geoffrey R.
6
2001
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
Maximal solutions of the generalized subadditive inequality. Zbl 0291.62034
Hammersley, J. M.; Grimmett, G. R.
6
1974
Lattice embeddings in percolation. Zbl 1238.60110
Grimmett, Geoffrey R.; Holroyd, Alexander E.
6
2012
Percolation. Zbl 1071.82527
Grimmett, Geoffrey R.
5
2000
Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546
Grimmett, Geoffrey
5
1995
An exact threshold theorem for random graphs and the node-packing problem. Zbl 0632.05031
Grimmett, G. R.
5
1986
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
Entanglement in percolation. Zbl 1026.60109
Grimmett, Geoffrey R.; Holroyd, Alexander E.
5
2000
Critical sponge dimensions in percolation theory. Zbl 0459.60098
Grimmett, G. R.
5
1981
Percolation of finite clusters and infinite surfaces. Zbl 1303.60090
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady
5
2014
Flow in networks with random capacities. Zbl 0496.60009
Grimmett, G. R.; Welsh, D. J. A.
4
1982
Statistics of sieves and square-free numbers. Zbl 0728.11046
Grimmett, Geoffrey
4
1991
The rank polynomials of large random lattices. Zbl 0398.05009
Grimmett, G. R.
4
1978
Space-time percolation. Zbl 1173.82362
Grimmett, Geoffrey R.
4
2008
Probability and random processes. 4th edition. Zbl 1437.60004
Grimmett, Geoffrey R.; Stirzaker, David R.
4
2020
Three theorems in discrete random geometry. Zbl 1245.60093
Grimmett, Geoffrey
4
2011
Percolation and minimal spanning trees. Zbl 0963.82020
Bezuidenhout, Carol; Grimmett, Geoffrey; Löffler, Armin
4
1998
The 1-2 model. Zbl 1390.82013
Grimmett, Geoffrey R.; Li, Zhongyang
4
2017
Dynamic renormalization and continuity of the percolation transition in orthants. Zbl 0745.60102
Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M.
3
1991
Central limit theorems for percolation models. Zbl 0512.60094
Cox, J. Theodore; Grimmett, Geoffrey
3
1981
Random flows: Network flows and electrical flows through random media. Zbl 0565.90017
Grimmett, G. R.
3
1985
Three problems for the clairvoyant demon. Zbl 1208.60102
Grimmett, Geoffrey
3
2010
Correction: On the geometry of random Cantor sets and fractal percolation. Zbl 0786.60014
Falconer, K. J.; Grimmett, G. R.
3
1994
One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003
Grimmett, Geoffrey R.; Stirzaker, David R.
3
2001
Critical surface of the 1-2 model. Zbl 1407.82020
Grimmett, Geoffrey R.; Li, Zhongyang
3
2018
Cluster detection in networks using percolation. Zbl 1457.62177
Arias-Castro, Ery; Grimmett, Geoffrey R.
3
2013
Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092
Grimmett, Geoffrey R.
3
1999
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
3
2016
Differential inequalities for Potts and random-cluster processes. Zbl 0864.60091
Grimmett, Geoffrey
2
1993
Disorder in physical systems. A volume in honour of John M. Hammersley on the occasion of his 70th birthday. Zbl 0714.00019
2
1990
Weak convergence using higher-order cumulants. Zbl 0759.60018
Grimmett, Geoffrey
2
1992
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.
4
2020
Cubic graphs and the golden mean. Zbl 1429.05048
Grimmett, Geoffrey R.; Li, Zhongyang
2
2020
One thousand exercises in probability. 3rd revised and updated edition. Zbl 1437.60003
Grimmett, Geoffrey R.; Stirzaker, David R.
1
2020
Harry Kesten (1931–2019): a personal and scientific tribute. Zbl 1454.01047
Grimmett, Geoffrey R.; Lawler, Gregory F.
1
2020
On influence and compromise in two-tier voting systems. Zbl 1426.91095
Grimmett, Geoffrey R.
2
2019
Self-avoiding walks and connective constants. Zbl 1446.82029
Grimmett, Geoffrey R.; Li, Zhongyang
1
2019
Locality of connective constants. Zbl 1397.05076
Grimmett, Geoffrey R.; Li, Zhongyang
9
2018
Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005
Grimmett, Geoffrey
9
2018
Critical surface of the 1-2 model. Zbl 1407.82020
Grimmett, Geoffrey R.; Li, Zhongyang
3
2018
Connective constants and height functions for Cayley graphs. Zbl 1362.05059
Grimmett, Geoffrey R.; Li, Zhongyang
9
2017
Self-avoiding walks and amenability. Zbl 1376.05068
Grimmett, Geoffrey; Li, Zhongyang
9
2017
The 1-2 model. Zbl 1390.82013
Grimmett, Geoffrey R.; Li, Zhongyang
4
2017
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
3
2016
Critical surface of the hexagonal polygon model. Zbl 1342.82032
Grimmett, Geoffrey R.; Li, Zhongyang
1
2016
Bounds on connective constants of regular graphs. Zbl 1374.05123
Grimmett, Geoffrey R.; Li, Zhongyang
11
2015
Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263
Grimmett, Geoffrey R.; Manolescu, Ioan
12
2014
Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102
Grimmett, Geoffrey R.; Li, Zhongyang
11
2014
Probability. An introduction. 2nd ed. Zbl 1302.60005
Grimmett, Geoffrey; Welsh, Dominic
8
2014
Extendable self-avoiding walks. Zbl 1285.05163
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval
7
2014
Percolation of finite clusters and infinite surfaces. Zbl 1303.60090
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady
5
2014
Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167
Grimmett, Geoffrey R.; Manolescu, Ioan
13
2013
Self-avoiding walks and the Fisher transformation. Zbl 1295.05123
Grimmett, Geoffrey; Li, Zhongyang
9
2013
Universality for bond percolation in two dimensions. Zbl 1284.60168
Grimmett, Geoffrey R.; Manolescu, Ioan
8
2013
Cluster detection in networks using percolation. Zbl 1457.62177
Arias-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 1260.60007
Grimmett, Geoffrey R.; Kesten, Harry
11
2012
European apportionment via the Cambridge compromise. Zbl 1237.91194
Grimmett, Geoffrey R.
11
2012
Geometry of Lipschitz percolation. Zbl 1255.60167
Grimmett, G. R.; Holroyd, A. E.
10
2012
Lattice embeddings in percolation. Zbl 1238.60110
Grimmett, Geoffrey R.; Holroyd, Alexander E.
6
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
4
2011
Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003
Grimmett, Geoffrey
36
2010
Plaquettes, spheres, and entanglement. Zbl 1229.60107
Grimmett, Geoffrey R.; Holroyd, Alexander E.
14
2010
Lipschitz percolation. Zbl 1193.60115
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael
14
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
3
2010
Random graphs with forbidden vertex degrees. Zbl 1209.05224
Grimmett, Geoffrey; Janson, Svante
2
2010
The phase transition of the quantum Ising model is sharp. Zbl 1186.82022
Björnberg, J. E.; Grimmett, G. R.
12
2009
Random even graphs. Zbl 1214.05155
Grimmett, Geoffrey; Janson, Svante
9
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.
7
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.
134
2006
Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099
Graham, B. T.; Grimmett, G. R.
24
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
1
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
18
2004
Negative association in uniform forests and connected graphs. Zbl 1048.60007
Grimmett, G. R.; Winkler, S. N.
13
2004
Stochastic apportionment. Zbl 1138.60301
Grimmett, Geoffrey
1
2004
On smallest triangles. Zbl 1034.60008
Grimmett, Geoffrey; Janson, Svante
2
2003
Directed percolation and random walk. Zbl 1010.60087
Grimmett, Geoffrey; Hiemer, Philipp
19
2002
Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007
Gielis, Guy; Grimmett, Geoffrey
7
2002
Probability and random processes. 3rd ed. Zbl 1015.60002
Grimmett, Geoffrey R.; Stirzaker, David R.
243
2001
Infinite paths in randomly oriented lattices. Zbl 0982.05103
Grimmett, Geoffrey R.
6
2001
One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003
Grimmett, Geoffrey R.; Stirzaker, David R.
3
2001
Percolation. Zbl 1071.82527
Grimmett, Geoffrey R.
5
2000
Entanglement in percolation. Zbl 1026.60109
Grimmett, Geoffrey R.; Holroyd, Alexander E.
5
2000
Percolation. 2nd ed. Zbl 0926.60004
Grimmett, Geoffrey
407
1999
Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092
Grimmett, Geoffrey R.
3
1999
Dependent random graphs and spatial epidemics. Zbl 0946.92028
van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B.
14
1998
Critical probabilities for site and bond percolation models. Zbl 0935.60097
Grimmett, G. R.; Stacey, A. M.
13
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
12
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
1
1997
The random-cluster model on the complete graph. Zbl 0846.05075
Bollobás, B.; Grimmett, G.; Janson, S.
18
1996
Probability theory and phase transition. Zbl 0879.60107
Grimmett, G.
1
1996
Random walks in random labyrinths. Zbl 0879.60108
Grimmett, G. R.; Menshikov, M. V.; Volkov, S. E.
1
1996
The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105
Grimmett, Geoffrey
45
1995
Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546
Grimmett, Geoffrey
5
1995
The random-cluster model. Zbl 0858.60093
Grimmett, G.
34
1994
Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082
Grimmett, Geoffrey
13
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.
3
1994
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
30
1993
On the asymptotic distribution of large prime factors. Zbl 0839.11039
Donnelly, Peter; Grimmett, Geoffrey
19
1993
Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100
Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H.
16
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.
149
1992
On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007
Falconer, K. J.; Grimmett, G. R.
17
1992
Probability and random processes. 2nd ed. Zbl 0759.60001
Grimmett, Geoffrey R.; Stirzaker, David R.
15
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
38
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.
27
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
92
1990
The supercritical phase of percolation is well behaved. Zbl 0711.60100
Grimmett, G. R.; Marstrand, J. M.
68
1990
Percolation in \(\infty +1\) dimensions. Zbl 0721.60121
Grimmett, 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 0714.00019
2
1990
Percolation. With 76 illustrations. Zbl 0691.60089
Grimmett, Geoffrey
72
1989
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.
11
1989
On the uniqueness of the infinite cluster in the percolation model. Zbl 0649.60104
Gandolfi, A.; Grimmett, G.; Russo, L.
10
1988
Recent progress in percolation. Zbl 0682.60096
Grimmett, G. R.
2
1987
...and 29 more Documents
all top 5

Cited by 2,221 Authors

57 Grimmett, Geoffrey R.
32 Duminil-Copin, Hugo
28 van der Hofstad, Remco W.
23 Peres, Yuval
21 Sidoravicius, Vladas
17 Newman, Charles Michael
16 Häggström, Olle
15 Penrose, Mathew D.
15 van den Berg, Rob
14 Schinazi, Rinaldo B.
13 Chayes, Lincoln
13 Damron, Michael
13 de Lima, Bernardo N. B.
13 Zhang, Yu
12 Camia, Federico
12 Chayes, Jennifer Tour
12 Janson, Svante
12 Li, Zhongyang
12 Meester, Ronald W. J.
12 Trapman, Pieter
11 Cortés López, Juan Carlos
11 Durrett, Richard Timothy
11 Holroyd, Alexander E.
11 Kesten, Harry
11 Kozma, Gady
11 Steif, Jeffrey E.
11 Tassion, Vincent
10 Biskup, Marek
10 Frieze, Alan Michael
10 Manolescu, Ioan
10 Sakai, Akira
10 Schramm, Oded
9 Benjamini, Itai
9 Bollobás, Béla
9 Cerf, Raphaël
9 Doerr, Benjamin
9 Garet, Olivier
9 Heydenreich, Markus
9 Hutchcroft, Tom
9 Panagiotou, Konstantinos D.
9 Slade, Gordon
9 Sly, Allan
9 Sznitman, Alain-Sol
9 Wang, Jun
8 Alexander, Kenneth S.
8 Björnberg, Jakob Erik
8 Blanca, Antonio
8 Kang, Ross J.
8 McDiarmid, Colin J. H.
8 Mossel, Elchanan
8 Sapozhnikov, Artëm
8 Sauerwald, Thomas
8 Valesin, Daniel
7 Aizenman, Michael
7 Aldous, David John
7 Borgs, Christian
7 Coja-Oghlan, Amin
7 Gandolfi, Alberto
7 Garban, Christophe
7 Gheissari, Reza
7 Hammond, Alan
7 Holmes, Mark P.
7 Hongler, Clément
7 Ioffe, Dmitry
7 Lanchier, Nicolas
7 Lubetzky, Eyal
7 Marchand, Régine
7 Mountford, Thomas S.
7 Nachmias, Asaf
7 Nolin, Pierre
7 Pete, Gábor
7 Pittel, Boris G.
7 Raoufi, Aran
7 Sanchis, Rémy
7 Schonmann, Roberto Henrique
7 Stauffer, Alexandre O.
7 Teixeira, Augusto Quadros
7 Vares, Maria Eulalia
7 Velenik, Yvan
6 Ahlberg, Daniel
6 Ball, Frank G.
6 Beffara, Vincent
6 Chen, Lung-Chi
6 den Hollander, Frank
6 Ding, Jian
6 Efthymiou, Charilaos
6 Fountoulakis, Nikolaos
6 Garoni, Timothy M.
6 Goldberg, Leslie Ann
6 Hilário, Marcelo Richard
6 Kahn, Jeff D.
6 Muirhead, Stephen
6 Steel, Michael Anthony
6 Vigoda, Eric
6 Villafuerte, Laura
6 Wu, C. Chris
6 Yao, Changlong
5 Broman, Erik Ivar
5 Cox, J. Theodore
5 Dembin, Barbara
...and 2,121 more Authors
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Cited in 339 Serials

143 The Annals of Probability
130 Journal of Statistical Physics
86 Probability Theory and Related Fields
84 The Annals of Applied Probability
69 Stochastic Processes and their Applications
58 Communications in Mathematical Physics
52 Random Structures & Algorithms
43 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
39 Journal of Applied Probability
26 Combinatorics, Probability and Computing
25 Journal of Mathematical Physics
24 Advances in Applied Probability
23 Physica A
22 Discrete Mathematics
21 Theoretical Computer Science
19 Mathematical Biosciences
19 Electronic Journal of Probability
18 Statistics & Probability Letters
16 Journal of Mathematical Biology
16 Journal of Theoretical Probability
16 ALEA. Latin American Journal of Probability and Mathematical Statistics
16 Journal of Theoretical Biology
15 Theoretical Population Biology
14 Discrete Applied Mathematics
13 Journal of Statistical Mechanics: Theory and Experiment
12 Nuclear Physics. B
12 Bernoulli
11 Mathematical Social Sciences
10 Transactions of the American Mathematical Society
10 Algorithmica
10 Communications in Statistics. Theory and Methods
10 Annals of Mathematics. Second Series
10 Probability Surveys
9 Computers & Mathematics with Applications
9 Information Processing Letters
9 Journal of the American Mathematical Society
8 Communications on Pure and Applied Mathematics
8 Israel Journal of Mathematics
8 The Annals of Statistics
8 Automatica
8 Journal of Combinatorial Theory. Series B
8 SIAM Journal on Discrete Mathematics
8 European Journal of Operational Research
8 The Electronic Journal of Combinatorics
7 Bulletin of Mathematical Biology
7 Advances in Mathematics
7 Applied Mathematics and Computation
7 Journal of Computer and System Sciences
7 Electronic Communications in Probability
7 Journal of the European Mathematical Society (JEMS)
7 Stochastic Models
6 Journal of Mathematical Analysis and Applications
6 Methodology and Computing in Applied Probability
6 Brazilian Journal of Probability and Statistics
6 Computer Science Review
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 Games and Economic Behavior
5 Distributed Computing
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
5 Journal of Physics A: Mathematical and Theoretical
4 The Mathematical Gazette
4 Inventiones Mathematicae
4 Journal of Economic Theory
4 Journal of Multivariate Analysis
4 Memoirs of the American Mathematical Society
4 Advances in Applied Mathematics
4 Statistical Science
4 Annals of Operations Research
4 Bulletin of the American Mathematical Society. New Series
4 International Journal of Theoretical and Applied Finance
4 Probability in the Engineering and Informational Sciences
3 Journal d’Analyse Mathématique
3 Lithuanian Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Journal of Differential Equations
3 Proceedings of the American Mathematical Society
3 SIAM Journal on Computing
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
3 SIAM Journal on Algebraic and Discrete Methods
3 Physica D
3 Graphs and Combinatorics
3 Journal of Economic Dynamics & Control
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 Computational Statistics and Data Analysis
3 Continuum Mechanics and Thermodynamics
3 Journal of Algebraic Combinatorics
3 Potential Analysis
3 Abstract and Applied Analysis
3 Mathematical Physics, Analysis and Geometry
3 Journal of Inequalities and Applications
...and 239 more Serials
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Cited in 59 Fields

1,140 Probability theory and stochastic processes (60-XX)
678 Statistical mechanics, structure of matter (82-XX)
389 Combinatorics (05-XX)
180 Computer science (68-XX)
155 Biology and other natural sciences (92-XX)
115 Statistics (62-XX)
104 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
83 Operations research, mathematical programming (90-XX)
60 Numerical analysis (65-XX)
47 Dynamical systems and ergodic theory (37-XX)
40 Partial differential equations (35-XX)
38 Information and communication theory, circuits (94-XX)
37 Quantum theory (81-XX)
31 Measure and integration (28-XX)
30 Systems theory; control (93-XX)
25 Number theory (11-XX)
21 Ordinary differential equations (34-XX)
17 Group theory and generalizations (20-XX)
14 Mechanics of deformable solids (74-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Operator theory (47-XX)
11 Real functions (26-XX)
10 Convex and discrete geometry (52-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
7 Mathematical logic and foundations (03-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Fluid mechanics (76-XX)
6 General and overarching topics; collections (00-XX)
6 Potential theory (31-XX)
5 History and biography (01-XX)
5 Algebraic topology (55-XX)
4 Functions of a complex variable (30-XX)
4 Special functions (33-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 Difference and functional equations (39-XX)
3 Approximations and expansions (41-XX)
3 Integral equations (45-XX)
3 Functional analysis (46-XX)
3 Differential geometry (53-XX)
3 Manifolds and cell complexes (57-XX)
3 Mechanics of particles and systems (70-XX)
2 Algebraic geometry (14-XX)
2 Associative rings and algebras (16-XX)
2 Nonassociative rings and algebras (17-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
2 Geophysics (86-XX)
2 Mathematics education (97-XX)
1 General algebraic systems (08-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Astronomy and astrophysics (85-XX)

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