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Grimmett, Geoffrey R.

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
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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

Publications by Year

Citations contained in zbMATH Open

134 Publications have been cited 2,859 times in 2,145 Documents Cited by Year
Percolation. 2nd ed. Zbl 0926.60004
Grimmett, Geoffrey
519
1999
Probability and random processes. 3rd ed. Zbl 1015.60002
Grimmett, Geoffrey R.; Stirzaker, David R.
289
2001
The random-cluster model. Zbl 1122.60087
Grimmett, Geoffrey R.
173
2006
Probability and random processes: Problems and solutions. Zbl 0759.60002
Grimmett, G. R.; Stirzaker, D. R.
156
1992
The critical contact process dies out. Zbl 0718.60109
Bezuidenhout, Carol; Grimmett, Geoffrey
100
1990
On colouring random graphs. Zbl 0297.05112
Grimmett, G. R.; McDiarmid, C. J. H.
88
1975
The supercritical phase of percolation is well behaved. Zbl 0711.60100
Grimmett, G. R.; Marstrand, J. M.
88
1990
Percolation. With 76 illustrations. Zbl 0691.60089
Grimmett, Geoffrey
84
1989
The shortest-path problem for graphs with random arc-lengths. Zbl 0608.05047
Frieze, A. M.; Grimmett, G. R.
59
1985
Central limit theorems for associated random variables and the percolation model. Zbl 0536.60094
Cox, J. Theodore; Grimmett, Geoffrey
49
1984
The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105
Grimmett, Geoffrey
47
1995
Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003
Grimmett, Geoffrey
45
2010
The random-cluster model. Zbl 0858.60093
Grimmett, G.
43
1994
First-passage percolation, network flows and electrical resistances. Zbl 0525.60098
Grimmett, Geoffrey; Kesten, Harry
43
1984
Exponential decay for subcritical contact and percolation processes. Zbl 0743.60107
Bezuidenhout, Carol; Grimmett, Geoffrey
42
1991
Probability and random processes. Zbl 0493.60001
Grimmett, Geoffrey; Stirzaker, David
36
1982
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
33
1993
Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability. Zbl 0727.60118
Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M.
28
1991
Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099
Graham, B. T.; Grimmett, G. R.
27
2006
On the asymptotic distribution of large prime factors. Zbl 0839.11039
Donnelly, Peter; Grimmett, Geoffrey
25
1993
The random-cluster model. Zbl 1045.60105
Grimmett, Geoffrey
25
2004
A theorem about random fields. Zbl 0261.60043
Grimmett, G. R.
24
1973
The random-cluster model on the complete graph. Zbl 0846.05075
Bollobás, B.; Grimmett, G.; Janson, S.
23
1996
Directed percolation and random walk. Zbl 1010.60087
Grimmett, Geoffrey; Hiemer, Philipp
22
2002
Percolation in \(\infty +1\) dimensions. Zbl 0721.60121
Grimmett, G. R.; Newman, C. M.
19
1990
On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007
Falconer, K. J.; Grimmett, G. R.
19
1992
Lipschitz percolation. Zbl 1193.60115
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael
19
2010
Probability and random processes. 4th edition. Zbl 1437.60004
Grimmett, Geoffrey R.; Stirzaker, David R.
19
2020
Random labelled trees and their branching networks. Zbl 0455.05028
Grimmett, G. R.
18
1980
Probability and random processes. 2nd ed. Zbl 0759.60001
Grimmett, Geoffrey R.; Stirzaker, David R.
18
1992
Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005
Grimmett, Geoffrey
17
2018
Critical probabilities for site and bond percolation models. Zbl 0935.60097
Grimmett, G. R.; Stacey, A. M.
17
1998
Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100
Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H.
17
1993
Plaquettes, spheres, and entanglement. Zbl 1229.60107
Grimmett, Geoffrey R.; Holroyd, Alexander E.
17
2010
Probability: An introduction. Zbl 0606.60002
Grimmett, Geoffrey; Welsh, Dominic
16
1986
Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263
Grimmett, Geoffrey R.; Manolescu, Ioan
16
2014
Dependent random graphs and spatial epidemics. Zbl 0946.92028
van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B.
15
1998
Negative association in uniform forests and connected graphs. Zbl 1048.60007
Grimmett, G. R.; Winkler, S. N.
15
2004
Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167
Grimmett, Geoffrey R.; Manolescu, Ioan
15
2013
An upper bound for the number of spanning trees of a graph. Zbl 0348.05106
Grimmett, G. R.
14
1977
The correlation length for the high-density phase of Bernoulli perlocation. Zbl 0696.60094
Chayes, J. T.; Chayes, L.; Grimmett, G. R.; Kesten, H.; Schonmann, R. H.
14
1989
Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082
Grimmett, Geoffrey
14
1994
On the number of clusters in the percolation model. Zbl 0338.60034
Grimmett, G. R.
13
1976
Bounds on connective constants of regular graphs. Zbl 1374.05123
Grimmett, Geoffrey R.; Li, Zhongyang
13
2015
Probability. An introduction. 2nd ed. Zbl 1302.60005
Grimmett, Geoffrey; Welsh, Dominic
13
2014
Percolation and disordered systems. Zbl 0884.60089
Grimmett, Geoffrey
13
1997
Locality of connective constants. Zbl 1397.05076
Grimmett, Geoffrey R.; Li, Zhongyang
12
2018
Self-avoiding walks and the Fisher transformation. Zbl 1295.05123
Grimmett, Geoffrey; Li, Zhongyang
12
2013
Random electrical networks on complete graphs. Zbl 0514.60097
Grimmett, Geoffrey; Kesten, Harry
12
1984
European apportionment via the Cambridge compromise. Zbl 1237.91194
Grimmett, Geoffrey R.
12
2012
Geometry of Lipschitz percolation. Zbl 1255.60167
Grimmett, G. R.; Holroyd, A. E.
12
2012
Random even graphs. Zbl 1214.05155
Grimmett, Geoffrey; Janson, Svante
12
2009
The phase transition of the quantum Ising model is sharp. Zbl 1186.82022
Björnberg, J. E.; Grimmett, G. R.
12
2009
Sharp thresholds for the random-cluster and Ising models. Zbl 1223.60081
Graham, Benjamin; Grimmett, Geoffrey
12
2011
Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102
Grimmett, Geoffrey R.; Li, Zhongyang
11
2014
Percolative problems. Zbl 0830.60094
Grimmett, Geoffrey
11
1994
Percolation theory at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and 1665 (1997). Zbl 1260.60007
Grimmett, Geoffrey R.; Kesten, Harry
11
2012
Self-avoiding walks and amenability. Zbl 1376.05068
Grimmett, Geoffrey; Li, Zhongyang
11
2017
On the uniqueness of the infinite cluster in the percolation model. Zbl 0649.60104
Gandolfi, A.; Grimmett, G.; Russo, L.
10
1988
Universality for bond percolation in two dimensions. Zbl 1284.60168
Grimmett, Geoffrey R.; Manolescu, Ioan
10
2013
Connective constants and height functions for Cayley graphs. Zbl 1362.05059
Grimmett, Geoffrey R.; Li, Zhongyang
10
2017
On the connectedness of a random graph. Zbl 0543.60016
Grimmett, G. R.; Keane, M.; Marstrand, J. M.
10
1984
Percolation of finite clusters and infinite surfaces. Zbl 1303.60090
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady
9
2014
On the differentiability of the number of clusters per vertex in the percolation model. Zbl 0497.60010
Grimmett, G. R.
9
1981
Entanglement in the quantum Ising model. Zbl 1144.82036
Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F.
9
2008
Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007
Gielis, Guy; Grimmett, Geoffrey
8
2002
The 1-2 model. Zbl 1390.82013
Grimmett, Geoffrey R.; Li, Zhongyang
7
2017
Maximal solutions of the generalized subadditive inequality. Zbl 0291.62034
Hammersley, J. M.; Grimmett, G. R.
7
1974
Infinite paths in randomly oriented lattices. Zbl 0982.05103
Grimmett, Geoffrey R.
7
2001
Entanglement in percolation. Zbl 1026.60109
Grimmett, Geoffrey R.; Holroyd, Alexander E.
7
2000
Extendable self-avoiding walks. Zbl 1285.05163
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval
7
2014
Decay of correlations in random-cluster models. Zbl 0888.60084
Grimmett, G. R.; Piza, M. S. T.
7
1997
Lattice embeddings in percolation. Zbl 1238.60110
Grimmett, Geoffrey R.; Holroyd, Alexander E.
7
2012
Percolation of arbitrary words in one dimension. Zbl 1202.60155
Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas
7
2010
Self-avoiding walks and connective constants. Zbl 1446.82029
Grimmett, Geoffrey R.; Li, Zhongyang
7
2019
One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003
Grimmett, Geoffrey R.; Stirzaker, David R.
6
2001
Percolation. Zbl 1071.82527
Grimmett, Geoffrey R.
6
2000
Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546
Grimmett, Geoffrey
6
1995
Bond percolation on subsets of the square lattice, and the threshold between one-dimensional and two-dimensional behaviour. Zbl 0508.60082
Grimmett, G. R.
6
1983
Critical sponge dimensions in percolation theory. Zbl 0459.60098
Grimmett, G. R.
5
1981
Random near-regular graphs and the node packing problem. Zbl 0577.05056
Grimmett, G. R.; Pulleyblank, W. R.
5
1985
The critical point of fractal percolation in three and more dimensions. Zbl 0728.60102
Falconer, K. J.; Grimmett, G. R.
5
1991
An exact threshold theorem for random graphs and the node-packing problem. Zbl 0632.05031
Grimmett, G. R.
5
1986
Three theorems in discrete random geometry. Zbl 1245.60093
Grimmett, Geoffrey
5
2011
Three problems for the clairvoyant demon. Zbl 1208.60102
Grimmett, Geoffrey
5
2010
Percolation and minimal spanning trees. Zbl 0963.82020
Bezuidenhout, Carol; Grimmett, Geoffrey; Löffler, Armin
4
1998
The rank polynomials of large random lattices. Zbl 0398.05009
Grimmett, G. R.
4
1978
Statistics of sieves and square-free numbers. Zbl 0728.11046
Grimmett, Geoffrey
4
1991
Correction: On the geometry of random Cantor sets and fractal percolation. Zbl 0786.60014
Falconer, K. J.; Grimmett, G. R.
4
1994
Flow in networks with random capacities. Zbl 0496.60009
Grimmett, G. R.; Welsh, D. J. A.
4
1982
Central limit theorems for percolation models. Zbl 0512.60094
Cox, J. Theodore; Grimmett, Geoffrey
4
1981
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
4
2016
Space-time percolation. Zbl 1173.82362
Grimmett, Geoffrey R.
4
2008
Random graphs with forbidden vertex degrees. Zbl 1209.05224
Grimmett, Geoffrey; Janson, Svante
4
2010
Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092
Grimmett, Geoffrey R.
3
1999
Multidimensional lattices and their partition functions. Zbl 0382.60108
Grimmett, G. R.
3
1978
Dynamic renormalization and continuity of the percolation transition in orthants. Zbl 0745.60102
Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M.
3
1991
Random flows: Network flows and electrical flows through random media. Zbl 0565.90017
Grimmett, G. R.
3
1985
Critical surface of the 1-2 model. Zbl 1407.82020
Grimmett, Geoffrey R.; Li, Zhongyang
3
2018
Cubic graphs and the golden mean. Zbl 1429.05048
Grimmett, Geoffrey R.; Li, Zhongyang
3
2020
Brownian snails with removal: epidemics in diffusing populations. Zbl 1495.60091
Grimmett, Geoffrey R.; Li, Zhongyang
2
2022
Alignment percolation. Zbl 1456.60249
Beaton, Nicholas R.; Grimmett, Geoffrey R.; Holmes, Mark
1
2021
Probability and random processes. 4th edition. Zbl 1437.60004
Grimmett, Geoffrey R.; Stirzaker, David R.
19
2020
Cubic graphs and the golden mean. Zbl 1429.05048
Grimmett, Geoffrey R.; Li, Zhongyang
3
2020
Bounded entanglement entropy in the quantum Ising model. Zbl 1434.82046
Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F.
2
2020
Harry Kesten (1931–2019): a personal and scientific tribute. Zbl 1454.01047
Grimmett, Geoffrey R.; Lawler, Gregory F.
1
2020
One thousand exercises in probability. 3rd revised and updated edition. Zbl 1437.60003
Grimmett, Geoffrey R.; Stirzaker, David R.
1
2020
Weighted self-avoiding walks. Zbl 1447.05184
Grimmett, Geoffrey R.; Li, Zhongyang
1
2020
Self-avoiding walks and connective constants. Zbl 1446.82029
Grimmett, Geoffrey R.; Li, Zhongyang
7
2019
On influence and compromise in two-tier voting systems. Zbl 1426.91095
Grimmett, Geoffrey R.
2
2019
Probability on graphs. Random processes on graphs and lattices. 2nd edition. Zbl 1378.60005
Grimmett, Geoffrey
17
2018
Locality of connective constants. Zbl 1397.05076
Grimmett, Geoffrey R.; Li, Zhongyang
12
2018
Critical surface of the 1-2 model. Zbl 1407.82020
Grimmett, Geoffrey R.; Li, Zhongyang
3
2018
Self-avoiding walks and amenability. Zbl 1376.05068
Grimmett, Geoffrey; Li, Zhongyang
11
2017
Connective constants and height functions for Cayley graphs. Zbl 1362.05059
Grimmett, Geoffrey R.; Li, Zhongyang
10
2017
The 1-2 model. Zbl 1390.82013
Grimmett, Geoffrey R.; Li, Zhongyang
7
2017
Correlation inequalities for the Potts model. Zbl 1357.82012
Grimmett, Geoffrey
4
2016
Critical surface of the hexagonal polygon model. Zbl 1342.82032
Grimmett, Geoffrey R.; Li, Zhongyang
1
2016
Influence in product spaces. Zbl 1426.60004
Grimmett, Geoffrey R.; Janson, Svante; Norris, James R.
1
2016
Bounds on connective constants of regular graphs. Zbl 1374.05123
Grimmett, Geoffrey R.; Li, Zhongyang
13
2015
Bond percolation on isoradial graphs: criticality and universality. Zbl 1296.60263
Grimmett, Geoffrey R.; Manolescu, Ioan
16
2014
Probability. An introduction. 2nd ed. Zbl 1302.60005
Grimmett, Geoffrey; Welsh, Dominic
13
2014
Strict inequalities for connective constants of transitive graphs. Zbl 1305.05102
Grimmett, Geoffrey R.; Li, Zhongyang
11
2014
Percolation of finite clusters and infinite surfaces. Zbl 1303.60090
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Kozma, Gady
9
2014
Extendable self-avoiding walks. Zbl 1285.05163
Grimmett, Geoffrey R.; Holroyd, Alexander E.; Peres, Yuval
7
2014
Criticality, universality, and isoradiality. Zbl 1373.60157
Grimmett, Geoffrey R.
1
2014
Inhomogeneous bond percolation on square, triangular and hexagonal lattices. Zbl 1284.60167
Grimmett, Geoffrey R.; Manolescu, Ioan
15
2013
Self-avoiding walks and the Fisher transformation. Zbl 1295.05123
Grimmett, Geoffrey; Li, Zhongyang
12
2013
Universality for bond percolation in two dimensions. Zbl 1284.60168
Grimmett, Geoffrey R.; Manolescu, Ioan
10
2013
Cluster detection in networks using percolation. Zbl 1457.62177
Arias-Castro, Ery; Grimmett, Geoffrey R.
3
2013
European apportionment via the Cambridge compromise. Zbl 1237.91194
Grimmett, Geoffrey R.
12
2012
Geometry of Lipschitz percolation. Zbl 1255.60167
Grimmett, G. R.; Holroyd, A. E.
12
2012
Percolation theory at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and 1665 (1997). Zbl 1260.60007
Grimmett, Geoffrey R.; Kesten, Harry
11
2012
Lattice embeddings in percolation. Zbl 1238.60110
Grimmett, Geoffrey R.; Holroyd, Alexander E.
7
2012
A power-weighted variant of the EU27 Cambridge compromise. Zbl 1237.91180
Grimmett, G. R.; Oelbermann, K.-F.; Pukelsheim, F.
2
2012
Sharp thresholds for the random-cluster and Ising models. Zbl 1223.60081
Graham, Benjamin; Grimmett, Geoffrey
12
2011
Three theorems in discrete random geometry. Zbl 1245.60093
Grimmett, Geoffrey
5
2011
Probability on graphs. Random processes on graphs and lattices. Zbl 1228.60003
Grimmett, Geoffrey
45
2010
Lipschitz percolation. Zbl 1193.60115
Dirr, Nicolas; Dondl, Patrick W.; Grimmett, Geoffrey R.; Holroyd, Alexander E.; Scheutzow, Michael
19
2010
Plaquettes, spheres, and entanglement. Zbl 1229.60107
Grimmett, Geoffrey R.; Holroyd, Alexander E.
17
2010
Percolation of arbitrary words in one dimension. Zbl 1202.60155
Grimmett, Geoffrey R.; Liggett, Thomas M.; Richthammer, Thomas
7
2010
Three problems for the clairvoyant demon. Zbl 1208.60102
Grimmett, Geoffrey
5
2010
Random graphs with forbidden vertex degrees. Zbl 1209.05224
Grimmett, Geoffrey; Janson, Svante
4
2010
Random even graphs. Zbl 1214.05155
Grimmett, Geoffrey; Janson, Svante
12
2009
The phase transition of the quantum Ising model is sharp. Zbl 1186.82022
Björnberg, J. E.; Grimmett, G. R.
12
2009
John Michael Hammersley, FRS, 1920-2004. Zbl 1179.01041
Grimmett, Geoffrey; Welsh, Dominic
1
2009
Entanglement in the quantum Ising model. Zbl 1144.82036
Grimmett, Geoffrey R.; Osborne, Tobias J.; Scudo, Petra F.
9
2008
Space-time percolation. Zbl 1173.82362
Grimmett, Geoffrey R.
4
2008
Flows and ferromagnets. Zbl 1118.82010
Grimmett, Geoffrey
1
2007
Combinatorics, complexity, and chance. A tribute to Dominic Welsh. Zbl 1108.05004
1
2007
The random-cluster model. Zbl 1122.60087
Grimmett, Geoffrey R.
173
2006
Influence and sharp-threshold theorems for monotonic measures. Zbl 1115.60099
Graham, B. T.; Grimmett, G. R.
27
2006
Random-cluster representation of the Blume-Capel model. Zbl 1110.82023
Graham, B. T.; Grimmett, G. R.
2
2006
Uniqueness and multiplicity of infinite clusters. Zbl 1125.82005
Grimmett, Geoffrey
2
2006
Branching processes, and random-cluster measures on trees. Zbl 1073.60095
Grimmett, Geoffrey; Janson, Swante
1
2005
The random-cluster model. Zbl 1045.60105
Grimmett, Geoffrey
25
2004
Negative association in uniform forests and connected graphs. Zbl 1048.60007
Grimmett, G. R.; Winkler, S. N.
15
2004
Stochastic apportionment. Zbl 1138.60301
Grimmett, Geoffrey
1
2004
On smallest triangles. Zbl 1034.60008
Grimmett, Geoffrey; Janson, Svante
3
2003
Directed percolation and random walk. Zbl 1010.60087
Grimmett, Geoffrey; Hiemer, Philipp
22
2002
Rigidity of the interface in percolation and random-cluster models. Zbl 1025.82007
Gielis, Guy; Grimmett, Geoffrey
8
2002
Probability and random processes. 3rd ed. Zbl 1015.60002
Grimmett, Geoffrey R.; Stirzaker, David R.
289
2001
Infinite paths in randomly oriented lattices. Zbl 0982.05103
Grimmett, Geoffrey R.
7
2001
One thousand exercises in probability. (Companion to probability and random processes). 2nd ed. Zbl 1015.60003
Grimmett, Geoffrey R.; Stirzaker, David R.
6
2001
Entanglement in percolation. Zbl 1026.60109
Grimmett, Geoffrey R.; Holroyd, Alexander E.
7
2000
Percolation. Zbl 1071.82527
Grimmett, Geoffrey R.
6
2000
Percolation. 2nd ed. Zbl 0926.60004
Grimmett, Geoffrey
519
1999
Inequalities and entanglements for percolation and random-cluster models. Zbl 0948.60092
Grimmett, Geoffrey R.
3
1999
Critical probabilities for site and bond percolation models. Zbl 0935.60097
Grimmett, G. R.; Stacey, A. M.
17
1998
Dependent random graphs and spatial epidemics. Zbl 0946.92028
van den Berg, J.; Grimmett, Geoffrey R.; Schinazi, Rinaldo B.
15
1998
Percolation and minimal spanning trees. Zbl 0963.82020
Bezuidenhout, Carol; Grimmett, Geoffrey; Löffler, Armin
4
1998
Percolation and disordered systems. Zbl 0884.60089
Grimmett, Geoffrey
13
1997
Decay of correlations in random-cluster models. Zbl 0888.60084
Grimmett, G. R.; Piza, M. S. T.
7
1997
Large deviations in the random sieve. Zbl 0892.11029
Grimmett, Geoffrey
2
1997
The random-cluster model on the complete graph. Zbl 0846.05075
Bollobás, B.; Grimmett, G.; Janson, S.
23
1996
Random walks in random labyrinths. Zbl 0879.60108
Grimmett, G. R.; Menshikov, M. V.; Volkov, S. E.
2
1996
Probability theory and phase transition. Zbl 0879.60107
Grimmett, G.
1
1996
The stochastic random-cluster process and the uniqueness of random-cluster measures. Zbl 0852.60105
Grimmett, Geoffrey
47
1995
Comparison and disjoint-occurrence inequalities for random-cluster models. Zbl 1080.82546
Grimmett, Geoffrey
6
1995
The random-cluster model. Zbl 0858.60093
Grimmett, G.
43
1994
Potts models and random-cluster processes with many-body interactions. Zbl 0828.60082
Grimmett, Geoffrey
14
1994
Percolative problems. Zbl 0830.60094
Grimmett, Geoffrey
11
1994
Correction: On the geometry of random Cantor sets and fractal percolation. Zbl 0786.60014
Falconer, K. J.; Grimmett, G. R.
4
1994
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
33
1993
On the asymptotic distribution of large prime factors. Zbl 0839.11039
Donnelly, Peter; Grimmett, Geoffrey
25
1993
Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100
Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H.
17
1993
Differential inequalities for Potts and random-cluster processes. Zbl 0864.60091
Grimmett, Geoffrey
2
1993
Probability and random processes: Problems and solutions. Zbl 0759.60002
Grimmett, G. R.; Stirzaker, D. R.
156
1992
On the geometry of random Cantor sets and fractal percolation. Zbl 0752.60007
Falconer, K. J.; Grimmett, G. R.
19
1992
Probability and random processes. 2nd ed. Zbl 0759.60001
Grimmett, Geoffrey R.; Stirzaker, David R.
18
1992
Weak convergence using higher-order cumulants. Zbl 0759.60018
Grimmett, Geoffrey
2
1992
Exponential decay for subcritical contact and percolation processes. Zbl 0743.60107
Bezuidenhout, Carol; Grimmett, Geoffrey
42
1991
Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability. Zbl 0727.60118
Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M.
28
1991
The critical point of fractal percolation in three and more dimensions. Zbl 0728.60102
Falconer, K. J.; Grimmett, G. R.
5
1991
Statistics of sieves and square-free numbers. Zbl 0728.11046
Grimmett, Geoffrey
4
1991
Dynamic renormalization and continuity of the percolation transition in orthants. Zbl 0745.60102
Barsky, David J.; Grimmett, Geoffrey R.; Newman, Charles M.
3
1991
The asymptotics of random sieves. Zbl 0725.11044
Grimmett, G. R.; Hall, R. R.
1
1991
The critical contact process dies out. Zbl 0718.60109
Bezuidenhout, Carol; Grimmett, Geoffrey
100
1990
The supercritical phase of percolation is well behaved. Zbl 0711.60100
Grimmett, G. R.; Marstrand, J. M.
88
1990
Percolation in \(\infty +1\) dimensions. Zbl 0721.60121
Grimmett, G. R.; Newman, C. M.
19
1990
...and 34 more Documents
all top 5

Cited by 2,634 Authors

58 Grimmett, Geoffrey R.
38 Duminil-Copin, Hugo
29 van der Hofstad, Remco W.
24 Peres, Yuval
22 Sidoravicius, Vladas
20 Hutchcroft, Tom
17 de Lima, Bernardo N. B.
17 Häggström, Olle
17 Newman, Charles Michael
16 Schinazi, Rinaldo B.
16 Tassion, Vincent
15 Penrose, Mathew D.
14 Damron, Michael
14 van den Berg, Rob
14 Zhang, Yu
13 Chayes, Lincoln
13 Janson, Svante
13 Slade, Gordon
13 Steif, Jeffrey E.
12 Blanca, Antonio
12 Camia, Federico
12 Chayes, Jennifer Tour
12 Durrett, Richard Timothy
12 Gheissari, Reza
12 Li, Zhongyang
12 Manolescu, Ioan
12 Meester, Ronald W. J.
12 Trapman, Pieter
11 Bollobás, Béla
11 Cerf, Raphaël
11 Cortés López, Juan Carlos
11 Frieze, Alan Michael
11 Holroyd, Alexander E.
11 Kesten, Harry
11 Kozma, Gady
11 Panagiotou, Konstantinos D.
11 Schramm, Oded
11 Valesin, Daniel
10 Biskup, Marek
10 Björnberg, Jakob Erik
10 Heydenreich, Markus
10 Lubetzky, Eyal
10 Sakai, Akira
10 Sanchis, Rémy
10 Sly, Allan
10 Sznitman, Alain-Sol
10 Vigoda, Eric
9 Benjamini, Itai
9 Doerr, Benjamin
9 Garet, Olivier
9 Mossel, Elchanan
9 Muirhead, Stephen
9 Teixeira, Augusto Quadros
9 Vares, Maria Eulalia
9 Wang, Jun
8 Aizenman, Michael
8 Alexander, Kenneth S.
8 Garban, Christophe
8 Hammond, Alan
8 Hilário, Marcelo Richard
8 Kang, Ross J.
8 McDiarmid, Colin J. H.
8 Mountford, Thomas S.
8 Nachmias, Asaf
8 Nolin, Pierre
8 Sapozhnikov, Artëm
8 Sauerwald, Thomas
8 Velenik, Yvan
7 Aldous, David John
7 Borgs, Christian
7 Chen, Lung-Chi
7 Coja-Oghlan, Amin
7 den Hollander, Frank
7 Dondl, Patrick Werner
7 Gandolfi, Alberto
7 Glazman, Alexander
7 Holmes, Mark P.
7 Hongler, Clément
7 Ioffe, Dmitry
7 Lanchier, Nicolas
7 Marchand, Régine
7 Pete, Gábor
7 Pittel, Boris G.
7 Raoufi, Aran
7 Schonmann, Roberto Henrique
7 Severo, Franco
7 Spinka, Yinon
7 Stauffer, Alexandre O.
7 Vanneuville, Hugo
6 Ahlberg, Daniel
6 Ball, Frank G.
6 Beffara, Vincent
6 Caputo, Pietro
6 Dembin, Barbara
6 Ding, Jian
6 Efthymiou, Charilaos
6 Faggionato, Alessandra
6 Fontes, Luiz Renato G.
6 Fountoulakis, Nikolaos
6 Garoni, Timothy M.
...and 2,534 more Authors
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Cited in 377 Serials

152 The Annals of Probability
140 Journal of Statistical Physics
95 Probability Theory and Related Fields
90 The Annals of Applied Probability
81 Stochastic Processes and their Applications
75 Random Structures & Algorithms
71 Communications in Mathematical Physics
52 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
41 Journal of Applied Probability
37 Electronic Journal of Probability
33 Journal of Mathematical Physics
30 Combinatorics, Probability and Computing
29 Physica A
25 Advances in Applied Probability
23 Discrete Mathematics
23 Theoretical Computer Science
21 Journal of Theoretical Probability
21 ALEA. Latin American Journal of Probability and Mathematical Statistics
20 Statistics & Probability Letters
20 Journal of Physics A: Mathematical and Theoretical
19 Mathematical Biosciences
19 Journal of Statistical Mechanics: Theory and Experiment
18 Journal of Theoretical Biology
17 Journal of Mathematical Biology
15 Discrete Applied Mathematics
15 Theoretical Population Biology
14 Nuclear Physics. B
13 Israel Journal of Mathematics
12 Bernoulli
11 Transactions of the American Mathematical Society
11 Mathematical Social Sciences
11 The Electronic Journal of Combinatorics
11 Electronic Communications in Probability
11 Annals of Mathematics. Second Series
11 Probability Surveys
10 Journal of Combinatorial Theory. Series B
10 Algorithmica
10 Journal of the American Mathematical Society
10 Communications in Statistics. Theory and Methods
9 Computers & Mathematics with Applications
9 Communications on Pure and Applied Mathematics
9 Information Processing Letters
9 The Annals of Statistics
8 Bulletin of Mathematical Biology
8 Automatica
8 SIAM Journal on Discrete Mathematics
8 European Journal of Operational Research
8 Journal of the European Mathematical Society (JEMS)
8 Methodology and Computing in Applied Probability
7 Advances in Mathematics
7 Applied Mathematics and Computation
7 Journal of Computer and System Sciences
7 Stochastic Models
6 Journal of Mathematical Analysis and Applications
6 Memoirs of the American Mathematical Society
6 Mathematical Physics, Analysis and Geometry
6 Probability in the Engineering and Informational Sciences
6 Brazilian Journal of Probability and Statistics
6 Computer Science Review
5 Inventiones Mathematicae
5 Journal of Computational and Applied Mathematics
5 Journal of Functional Analysis
5 Journal of Statistical Planning and Inference
5 SIAM Journal on Computing
5 Advances in Applied Mathematics
5 Operations Research Letters
5 Combinatorica
5 Games and Economic Behavior
5 Bulletin of the American Mathematical Society. New Series
5 Distributed Computing
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
4 The Mathematical Gazette
4 Duke Mathematical Journal
4 Journal of Economic Theory
4 Journal of Econometrics
4 Journal of Multivariate Analysis
4 European Journal of Combinatorics
4 Statistical Science
4 Annals of Operations Research
4 Annals of Physics
4 International Journal of Computer Mathematics
4 Journal of Statistical Computation and Simulation
4 Potential Analysis
4 Journal of Inequalities and Applications
4 International Journal of Theoretical and Applied Finance
4 Oberwolfach Reports
4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
4 Probability and Mathematical Physics
3 Archive for Rational Mechanics and Analysis
3 Journal d’Analyse Mathématique
3 Letters in Mathematical Physics
3 Lithuanian Mathematical Journal
3 Physics Letters. A
3 Reviews in Mathematical Physics
3 Journal of Combinatorial Theory. Series A
3 Journal of Differential Equations
3 Journal of Graph Theory
3 Proceedings of the American Mathematical Society
3 Statistica Neerlandica
3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
...and 277 more Serials
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Cited in 59 Fields

1,341 Probability theory and stochastic processes (60-XX)
829 Statistical mechanics, structure of matter (82-XX)
479 Combinatorics (05-XX)
212 Computer science (68-XX)
171 Biology and other natural sciences (92-XX)
145 Statistics (62-XX)
115 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
90 Operations research, mathematical programming (90-XX)
74 Numerical analysis (65-XX)
58 Quantum theory (81-XX)
56 Dynamical systems and ergodic theory (37-XX)
53 Partial differential equations (35-XX)
45 Information and communication theory, circuits (94-XX)
37 Measure and integration (28-XX)
31 Systems theory; control (93-XX)
26 Number theory (11-XX)
24 Ordinary differential equations (34-XX)
21 Group theory and generalizations (20-XX)
17 Operator theory (47-XX)
16 Mechanics of deformable solids (74-XX)
15 Convex and discrete geometry (52-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
13 Real functions (26-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 General and overarching topics; collections (00-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Fluid mechanics (76-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Mathematical logic and foundations (03-XX)
6 History and biography (01-XX)
6 Functions of a complex variable (30-XX)
6 Potential theory (31-XX)
6 Algebraic topology (55-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Relativity and gravitational theory (83-XX)
4 Topological groups, Lie groups (22-XX)
4 Special functions (33-XX)
4 Approximations and expansions (41-XX)
4 Functional analysis (46-XX)
4 Differential geometry (53-XX)
4 Manifolds and cell complexes (57-XX)
4 Mechanics of particles and systems (70-XX)
4 Optics, electromagnetic theory (78-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Geophysics (86-XX)
3 Associative rings and algebras (16-XX)
3 Difference and functional equations (39-XX)
3 Abstract harmonic analysis (43-XX)
3 Integral transforms, operational calculus (44-XX)
3 Integral equations (45-XX)
3 Geometry (51-XX)
3 Mathematics education (97-XX)
2 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 General topology (54-XX)
1 General algebraic systems (08-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Astronomy and astrophysics (85-XX)

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