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## Kesten, Harry

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 Author ID: kesten.harry Published as: Kesten, H.; Kesten, Harry Homepage: http://math.cornell.edu/harry-kesten External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
 Documents Indexed: 191 Publications since 1957, including 8 Books Biographic References: 4 Publications
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#### Co-Authors

 91 single-authored 13 Sidoravicius, Vladas 10 Maller, Ross Arthur 8 Spitzer, Frank L. 6 Grimmett, Geoffrey R. 6 Zhang, Yu 5 Benjamini, Itai 5 Durrett, Richard Timothy 4 Newman, Charles Michael 4 Schonmann, Roberto Henrique 4 Stigum, Bernt Petter 4 van den Berg, Rob 3 Chayes, Jennifer Tour 3 Cohen, Joel E. 3 Gandolfi, Alberto 3 Papanicolaou, George C. 2 Aizenman, Michael 2 Borgs, Christian 2 Cox, J. Theodore 2 Ferrari, Pablo Augusto 2 Hamana, Yuji 2 Lawler, Gregory Francis 2 Martinez Aguilera, Servet 2 Ogura, Yukio 2 Peres, Yuval 2 Spencer, Joel H. 2 Su, Zhonggen 1 Bendler, John T. 1 Bezuidenhout, C. E. 1 Bourgain, Jean 1 Bricmont, Jean 1 Chayes, Lincoln 1 Ciesielski, Zbigniew 1 de Lima, Bernardo N. B. 1 Dembo, Amir 1 den Hollander, Frank 1 Dishon, Menachem 1 Duminil-Copin, Hugo 1 Erickson, K. Bruce 1 Foxall, Eric 1 Furstenberg, Hillel 1 Getoor, Ronald Kay 1 Griffin, Philip S. 1 Gurel-Gurevich, Ori 1 Izkovsky, Roey 1 Járai, Antal A. 1 Junge, Matthew 1 Kac, Mark 1 Kawazu, Kiyoshi 1 Kozlov, Mykyta V. 1 Lebowitz, Joel Louis 1 Lee, Sungchul 1 Limic, Vlada 1 Morse, Norman 1 Nazarov, Fedor L. 1 Ney, Peter E. 1 O’Brien, George L. 1 Ornstein, Donald Samuel 1 Picco, Pierre 1 Pittel, Boris G. 1 Ramírez, Alejandro F. 1 Reshetikhin, Nikolai Yu. 1 Runnenburg, J. Th. 1 Schramm, Oded 1 Sós, Vera Turán 1 Thompson, Colin J. 1 Vares, Maria Eulalia 1 Vershik, Anatoliĭ Moiseevich 1 Waymire, Edward C. 1 Weiss, George-Herbert 1 Yu, Zhang
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#### Serials

 21 The Annals of Probability 8 Communications in Mathematical Physics 8 Probability Theory and Related Fields 7 Advances in Applied Probability 7 Annals of Mathematical Statistics 6 Journal d’Analyse Mathématique 6 The Annals of Applied Probability 5 Journal of Statistical Physics 4 Acta Arithmetica 4 Illinois Journal of Mathematics 4 Transactions of the American Mathematical Society 4 Journal of Theoretical Probability 4 Electronic Journal of Probability 4 Bulletin of the American Mathematical Society 3 Journal of Mathematical Physics 3 Journal of Applied Probability 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Electronic Communications in Probability 3 Annals of Mathematics. Second Series 2 Israel Journal of Mathematics 2 Acta Mathematica 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Mathematica Scandinavica 2 Proceedings of the American Mathematical Society 2 Random Structures & Algorithms 2 Stochastic Processes and their Applications 2 Notices of the American Mathematical Society 2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Reviews in Mathematical Physics 1 Indiana University Mathematics Journal 1 Information and Control 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Multivariate Analysis 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Studia Scientiarum Mathematicarum Hungarica 1 Theoretical Population Biology 1 Nieuw Archief voor Wiskunde. Derde Serie 1 Indagationes Mathematicae. New Series 1 Brazilian Journal of Probability and Statistics 1 Journal of Mathematics and Mechanics 1 Contemporary Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Progress in Probability 1 Progress in Probability and Statistics
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#### Fields

 150 Probability theory and stochastic processes (60-XX) 40 Statistical mechanics, structure of matter (82-XX) 10 Biology and other natural sciences (92-XX) 9 Statistics (62-XX) 5 Combinatorics (05-XX) 4 History and biography (01-XX) 3 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

175 Publications have been cited 4,059 times in 3,058 Documents Cited by Year
Products of random matrices. Zbl 0137.35501
Furstenberg, H.; Kesten, H.
1960
Random difference equations and renewal theory for products of random matrices. Zbl 0291.60029
Kesten, Harry
1973
Symmetric random walks on groups. Zbl 0092.33503
Kesten, Harry
1959
Percolation theory for mathematicians. Zbl 0522.60097
Kesten, Harry
1982
A limit law for random walk in a random environment. Zbl 0388.60069
Kesten, H.; Kozlov, M. V.; Spitzer, F.
1975
The critical probability of bond percolation on the square lattice equals 1/2. Zbl 0441.60010
Kesten, Harry
1980
Subdiffusive behavior of random walk on a random cluster. Zbl 0632.60106
Kesten, H.
1986
A limit theorem related to a new class of self similar processes. Zbl 0396.60037
Kesten, H.; Spitzer, F.
1979
Inequalities with applications to percolation and reliability. Zbl 0571.60019
van den Berg, J.; Kesten, H.
1985
Full Banach mean values on countable groups. Zbl 0092.26704
Kesten, Harry
1959
A limit theorem for multidimensional Galton-Watson processes. Zbl 0203.17401
Kesten, H.; Stigum, B. P.
1966
Aspects of first passage percolation. Zbl 0602.60098
Kesten, Harry
1986
Scaling relations for 2D-percolation. Zbl 0616.60099
Kesten, Harry
1987
On the speed of convergence in first-passage percolation. Zbl 0783.60103
Kesten, Harry
1993
On a conjecture of Erdős and Szüsz related to uniform distribution mod 1. Zbl 0144.28902
Kesten, H.
1966
An iterated logarithm law for local time. Zbl 0132.12701
Kesten, H.
1965
Additional limit theorems for indecomposable multidimensional Galton- Watson processes. Zbl 0203.17402
Kesten, H.; Stigum, B. P.
1966
Quadratic transformations: A model for population growth. I. Zbl 0328.92011
Kesten, Harry
1970
Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. Zbl 0642.60102
Aizenman, M.; Kesten, H.; Newman, C. M.
1987
Renewal theory for functionals of a Markov chain with general state space. Zbl 0303.60090
Kesten, Harry
1974
Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061
Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P.
1995
On the number of self-avoiding walks. Zbl 0122.36502
Kesten, H.
1963
A limit theorem for turbulent diffusion. Zbl 0399.60049
Kesten, H.; Papanicolaou, G. C.
1979
First-passage percolation, network flows and electrical resistances. Zbl 0525.60098
Grimmett, Geoffrey; Kesten, Harry
1984
Accelerated stochastic approximation. Zbl 0087.13404
Kesten, Harry
1958
The limit distribution of Sinai’s random walk in random environment. Zbl 0666.60065
Kesten, Harry
1986
The spread of a rumor or infection in a moving population. Zbl 1111.60074
2005
The central limit theorem for weighted minimal spanning trees on random points. Zbl 0862.60008
Kesten, Harry; Lee, Sungchul
1996
Continuity of local times for Markov processes. Zbl 0293.60069
Getoor, R. K.; Kesten, H.
1972
A convolution equation and hitting probabilities of single points for processes with stationary independent increments. Zbl 0201.19002
Kesten, H.
1969
Limit theorems for decomposable multi-dimensional Galton-Watson processes. Zbl 0203.17501
Kesten, H.; Stigum, B. P.
1967
Hitting probabilities of random walks on $${\mathbb{Z}}^ d$$. Zbl 0626.60067
Kesten, Harry
1987
The incipient infinite cluster in two-dimensional percolation. Zbl 0584.60098
Kesten, Harry
1986
The Galton-Watson process with mean one and finite variance. Zbl 0158.35202
Kesten, H.; Ney, P.; Spitzer, F.
1966
Convergence in distribution of products of random matrices. Zbl 0535.60016
Kesten, Harry; Spitzer, Frank
1984
The 1971 Rietz lecture. Sums of independent random variables - without moment conditions. Zbl 0267.60053
Kesten, Harry
1972
Branching Brownian motion with absorption. Zbl 0383.60077
Kesten, Harry
1978
On the number of self-avoiding walks. II. Zbl 0161.37402
Kesten, H.
1964
The limit points of a normalized random walk. Zbl 0233.60062
Kesten, Harry
1970
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
1993
The birth of the infinite cluster: Finite-size scaling in percolation. Zbl 1038.82035
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
2001
Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006
Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded
2004
A property of the multinomial distribution. Zbl 0218.62017
Kesten, H.; Morse, N.
1959
Greedy lattice animals. I: Upper bounds. Zbl 0818.60039
Cox, J. Theodore; Gandolfi, Alberto; Griffin, Philip S.; Kesten, Harry
1993
A limit theorem for stochastic acceleration. Zbl 0454.60007
Kesten, H.; Papanicolaou, G. C.
1980
Hitting probabilities of single points for processes with stationary independent increments. Zbl 0186.50202
Kesten, H.
1969
Surfaces with minimal random weights and maximal flows: a higher dimensional version of first-passage percolation. Zbl 0591.60096
Kesten, Harry
1987
Distinguishing sceneries by observing the scenery along a random walk path. Zbl 0868.60059
Benjamini, Itai; Kesten, Harry
1996
$$R$$-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata. Zbl 0855.60061
Ferrari, P. A.; Kesten, H.; Martínez, S.
1996
Two renewal theorems for general random walks tending to infinity. Zbl 0855.60080
Kesten, Harry; Maller, R. A.
1996
The probability of a large cluster in supercritical Bernoulli perlocation. Zbl 0705.60092
Kesten, Harry; Zhang, Yu
1990
Behavior in large dimensions of the Potts and Heisenberg models. Zbl 0717.60111
Kesten, H.; Schonmann, R. H.
1989
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
2002
A ratio limit theorem for (sub) Markov chains on $$\{ 1,2,\cdots \}$$ with bounded jumps. Zbl 0829.60059
Kesten, Harry
1995
Greedy lattice animals. II: Linear growth. Zbl 0824.60100
Gandolfi, Alberto; Kesten, Harry
1994
Percolation theory and first-passage percolation. Zbl 0629.60103
Kesten, Harry
1987
A shape theorem for the spread of an infection. Zbl 1202.92077
2008
Quadratic transformations: A model for population growth. II. Zbl 0328.92012
Kesten, Harry
1970
Priority in waiting line problems. I, II. Zbl 0085.34801
Kesten, H.; Runnenburg, J. Th.
1957
Almost all words are seen in critical site percolation on the triangular lattice. Zbl 0908.60082
Kesten, H.; Sidoravicius, V.; Zhang, Y.
1998
Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100
Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H.
1993
On birth and death processes in symmetric random environment. Zbl 0587.60088
Kawazu, Kiyoshi; Kesten, Harry
1984
Analyticity properties and power law estimates of functions in percolation theory. Zbl 0512.60095
Kesten, Harry
1981
On the continuity of the time constant of first-passage percolation. Zbl 0474.60085
Cox, J. Theodore; Kesten, Harry
1981
Sums of stationary sequences cannot grow slower than linearly. Zbl 0299.28014
Kesten, Harry
1975
Strict inequalities for some critical exponents in two-dimensional percolation. Zbl 0683.60081
Kesten, Harry; Yu, Zhang
1987
Some nonlinear stochastic growth models. Zbl 0307.92012
Kesten, Harry
1971
A sharper form of the Doeblin-Lévy-Kolmogorov-Rogozin inequality for concentration functions. Zbl 0218.60035
Kesten, H.
1969
Random walk on countably infinite Abelian groups. Zbl 0146.38301
Kesten, H.; Spitzer, F.
1965
Ratio theorems for random walks. I. Zbl 0121.35201
Kesten, H.; Spitzer, F.
1963
Uniform distribution mod 1. Zbl 0101.03803
Kesten, Harry
1960
A phase transition in a model for the spread of an infection. Zbl 1101.92040
2006
Branching random walk with catalysts. Zbl 1064.60196
2003
A large-deviation result for the range of random walk and for the Wiener sausage. Zbl 1015.60092
Hamana, Yuji; Kesten, Harry
2001
Infinite limits and infinite limit points of random walks and trimmed sums. Zbl 0816.60067
Kesten, Harry; Maller, R. A.
1994
Existence and uniqueness of countable one-dimensional Markov random fields. Zbl 0367.60080
Kesten, Harry
1976
Examples of mixing sequences. Zbl 0337.60035
Kesten, H.; O’Brien, G. L.
1976
First-passage percolation. Zbl 1041.60077
Kesten, Harry
2003
Uniform boundedness of critical crossing probabilities implies hyperscaling. Zbl 0940.60089
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
1999
A central limit theorem for “critical” first-passage percolation in two dimensions. Zbl 0868.60077
Kesten, Harry; Zhang, Yu
1997
Detecting a single defect in a scenery by observing the scenery along a random walk path. Zbl 0859.60066
Kesten, Harry
1996
Inequalities for the time constant in first-passage percolation. Zbl 0771.60092
van den Berg, J.; Kesten, H.
1993
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
2012
Distinguishing and reconstructing sceneries from observations along random walk paths. Zbl 0908.60069
Kesten, Harry
1998
Branching random walks with acritical branching part. Zbl 0857.60087
Kesten, Harry
1995
On weighted heights of random trees. Zbl 0718.60099
Durrett, Rick; Kesten, Harry; Waymire, Ed
1991
Asymptotics in high dimensions for percolation. Zbl 0725.60112
Kesten, Harry
1990
Random matrices and their applications. Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984 (Bowdoin College, Brunswick, Maine), with support from the National Science Foundation. Zbl 0581.00014
Cohen, Joel E. (ed.); Kesten, Harry (ed.); Newman, Charles M. (ed.)
1986
Ratio theorems for random walks. II. Zbl 0121.35202
Kesten, H.
1963
Asymptotic density in a coalescing random walk model. Zbl 1044.60098
van den Berg, J.; Kesten, Harry
2000
Ratios of trimmed sums and order statistics. Zbl 0764.60034
Kesten, Harry; Maller, R. A.
1992
On the time constant and path length of first-passage percolation. Zbl 0436.60077
Kesten, Harry
1980
The Martin boundary of recurrent random walks on countable groups. Zbl 0234.60091
Kesten, H.
1967
The discrepancy of random sequences $$\{kx\}$$. Zbl 0135.11001
Kesten, H.
1964
Occupation times for Markov and semi-Markov chains. Zbl 0122.36602
Kesten, H.
1962
Percolation of arbitrary words in $$\{0, 1\}^ \mathbb{N}$$. Zbl 0832.60095
Benjamini, Itai; Kesten, Harry
1995
Convergence in distribution of lightly trimmed and untrimmed sums are equivalent. Zbl 0787.60026
Kesten, Harry
1993
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.
1989
Random electrical networks on complete graphs. Zbl 0514.60097
Grimmett, Geoffrey; Kesten, Harry
1984
A renewal theorem for random walk in a random environment. Zbl 0361.60030
Kesten, Harry
1977
Site recurrence for coalescing random walk. Zbl 1345.60110
Benjamini, Itai; Foxall, Eric; Gurel-Gurevich, Ori; Junge, Matthew; Kesten, Harry
2016
Random walk in a high density dynamic random environment. Zbl 1294.60122
den Hollander, Frank; Kesten, Harry; Sidoravicius, Vladas
2014
On the compatibility of binary sequences. Zbl 1334.60211
Kesten, Harry; de Lima, Bernardo N. B.; Sidoravicius, Vladas; Vares, Maria Eulália
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
2012
Asymptotic shape and propagation of fronts for growth models in dynamic random environment. Zbl 1251.60076
Kesten, Harry; Ramírez, Alejandro F.; Sidoravicius, Vladas
2012
The work of Stanislav Smirnov. Zbl 1234.60026
Kesten, Harry
2011
A problem in last-passage percolation. Zbl 1206.60091
2010
A shape theorem for the spread of an infection. Zbl 1202.92077
2008
A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains. Zbl 1154.60075
2008
Positive recurrence of a one-dimensional variant of diffusion limited aggregation. Zbl 1173.82361
2008
On the range of the simple random walk bridge on groups. Zbl 1130.60089
Benjamini, Itai; Izkovsky, Roey; Kesten, Harry
2007
A phase transition in a model for the spread of an infection. Zbl 1101.92040
2006
What is .. percolation? Zbl 1090.82504
Kesten, Harry
2006
The spread of a rumor or infection in a moving population. Zbl 1111.60074
2005
Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006
Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded
2004
A bound for the distribution of the hitting time of arbitrary sets by random walk. Zbl 1061.60045
Járai, Antal A.; Kesten, Harry
2004
Probability on discrete structures. Zbl 1025.60001
Kesten, Harry (ed.)
2004
Branching random walk with catalysts. Zbl 1064.60196
2003
First-passage percolation. Zbl 1041.60077
Kesten, Harry
2003
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
2002
Randomly coalescing random walk in dimension $$\geq 3$$. Zbl 1017.60056
van den Berg, J.; Kesten, Harry
2002
Large deviations for the range of an integer valued random walk. Zbl 1009.60084
Hamana, Yuji; Kesten, Harry
2002
Some highlights of percolation. Zbl 1042.60066
Kesten, Harry
2002
The birth of the infinite cluster: Finite-size scaling in percolation. Zbl 1038.82035
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
2001
A large-deviation result for the range of random walk and for the Wiener sausage. Zbl 1015.60092
Hamana, Yuji; Kesten, Harry
2001
Percolation of arbitrary words on the close-packed graph of $$\mathbb{Z}^2$$. Zbl 0977.60098
Kesten, H.; Sidoravicius, V.; Zhang, Y.
2001
Greedy lattice animals: Negative values and unconstrained maxima. Zbl 1016.60048
Dembo, Amir; Gandolfi, Alberto; Kesten, Harry
2001
Asymptotic density in a coalescing random walk model. Zbl 1044.60098
van den Berg, J.; Kesten, Harry
2000
Asymptotic behavior of the critical probability for $$\rho$$-percolation in high dimensions. Zbl 0961.60093
Kesten, Harry; Su, Zhonggen
2000
Some remarks on AB-percolation in high dimensions. Zbl 1083.82517
Kesten, Harry; Su, Zhonggen
2000
Uniform boundedness of critical crossing probabilities implies hyperscaling. Zbl 0940.60089
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
1999
Stability and other limit laws for exit times of random walks from a strip or a halfplane. Zbl 0940.60064
Kesten, Harry; Maller, R. A.
1999
Almost all words are seen in critical site percolation on the triangular lattice. Zbl 0908.60082
Kesten, H.; Sidoravicius, V.; Zhang, Y.
1998
Distinguishing and reconstructing sceneries from observations along random walk paths. Zbl 0908.60069
Kesten, Harry
1998
Random walks crossing power law boundaries. Zbl 0916.60041
Kesten, H.; Maller, R. A.
1998
Random walks crossing high level curved boundaries. Zbl 0919.60070
Kesten, Harry; Maller, R. A.
1998
A central limit theorem for “critical” first-passage percolation in two dimensions. Zbl 0868.60077
Kesten, Harry; Zhang, Yu
1997
Divergence of a random walk through deterministic and random subsequences. Zbl 0884.60067
Kesten, Harry; Maller, Ross A.
1997
A universal form of the Chung-type law of the iterated logarithm. Zbl 0903.60053
Kesten, Harry
1997
The central limit theorem for weighted minimal spanning trees on random points. Zbl 0862.60008
Kesten, Harry; Lee, Sungchul
1996
Distinguishing sceneries by observing the scenery along a random walk path. Zbl 0868.60059
Benjamini, Itai; Kesten, Harry
1996
$$R$$-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata. Zbl 0855.60061
Ferrari, P. A.; Kesten, H.; Martínez, S.
1996
Two renewal theorems for general random walks tending to infinity. Zbl 0855.60080
Kesten, Harry; Maller, R. A.
1996
Detecting a single defect in a scenery by observing the scenery along a random walk path. Zbl 0859.60066
Kesten, Harry
1996
A local limit theorem for the number of nodes, the height, and the number of final leaves in a critical branching process tree. Zbl 0856.60030
Kesten, Harry; Pittel, Boris
1996
On the non-convexity of the time constant in first-passage percolation. Zbl 0866.60087
Kesten, Harry
1996
Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061
Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P.
1995
A ratio limit theorem for (sub) Markov chains on $$\{ 1,2,\cdots \}$$ with bounded jumps. Zbl 0829.60059
Kesten, Harry
1995
Branching random walks with acritical branching part. Zbl 0857.60087
Kesten, Harry
1995
Percolation of arbitrary words in $$\{0, 1\}^ \mathbb{N}$$. Zbl 0832.60095
Benjamini, Itai; Kesten, Harry
1995
On some growth models with a small parameter. Zbl 0820.60084
Kesten, Harry; Schonmann, Roberto H.
1995
The effect of trimming on the strong law of large numbers. Zbl 0835.60022
Kesten, Harry; Maller, R. A.
1995
Greedy lattice animals. II: Linear growth. Zbl 0824.60100
Gandolfi, Alberto; Kesten, Harry
1994
Infinite limits and infinite limit points of random walks and trimmed sums. Zbl 0816.60067
Kesten, Harry; Maller, R. A.
1994
A limit theorem for weighted branching process trees. Zbl 0820.60067
Kesten, Harry
1994
On the speed of convergence in first-passage percolation. Zbl 0783.60103
Kesten, Harry
1993
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
1993
Greedy lattice animals. I: Upper bounds. Zbl 0818.60039
Cox, J. Theodore; Gandolfi, Alberto; Griffin, Philip S.; Kesten, Harry
1993
Strict inequality for critical values of Potts models and random-cluster processes. Zbl 0783.60100
Bezuidenhout, C. E.; Grimmett, G. R.; Kesten, H.
1993
Inequalities for the time constant in first-passage percolation. Zbl 0771.60092
van den Berg, J.; Kesten, H.
1993
Convergence in distribution of lightly trimmed and untrimmed sums are equivalent. Zbl 0787.60026
Kesten, Harry
1993
The tortuosity of occupied crossings of a box in critical percolation. Zbl 0943.82542
Kesten, Harry; Zhang, Yu
1993
Frank Spitzer’s work on random walk and Brownian motion. Zbl 0779.60060
Kesten, Harry
1993
Ratios of trimmed sums and order statistics. Zbl 0764.60034
Kesten, Harry; Maller, R. A.
1992
A necessary condition for making money from fair games. Zbl 0758.60067
Kesten, Harry; Lawler, Gregory F.
1992
An absorption problem for several Brownian motions. Zbl 0765.60081
Kesten, Harry
1992
Connectivity of certain graphs on halfspaces, quarter spaces, . Zbl 0772.05089
Kesten, Harry
1992
On weighted heights of random trees. Zbl 0718.60099
Durrett, Rick; Kesten, Harry; Waymire, Ed
1991
Relations between solutions to a discrete and continuous Dirichlet problem. Zbl 0737.60060
Kesten, Harry
1991
Making money from fair games. Zbl 0746.60044
Durrett, R.; Kesten, H.; Lawler, G.
1991
Some caricatures of multiple contact diffusion-limited aggregation and the $$\eta$$-model. Zbl 0746.60073
Kesten, Harry
1991
Random walks, Brownian motion, and interacting particle systems. A Festschrift in honor of Frank Spitzer. Zbl 0733.00027
Durrett, Rick (ed.); Kesten, Harry (ed.)
1991
Asymptotics in high dimensions for the Fortuin-Kasteleyn random cluster model. Zbl 0807.60087
Kesten, Harry
1991
The probability of a large cluster in supercritical Bernoulli perlocation. Zbl 0705.60092
Kesten, Harry; Zhang, Yu
1990
Asymptotics in high dimensions for percolation. Zbl 0725.60112
Kesten, Harry
1990
The critical parameter for connectedness of some random graphs. Zbl 0745.05045
Durrett, R.; Kesten, H.
1990
Behavior in large dimensions of the Potts and Heisenberg models. Zbl 0717.60111
Kesten, H.; Schonmann, R. H.
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.
1989
Supercritical branching processes with countably many types and the size of random Cantor sets. Zbl 0694.60077
Kesten, Harry
1989
A note on the Ising model in high dimensions. Zbl 0664.60109
Bricmont, J.; Kesten, H.; Lebowitz, J. L.; Schonmann, R. H.
1989
Scaling relations for 2D-percolation. Zbl 0616.60099
Kesten, Harry
1987
Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. Zbl 0642.60102
Aizenman, M.; Kesten, H.; Newman, C. M.
1987
Hitting probabilities of random walks on $${\mathbb{Z}}^ d$$. Zbl 0626.60067
Kesten, Harry
1987
Surfaces with minimal random weights and maximal flows: a higher dimensional version of first-passage percolation. Zbl 0591.60096
Kesten, Harry
1987
Percolation theory and first-passage percolation. Zbl 0629.60103
Kesten, Harry
1987
Strict inequalities for some critical exponents in two-dimensional percolation. Zbl 0683.60081
Kesten, Harry; Yu, Zhang
1987
A scaling relation at criticality for 2D-percolation. Zbl 0631.60105
Kesten, Harry
1987
Random walks on random clusters at criticality. Zbl 0641.60078
Kesten, Harry
1987
Percolation theory and ergodic theory of infinite particle systems. (Proceedings of a Workshop which was an integral part of the 1984-85 IMA Program on Stochastic Differential Equations and their Applications, Minneapolis, Minnesota). Zbl 0615.00015
Kesten, Harry (ed.)
1987
Subdiffusive behavior of random walk on a random cluster. Zbl 0632.60106
Kesten, H.
1986
Aspects of first passage percolation. Zbl 0602.60098
Kesten, Harry
1986
The limit distribution of Sinai’s random walk in random environment. Zbl 0666.60065
Kesten, Harry
1986
The incipient infinite cluster in two-dimensional percolation. Zbl 0584.60098
Kesten, Harry
1986
Random matrices and their applications. Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984 (Bowdoin College, Brunswick, Maine), with support from the National Science Foundation. Zbl 0581.00014
Cohen, Joel E. (ed.); Kesten, Harry (ed.); Newman, Charles M. (ed.)
1986
Oseledec’s multiplicative ergodic theorem: A proof. Zbl 0607.60026
Cohen, Joel E.; Kesten, Harry; Newman, Charles M.
1986
Percolation theory for mathematicians. (Teoriya prosachivaniya dlya matematikov). Transl. from the English by V. F. Kolchin, ed. by A. M. Zubkov. Zbl 0631.60104
Kesten, Harry
1986
Mark Kac 1914–1984. Zbl 0614.60001
Kesten, Harry; Thompson, Colin J.; Cohen, Joel E.
1986
Inequalities with applications to percolation and reliability. Zbl 0571.60019
van den Berg, J.; Kesten, H.
1985
First-passage percolation and a higher dimensional generalization. Zbl 0568.60099
Kesten, Harry
1985
First-passage percolation, network flows and electrical resistances. Zbl 0525.60098
Grimmett, Geoffrey; Kesten, Harry
1984
...and 75 more Documents
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#### Cited by 2,887 Authors

 42 Kesten, Harry 30 Sidoravicius, Vladas 28 Peres, Yuval 26 Maller, Ross Arthur 25 Duminil-Copin, Hugo 23 Grimmett, Geoffrey R. 23 van der Hofstad, Remco W. 22 Benjamini, Itai 21 Durrett, Richard Timothy 19 Buraczewski, Dariusz 18 Csáki, Endre 18 Damron, Michael 18 Mikosch, Thomas 18 Zhang, Yu 17 Hutchcroft, Tom 17 Newman, Charles Michael 16 Chayes, Lincoln 16 Damek, Ewa 16 Penrose, Mathew D. 16 Shi, Zhan 16 Slade, Gordon 14 Khoshnevisan, Davar 14 Kozma, Gady 13 Camia, Federico 13 Chayes, Jennifer Tour 13 den Hollander, Frank 13 Guivarc’h, Yves 13 Häggström, Olle 13 Hu, Yueyun 13 Lyons, Russell 13 Sly, Allan 13 van den Berg, Rob 12 Csörgő, Miklós 12 Jamilov, Uygun U. 12 Nachmias, Asaf 12 Ren, Yanxia 12 Rozikov, Utkir A. 12 Song, Renming 12 Vatutin, Vladimir Alekseevich 12 Woess, Wolfgang 11 Barlow, Martin T. 11 Comets, Francis M. 11 Gantert, Nina 11 Guillotin-Plantard, Nadine 11 Hammond, Alan 11 Hara, Takashi 11 Janson, Svante 11 Martinez Aguilera, Servet 11 Mukhamedov, Farruh Maksutovich 11 Révész, Pál 11 Schramm, Oded 11 Steif, Jeffrey E. 11 Théret, Marie 11 Uchiyama, Kôhei 10 Ahlberg, Daniel 10 Aizenman, Michael 10 Bollobás, Béla 10 Doney, Ronald Arthur 10 Goldsheid, Ilya Ya. 10 Lawler, Gregory Francis 10 Madras, Neal 10 Meester, Ronald W. J. 10 Mossel, Elchanan 10 Mountford, Thomas S. 10 Pemantle, Robin 10 Rosalsky, Andrew 10 Samorodnitsky, Gennady Pinkhosovich 10 Shutov, Anton V. 9 Aldous, David John 9 Alexander, Kenneth S. 9 Alsmeyer, Gerold 9 Athreya, Krishna Balasundaram 9 D’yakonova, Elena Evgen’evna 9 Földes, Antónia 9 Fribergh, Alexander 9 Grigorchuk, Rostislav Ivanovich 9 Ladra González, Manuel 9 Matzinger, Heinrich III 9 Pène, Françoise 9 Peterson, Jonathon 9 Ramírez, Alejandro F. 9 Wade, Andrew R. 8 Angel, Omer 8 Asselah, Amine 8 Dolgopyat, Dmitry 8 Dudin, Sergey A. 8 Hoffman, Christopher 8 Menshikov, Mikhail V. 8 Molchanov, Stanislav Alekseevich 8 Pete, Gábor 8 Pittet, Christophe 8 Roitershtein, Alexander 8 Sakai, Akira 8 Sapozhnikov, Artëm 8 Yukich, Joseph Elliott 7 Abraham, Romain 7 Andreoletti, Pierre 7 Basu, Riddhipratim 7 Berestycki, Julien 7 Berkes, István ...and 2,787 more Authors
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#### Cited in 382 Serials

 250 Stochastic Processes and their Applications 225 The Annals of Probability 189 Probability Theory and Related Fields 165 Journal of Statistical Physics 103 Communications in Mathematical Physics 92 The Annals of Applied Probability 91 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 80 Journal of Theoretical Probability 74 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 58 Transactions of the American Mathematical Society 57 Statistics & Probability Letters 47 Journal of Applied Probability 45 Israel Journal of Mathematics 44 Advances in Applied Probability 41 Electronic Journal of Probability 34 Proceedings of the American Mathematical Society 33 Bernoulli 31 Random Structures & Algorithms 26 Theoretical Population Biology 23 Ergodic Theory and Dynamical Systems 22 Journal of Mathematical Analysis and Applications 22 Annales de l’Institut Fourier 21 Combinatorics, Probability and Computing 21 Electronic Communications in Probability 19 Inventiones Mathematicae 17 Journal of Difference Equations and Applications 15 Communications on Pure and Applied Mathematics 15 Journal of Mathematical Physics 15 Journal of Functional Analysis 15 Geometric and Functional Analysis. GAFA 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Journal of Mathematical Biology 14 Journal of Multivariate Analysis 13 Mathematical Biosciences 13 Mathematical Notes 13 Linear Algebra and its Applications 13 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 13 Extremes 13 Journal of the European Mathematical Society (JEMS) 12 Advances in Mathematics 12 Monatshefte für Mathematik 12 Potential Analysis 12 Probability Surveys 11 Journal d’Analyse Mathématique 11 Journal of Statistical Planning and Inference 11 Stochastics and Dynamics 11 Journal of Physics A: Mathematical and Theoretical 10 The Annals of Statistics 10 Journal of Soviet Mathematics 10 Theoretical Computer Science 10 Stochastic Analysis and Applications 10 Bulletin of the American Mathematical Society. New Series 9 Compositio Mathematica 9 Duke Mathematical Journal 9 Publications Mathématiques 9 Journal of Number Theory 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Brazilian Journal of Probability and Statistics 9 Journal of Statistical Mechanics: Theory and Experiment 9 ALEA. Latin American Journal of Probability and Mathematical Statistics 9 Science China. Mathematics 8 Lithuanian Mathematical Journal 8 Ukrainian Mathematical Journal 8 Bulletin of Mathematical Biology 8 Acta Mathematica 8 Journal of Combinatorial Theory. Series A 8 Journal of the American Mathematical Society 7 Archive for Rational Mechanics and Analysis 7 Discrete Applied Mathematics 7 Periodica Mathematica Hungarica 7 Journal of Differential Equations 7 Physica D 7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 7 Communications in Statistics. Theory and Methods 7 Journal of Mathematical Sciences (New York) 7 Annals of Mathematics. Second Series 7 Acta Mathematica Sinica. English Series 7 Methodology and Computing in Applied Probability 7 Stochastic Models 7 Chebyshevskiĭ Sbornik 6 Bulletin of the Australian Mathematical Society 6 Discrete Mathematics 6 Physica A 6 Theory of Probability and its Applications 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Mathematische Annalen 6 European Journal of Combinatorics 6 Journal of Economic Dynamics & Control 6 Queueing Systems 6 Indagationes Mathematicae. New Series 6 Mathematical Methods of Statistics 6 Qualitative Theory of Dynamical Systems 6 Bulletin of the American Mathematical Society 6 Proceedings of the Steklov Institute of Mathematics 6 Frontiers of Mathematics in China 6 Groups, Geometry, and Dynamics 5 Computers & Mathematics with Applications 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Nonlinearity 5 Stochastics ...and 282 more Serials
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#### Cited in 59 Fields

 2,268 Probability theory and stochastic processes (60-XX) 694 Statistical mechanics, structure of matter (82-XX) 304 Combinatorics (05-XX) 244 Dynamical systems and ergodic theory (37-XX) 232 Statistics (62-XX) 156 Biology and other natural sciences (92-XX) 105 Group theory and generalizations (20-XX) 94 Number theory (11-XX) 90 Measure and integration (28-XX) 89 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 82 Linear and multilinear algebra; matrix theory (15-XX) 79 Operations research, mathematical programming (90-XX) 78 Computer science (68-XX) 68 Partial differential equations (35-XX) 65 Abstract harmonic analysis (43-XX) 64 Operator theory (47-XX) 60 Topological groups, Lie groups (22-XX) 51 Numerical analysis (65-XX) 47 Functional analysis (46-XX) 46 Quantum theory (81-XX) 41 Systems theory; control (93-XX) 30 Ordinary differential equations (34-XX) 26 Manifolds and cell complexes (57-XX) 24 Fluid mechanics (76-XX) 24 Information and communication theory, circuits (94-XX) 22 Potential theory (31-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 18 Functions of a complex variable (30-XX) 17 Difference and functional equations (39-XX) 14 Differential geometry (53-XX) 13 Real functions (26-XX) 13 Convex and discrete geometry (52-XX) 13 General topology (54-XX) 11 Mechanics of deformable solids (74-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Mechanics of particles and systems (70-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Mathematical logic and foundations (03-XX) 5 Special functions (33-XX) 5 Sequences, series, summability (40-XX) 5 Geometry (51-XX) 4 History and biography (01-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Nonassociative rings and algebras (17-XX) 3 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Relativity and gravitational theory (83-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 1 Astronomy and astrophysics (85-XX)

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