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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, 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
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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)

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 2,274 times in 1,676 Documents Cited by Year
Percolation. 2nd ed. Zbl 0926.60004
Grimmett, Geoffrey
392
1999
Probability and random processes. 3rd ed. Zbl 1015.60002
Grimmett, Geoffrey R.; Stirzaker, David R.
232
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.
120
2006
The critical contact process dies out. Zbl 0718.60109
Bezuidenhout, Carol; Grimmett, Geoffrey
85
1990
Percolation. With 76 illustrations. Zbl 0691.60089
Grimmett, Geoffrey
78
1989
On colouring random graphs. Zbl 0297.05112
Grimmett, G. R.; McDiarmid, C. J. H.
66
1975
The supercritical phase of percolation is well behaved. Zbl 0711.60100
Grimmett, G. R.; Marstrand, J. M.
62
1990
Probability and random processes. Zbl 0493.60001
Grimmett, Geoffrey; Stirzaker, David
56
1982
Central limit theorems for associated random variables and the percolation model. Zbl 0536.60094
Cox, J. Theodore; Grimmett, Geoffrey
46
1984
The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105
Grimmett, Geoffrey
45
1995
The shortest-path problem for graphs with random arc-lengths. Zbl 0608.05047
Frieze, A. M.; Grimmett, G. R.
45
1985
First-passage percolation, network flows and electrical resistances. Zbl 0525.60098
Grimmett, Geoffrey; Kesten, Harry
40
1984
Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003
Grimmett, Geoffrey
37
2010
Exponential decay for subcritical contact and percolation processes. Zbl 0743.60107
Bezuidenhout, Carol; Grimmett, Geoffrey
36
1991
The random-cluster model. Zbl 0858.60093
Grimmett, G.
33
1994
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
28
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.
25
1991
Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099
Graham, B. T.; Grimmett, G. R.
23
2006
A theorem about random fields. Zbl 0261.60043
Grimmett, G. R.
21
1973
Directed percolation and random walk. Zbl 1010.60087
Grimmett, Geoffrey; Hiemer, Philipp
18
2002
Percolation in \(\infty +1\) dimensions. Zbl 0721.60121
Grimmett, G. R.; Newman, C. M.
18
1990
On the asymptotic distribution of large prime factors. Zbl 0839.11039
Donnelly, Peter; Grimmett, Geoffrey
16
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
The random-cluster model. Zbl 1045.60105
Grimmett, Geoffrey
15
2004
On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007
Falconer, K. J.; Grimmett, G. R.
15
1992
Dependent random graphs and spatial epidemics. Zbl 0946.92028
van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B.
14
1998
The random-cluster model on the complete graph. Zbl 0846.05075
Bollobás, B.; Grimmett, G.; Janson, S.
14
1996
Probability: An introduction. Zbl 0606.60002
Grimmett, Geoffrey; Welsh, Dominic
14
1986
Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082
Grimmett, Geoffrey
13
1994
Probability and random processes. 2nd ed. Zbl 0759.60001
Grimmett, Geoffrey R.; Stirzaker, David R.
13
1992
An upper bound for the number of spanning trees of a graph. Zbl 0348.05106
Grimmett, G. R.
13
1977
Sharp thresholds for the random-cluster and Ising models. Zbl 1223.60081
Graham, Benjamin; Grimmett, Geoffrey
12
2011
Plaquettes, spheres, and entanglement. Zbl 1229.60107
Grimmett, Geoffrey R.; Holroyd, Alexander E.
12
2010
Lipschitz percolation. Zbl 1193.60115
Dirr, 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 1186.82022
Björnberg, J. E.; Grimmett, G. R.
12
2009
Negative association in uniform forests and connected graphs. Zbl 1048.60007
Grimmett, G. R.; Winkler, S. N.
12
2004
Critical probabilities for site and bond percolation models. Zbl 0935.60097
Grimmett, G. R.; Stacey, A. M.
12
1998
Random labelled trees and their branching networks. Zbl 0455.05028
Grimmett, G. R.
12
1980
Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167
Grimmett, 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 1260.60007
Grimmett, Geoffrey R.; Kesten, Harry
11
2012
European apportionment via the Cambridge compromise. Zbl 1237.91194
Grimmett, Geoffrey R.
11
2012
Percolation and disordered systems. Zbl 0884.60089
Grimmett, Geoffrey
11
1997
Percolative problems. Zbl 0830.60094
Grimmett, Geoffrey
11
1994
On the number of clusters in the percolation model. Zbl 0338.60034
Grimmett, G. R.
11
1976
Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102
Grimmett, Geoffrey R.; Li, Zhongyang
10
2014
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.
10
1989
Self-avoiding walks and amenability. Zbl 1376.05068
Grimmett, Geoffrey; Li, Zhongyang
9
2017
Bounds on connective constants of regular graphs. Zbl 1374.05123
Grimmett, Geoffrey R.; Li, Zhongyang
9
2015
Self-avoiding walks and the Fisher transformation. Zbl 1295.05123
Grimmett, Geoffrey; Li, Zhongyang
9
2013
Random electrical networks on complete graphs. Zbl 0514.60097
Grimmett, Geoffrey; Kesten, Harry
9
1984
Connective constants and height functions for Cayley graphs. Zbl 1362.05059
Grimmett, Geoffrey R.; Li, Zhongyang
8
2017
Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263
Grimmett, Geoffrey R.; Manolescu, Ioan
8
2014
Universality for bond percolation in two dimensions. Zbl 1284.60168
Grimmett, Geoffrey R.; Manolescu, Ioan
8
2013
Geometry of Lipschitz percolation. Zbl 1255.60167
Grimmett, G. R.; Holroyd, A. E.
8
2012
Random even graphs. Zbl 1214.05155
Grimmett, Geoffrey; Janson, Svante
8
2009
On the uniqueness of the infinite cluster in the percolation model. Zbl 0649.60104
Gandolfi, A.; Grimmett, G.; Russo, L.
8
1988
On the connectedness of a random graph. Zbl 0543.60016
Grimmett, G. R.; Keane, M.; Marstrand, J. M.
8
1984
Locality of connective constants. Zbl 1397.05076
Grimmett, Geoffrey R.; Li, Zhongyang
7
2018
Percolation of arbitrary words in one dimension. Zbl 1202.60155
Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas
7
2010
Entanglement in the quantum Ising model. Zbl 1144.82036
Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F.
7
2008
Decay of correlations in random-cluster models. Zbl 0888.60084
Grimmett, G. R.; Piza, M. S. T.
7
1997
On the differentiability of the number of clusters per vertex in the percolation model. Zbl 0497.60010
Grimmett, G. R.
7
1981
Extendable self-avoiding walks. Zbl 1285.05163
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval
6
2014
Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007
Gielis, Guy; Grimmett, Geoffrey
6
2002
One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003
Grimmett, Geoffrey R.; Stirzaker, David R.
6
2001
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
Critical sponge dimensions in percolation theory. Zbl 0459.60098
Grimmett, G. R.
6
1981
Maximal solutions of the generalized subadditive inequality. Zbl 0291.62034
Hammersley, J. M.; Grimmett, G. R.
6
1974
Entanglement in percolation. Zbl 1026.60109
Grimmett, Geoffrey R.; Holroyd, Alexander E.
5
2000
Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546
Grimmett, Geoffrey
5
1995
The critical point of fractal percolation in three and more dimensions. Zbl 0728.60102
Falconer, K. J.; Grimmett, G. R.
5
1991
The 1-2 model. Zbl 1390.82013
Grimmett, Geoffrey R.; Li, Zhongyang
4
2017
Percolation of finite clusters and infinite surfaces. Zbl 1303.60090
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady
4
2014
Lattice embeddings in percolation. Zbl 1238.60110
Grimmett, Geoffrey R.; Holroyd, Alexander E.
4
2012
Space-time percolation. Zbl 1173.82362
Grimmett, Geoffrey R.
4
2008
Percolation. Zbl 1071.82527
Grimmett, Geoffrey R.
4
2000
Percolation and minimal spanning trees. Zbl 0963.82020
Bezuidenhout, Carol; Grimmett, Geoffrey; Löffler, Armin
4
1998
Statistics of sieves and square-free numbers. Zbl 0728.11046
Grimmett, Geoffrey
4
1991
An exact threshold theorem for random graphs and the node-packing problem. Zbl 0632.05031
Grimmett, G. R.
4
1986
Random near-regular graphs and the node packing problem. Zbl 0577.05056
Grimmett, G. R.; Pulleyblank, W. R.
4
1985
Flow in networks with random capacities. Zbl 0496.60009
Grimmett, G. R.; Welsh, D. J. A.
4
1982
The rank polynomials of large random lattices. Zbl 0398.05009
Grimmett, G. R.
4
1978
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
3
2016
Probability. An introduction. 2nd ed. Zbl 1302.60005
Grimmett, Geoffrey; Welsh, Dominic
3
2014
Cluster detection in networks using percolation. Zbl 1457.62177
Arias-Castro, Ery; Grimmett, Geoffrey R.
3
2013
Three theorems in discrete random geometry. Zbl 1245.60093
Grimmett, Geoffrey
3
2011
Three problems for the clairvoyant demon. Zbl 1208.60102
Grimmett, Geoffrey
3
2010
Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092
Grimmett, Geoffrey R.
3
1999
Correction: On the geometry of random Cantor sets and fractal percolation. Zbl 0786.60014
Falconer, 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 0714.00019
Grimmett, G. R. (ed.); Welsh, D. J. A. (ed.)
3
1990
Random flows: Network flows and electrical flows through random media. Zbl 0565.90017
Grimmett, G. R.
3
1985
Central limit theorems for percolation models. Zbl 0512.60094
Cox, J. Theodore; Grimmett, Geoffrey
3
1981
Cubic graphs and the golden mean. Zbl 1429.05048
Grimmett, Geoffrey R.; Li, Zhongyang
2
2020
On influence and compromise in two-tier voting systems. Zbl 1426.91095
Grimmett, Geoffrey R.
2
2019
Critical surface of the 1-2 model. Zbl 1407.82020
Grimmett, Geoffrey R.; Li, Zhongyang
2
2018
Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005
Grimmett, Geoffrey
2
2018
A power-weighted variant of the EU27 Cambridge compromise. Zbl 1237.91180
Grimmett, G. R.; Oelbermann, K.-F.; Pukelsheim, F.
2
2012
Random graphs with forbidden vertex degrees. Zbl 1209.05224
Grimmett, Geoffrey; Janson, Svante
2
2010
Cubic graphs and the golden mean. Zbl 1429.05048
Grimmett, Geoffrey R.; Li, Zhongyang
2
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
7
2018
Critical surface of the 1-2 model. Zbl 1407.82020
Grimmett, Geoffrey R.; Li, Zhongyang
2
2018
Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005
Grimmett, Geoffrey
2
2018
Self-avoiding walks and amenability. Zbl 1376.05068
Grimmett, Geoffrey; Li, Zhongyang
9
2017
Connective constants and height functions for Cayley graphs. Zbl 1362.05059
Grimmett, Geoffrey R.; Li, Zhongyang
8
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
9
2015
Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102
Grimmett, Geoffrey R.; Li, Zhongyang
10
2014
Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263
Grimmett, Geoffrey R.; Manolescu, Ioan
8
2014
Extendable self-avoiding walks. Zbl 1285.05163
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval
6
2014
Percolation of finite clusters and infinite surfaces. Zbl 1303.60090
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady
4
2014
Probability. An introduction. 2nd ed. Zbl 1302.60005
Grimmett, Geoffrey; Welsh, Dominic
3
2014
Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167
Grimmett, Geoffrey R.; Manolescu, Ioan
11
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.
8
2012
Lattice embeddings in percolation. Zbl 1238.60110
Grimmett, Geoffrey R.; Holroyd, Alexander E.
4
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
3
2011
Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003
Grimmett, Geoffrey
37
2010
Plaquettes, spheres, and entanglement. Zbl 1229.60107
Grimmett, Geoffrey R.; Holroyd, Alexander E.
12
2010
Lipschitz percolation. Zbl 1193.60115
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael
12
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
8
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
Grimmett, Geoffrey (ed.); McDiarmid, Colin (ed.)
1
2007
The random-cluster model. Zbl 1122.60087
Grimmett, Geoffrey R.
120
2006
Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099
Graham, B. T.; Grimmett, G. R.
23
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
15
2004
Negative association in uniform forests and connected graphs. Zbl 1048.60007
Grimmett, G. R.; Winkler, S. N.
12
2004
Stochastic apportionment. Zbl 1138.60301
Grimmett, Geoffrey
2
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
18
2002
Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007
Gielis, Guy; Grimmett, Geoffrey
6
2002
Probability and random processes. 3rd ed. Zbl 1015.60002
Grimmett, Geoffrey R.; Stirzaker, David R.
232
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
Infinite paths in randomly oriented lattices. Zbl 0982.05103
Grimmett, Geoffrey R.
6
2001
Entanglement in percolation. Zbl 1026.60109
Grimmett, Geoffrey R.; Holroyd, Alexander E.
5
2000
Percolation. Zbl 1071.82527
Grimmett, Geoffrey R.
4
2000
Percolation. 2nd ed. Zbl 0926.60004
Grimmett, Geoffrey
392
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.
12
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
11
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.
14
1996
Random walks in random labyrinths. Zbl 0879.60108
Grimmett, G. R.; Menshikov, M. V.; Volkov, S. E.
1
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
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.
33
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.
28
1993
On the asymptotic distribution of large prime factors. Zbl 0839.11039
Donnelly, Peter; Grimmett, Geoffrey
16
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.
15
1992
Probability and random processes. 2nd ed. Zbl 0759.60001
Grimmett, Geoffrey R.; Stirzaker, David R.
13
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
36
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.
25
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.
2
1991
The critical contact process dies out. Zbl 0718.60109
Bezuidenhout, Carol; Grimmett, Geoffrey
85
1990
The supercritical phase of percolation is well behaved. Zbl 0711.60100
Grimmett, G. R.; Marstrand, J. M.
62
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
Grimmett, G. R. (ed.); Welsh, D. J. A. (ed.)
3
1990
Percolation. With 76 illustrations. Zbl 0691.60089
Grimmett, Geoffrey
78
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.
10
1989
On the uniqueness of the infinite cluster in the percolation model. Zbl 0649.60104
Gandolfi, A.; Grimmett, G.; Russo, L.
8
1988
Recent progress in percolation. Zbl 0682.60096
Grimmett, G. R.
2
1987
Probability: An introduction. Zbl 0606.60002
Grimmett, Geoffrey; Welsh, Dominic
14
1986
An exact threshold theorem for random graphs and the node-packing problem. Zbl 0632.05031
Grimmett, G. R.
4
1986
The shortest-path problem for graphs with random arc-lengths. Zbl 0608.05047
Frieze, A. M.; Grimmett, G. R.
45
1985
Random near-regular graphs and the node packing problem. Zbl 0577.05056
Grimmett, G. R.; Pulleyblank, W. R.
4
1985
Random flows: Network flows and electrical flows through random media. Zbl 0565.90017
Grimmett, G. R.
3
1985
Large deviations in subadditive processes and first-passage percolation. Zbl 0596.60026
Grimmett, Geoffrey
2
1985
...and 23 more Documents
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
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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)

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