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Kesten, Harry (b. 1931 d. 2019)

Author ID: kesten.harry Recent zbMATH articles by "Kesten, Harry"
Published as: Kesten, Harry; Kesten, H.
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all top 5

Co-Authors

91 single-authored
14 Sidoravicius, Vladas
10 Maller, Ross Arthur
8 Spitzer, Frank L.
7 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
2 Vares, Maria Eulalia
1 Balch, Michael
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 Radner, Roy
1 Ramírez, Alejandro F.
1 Reshetikhin, Nikolai Yu.
1 Runnenburg, Johannes Theodorus
1 Schramm, Oded
1 Sós, Vera Turán
1 Thompson, Colin J.
1 Vershik, Anatoliĭ Moiseevich
1 Waymire, Edward C.
1 Weiss, George-Herbert
1 Yu, Zhang
all top 5

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
5 Electronic Journal of Probability
4 Acta Arithmetica
4 Illinois Journal of Mathematics
4 Transactions of the American Mathematical Society
4 Journal of Theoretical 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 Encyclopaedia of Mathematical Sciences
1 The IMA Volumes in Mathematics and its Applications
1 Progress in Probability
1 Progress in Probability and Statistics

Publications by Year

Citations contained in zbMATH Open

176 Publications have been cited 5,067 times in 3,788 Documents Cited by Year
Products of random matrices. Zbl 0137.35501
Furstenberg, H.; Kesten, H.
354
1960
Random difference equations and renewal theory for products of random matrices. Zbl 0291.60029
Kesten, Harry
324
1973
Symmetric random walks on groups. Zbl 0092.33503
Kesten, Harry
256
1959
Percolation theory for mathematicians. Zbl 0522.60097
Kesten, Harry
214
1982
A limit law for random walk in a random environment. Zbl 0388.60069
Kesten, H.; Kozlov, M. V.; Spitzer, F.
176
1975
The critical probability of bond percolation on the square lattice equals 1/2. Zbl 0441.60010
Kesten, Harry
159
1980
Subdiffusive behavior of random walk on a random cluster. Zbl 0632.60106
Kesten, H.
129
1986
A limit theorem for multidimensional Galton-Watson processes. Zbl 0203.17401
Kesten, H.; Stigum, B. P.
117
1966
Inequalities with applications to percolation and reliability. Zbl 0571.60019
van den Berg, J.; Kesten, H.
113
1985
Aspects of first passage percolation. Zbl 0602.60098
Kesten, Harry
112
1986
Full Banach mean values on countable groups. Zbl 0092.26704
Kesten, Harry
111
1959
A limit theorem related to a new class of self similar processes. Zbl 0396.60037
Kesten, H.; Spitzer, F.
111
1979
Scaling relations for 2D-percolation. Zbl 0616.60099
Kesten, Harry
89
1987
Quadratic transformations: A model for population growth. I. Zbl 0328.92011
Kesten, Harry
87
1970
On the speed of convergence in first-passage percolation. Zbl 0783.60103
Kesten, Harry
87
1993
Additional limit theorems for indecomposable multidimensional Galton- Watson processes. Zbl 0203.17402
Kesten, H.; Stigum, B. P.
87
1966
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.
72
1987
On a conjecture of Erdős and Szüsz related to uniform distribution mod 1. Zbl 0144.28902
Kesten, H.
72
1966
Renewal theory for functionals of a Markov chain with general state space. Zbl 0303.60090
Kesten, Harry
66
1974
Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061
Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P.
64
1995
An iterated logarithm law for local time. Zbl 0132.12701
Kesten, H.
64
1965
On the number of self-avoiding walks. Zbl 0122.36502
Kesten, H.
60
1963
The spread of a rumor or infection in a moving population. Zbl 1111.60074
Kesten, Harry; Sidoravicius, Vladas
53
2005
A limit theorem for turbulent diffusion. Zbl 0399.60049
Kesten, H.; Papanicolaou, G. C.
50
1979
The limit distribution of Sinai’s random walk in random environment. Zbl 0666.60065
Kesten, Harry
49
1986
Accelerated stochastic approximation. Zbl 0087.13404
Kesten, Harry
44
1958
The central limit theorem for weighted minimal spanning trees on random points. Zbl 0862.60008
Kesten, Harry; Lee, Sungchul
44
1996
First-passage percolation, network flows and electrical resistances. Zbl 0525.60098
Grimmett, Geoffrey; Kesten, Harry
43
1984
The Galton-Watson process with mean one and finite variance. Zbl 0158.35202
Kesten, H.; Ney, P.; Spitzer, F.
43
1966
The incipient infinite cluster in two-dimensional percolation. Zbl 0584.60098
Kesten, Harry
43
1986
A convolution equation and hitting probabilities of single points for processes with stationary independent increments. Zbl 0201.19002
Kesten, H.
41
1969
Hitting probabilities of random walks on \({\mathbb{Z}}^ d\). Zbl 0626.60067
Kesten, Harry
40
1987
Convergence in distribution of products of random matrices. Zbl 0535.60016
Kesten, Harry; Spitzer, Frank
39
1984
Limit theorems for decomposable multi-dimensional Galton-Watson processes. Zbl 0203.17501
Kesten, H.; Stigum, B. P.
39
1967
On the number of self-avoiding walks. II. Zbl 0161.37402
Kesten, H.
38
1964
Continuity of local times for Markov processes. Zbl 0293.60069
Getoor, R. K.; Kesten, H.
38
1972
Branching Brownian motion with absorption. Zbl 0383.60077
Kesten, Harry
38
1978
The birth of the infinite cluster: Finite-size scaling in percolation. Zbl 1038.82035
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
34
2001
A limit theorem for stochastic acceleration. Zbl 0454.60007
Kesten, H.; Papanicolaou, G. C.
34
1980
The 1971 Rietz lecture. Sums of independent random variables - without moment conditions. Zbl 0267.60053
Kesten, Harry
33
1972
Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006
Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded
33
2004
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
33
1993
The limit points of a normalized random walk. Zbl 0233.60062
Kesten, Harry
31
1970
The probability of a large cluster in supercritical Bernoulli perlocation. Zbl 0705.60092
Kesten, Harry; Zhang, Yu
29
1990
A shape theorem for the spread of an infection. Zbl 1202.92077
Kesten, Harry; Sidoravicius, Vladas
29
2008
Inequalities for the time constant in first-passage percolation. Zbl 0771.60092
van den Berg, J.; Kesten, H.
28
1993
Greedy lattice animals. I: Upper bounds. Zbl 0818.60039
Cox, J. Theodore; Gandolfi, Alberto; Griffin, Philip S.; Kesten, Harry
28
1993
Hitting probabilities of single points for processes with stationary independent increments. Zbl 0186.50202
Kesten, Harry
26
1969
A property of the multinomial distribution. Zbl 0218.62017
Kesten, Harry; Morse, Norman
25
1959
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
25
2002
Behavior in large dimensions of the Potts and Heisenberg models. Zbl 0717.60111
Kesten, H.; Schonmann, R. H.
24
1989
Distinguishing sceneries by observing the scenery along a random walk path. Zbl 0868.60059
Benjamini, Itai; Kesten, Harry
24
1996
Surfaces with minimal random weights and maximal flows: a higher dimensional version of first-passage percolation. Zbl 0591.60096
Kesten, Harry
23
1987
Analyticity properties and power law estimates of functions in percolation theory. Zbl 0512.60095
Kesten, Harry
22
1981
Almost all words are seen in critical site percolation on the triangular lattice. Zbl 0908.60082
Kesten, H.; Sidoravicius, V.; Zhang, Y.
22
1998
On the continuity of the time constant of first-passage percolation. Zbl 0474.60085
Cox, J. Theodore; Kesten, Harry
22
1981
\(R\)-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata. Zbl 0855.60061
Ferrari, P. A.; Kesten, H.; Martínez, S.
22
1996
Greedy lattice animals. II: Linear growth. Zbl 0824.60100
Gandolfi, Alberto; Kesten, Harry
21
1994
Two renewal theorems for general random walks tending to infinity. Zbl 0855.60080
Kesten, Harry; Maller, R. A.
21
1996
Uniform boundedness of critical crossing probabilities implies hyperscaling. Zbl 0940.60089
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
20
1999
Quadratic transformations: A model for population growth. II. Zbl 0328.92012
Kesten, Harry
20
1970
On birth and death processes in symmetric random environment. Zbl 0587.60088
Kawazu, Kiyoshi; Kesten, Harry
20
1984
Percolation theory and first-passage percolation. Zbl 0629.60103
Kesten, Harry
19
1987
Strict inequalities for some critical exponents in two-dimensional percolation. Zbl 0683.60081
Kesten, Harry; Yu, Zhang
19
1987
A ratio limit theorem for (sub) Markov chains on \(\{ 1,2,\cdots \}\) with bounded jumps. Zbl 0829.60059
Kesten, Harry
19
1995
Priority in waiting line problems. I, II. Zbl 0085.34801
Kesten, H.; Runnenburg, J. Th.
19
1957
Uniform distribution mod 1. Zbl 0101.03803
Kesten, Harry
19
1960
A large-deviation result for the range of random walk and for the Wiener sausage. Zbl 1015.60092
Hamana, Yuji; Kesten, Harry
18
2001
A phase transition in a model for the spread of an infection. Zbl 1101.92040
Kesten, Harry; Sidoravicius, Vladas
18
2006
A sharper form of the Doeblin-Lévy-Kolmogorov-Rogozin inequality for concentration functions. Zbl 0218.60035
Kesten, H.
17
1969
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
Ratio theorems for random walks. I. Zbl 0121.35201
Kesten, H.; Spitzer, F.
16
1963
Random walk on countably infinite Abelian groups. Zbl 0146.38301
Kesten, H.; Spitzer, F.
16
1965
Infinite limits and infinite limit points of random walks and trimmed sums. Zbl 0816.60067
Kesten, Harry; Maller, R. A.
15
1994
Examples of mixing sequences. Zbl 0337.60035
Kesten, H.; O’Brien, G. L.
15
1976
First-passage percolation. Zbl 1041.60077
Kesten, Harry
15
2003
Sums of stationary sequences cannot grow slower than linearly. Zbl 0299.28014
Kesten, Harry
15
1975
Branching random walk with catalysts. Zbl 1064.60196
Kesten, Harry; Sidoravicius, Vladas
15
2003
Asymptotics in high dimensions for percolation. Zbl 0725.60112
Kesten, Harry
15
1990
A central limit theorem for “critical” first-passage percolation in two dimensions. Zbl 0868.60077
Kesten, Harry; Zhang, Yu
15
1997
Ratio theorems for random walks. II. Zbl 0121.35202
Kesten, H.
14
1963
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
Existence and uniqueness of countable one-dimensional Markov random fields. Zbl 0367.60080
Kesten, Harry
14
1976
On the time constant and path length of first-passage percolation. Zbl 0436.60077
Kesten, Harry
14
1980
Percolation of arbitrary words in \(\{0, 1\}^ \mathbb{N}\). Zbl 0832.60095
Benjamini, Itai; Kesten, Harry
13
1995
Occupation times for Markov and semi-Markov chains. Zbl 0122.36602
Kesten, H.
13
1962
The discrepancy of random sequences \(\{kx\}\). Zbl 0135.11001
Kesten, H.
13
1964
Some nonlinear stochastic growth models. Zbl 0307.92012
Kesten, Harry
13
1971
Random electrical networks on complete graphs. Zbl 0514.60097
Grimmett, Geoffrey; Kesten, Harry
12
1984
Distinguishing and reconstructing sceneries from observations along random walk paths. Zbl 0908.60069
Kesten, Harry
12
1998
Branching random walks with acritical branching part. Zbl 0857.60087
Kesten, Harry
12
1995
Uniform distribution mod 1. II. Zbl 0113.27004
Kesten, H.
12
1962
The Martin boundary of recurrent random walks on countable groups. Zbl 0234.60091
Kesten, H.
12
1967
Ratios of trimmed sums and order statistics. Zbl 0764.60034
Kesten, Harry; Maller, R. A.
12
1992
Detecting a single defect in a scenery by observing the scenery along a random walk path. Zbl 0859.60066
Kesten, Harry
12
1996
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
Asymptotic density in a coalescing random walk model. Zbl 1044.60098
van den Berg, J.; Kesten, Harry
11
2000
A renewal theorem for random walk in a random environment. Zbl 0361.60030
Kesten, Harry
10
1977
Percolation of arbitrary words on the close-packed graph of \(\mathbb{Z}^2\). Zbl 0977.60098
Kesten, H.; Sidoravicius, V.; Zhang, Y.
10
2001
On weighted heights of random trees. Zbl 0718.60099
Durrett, Rick; Kesten, Harry; Waymire, Ed
10
1991
Oriented percolation in a random environment. Zbl 1507.60134
Kesten, Harry; Sidoravicius, Vladas; Vares, Maria Eulália
5
2022
On the number of maximal paths in directed last-passage percolation. Zbl 1459.60195
Duminil-Copin, Hugo; Kesten, Harry; Nazarov, Fedor; Peres, Yuval; Sidoravicius, Vladas
4
2020
Site recurrence for coalescing random walk. Zbl 1345.60110
Benjamini, Itai; Foxall, Eric; Gurel-Gurevich, Ori; Junge, Matthew; Kesten, Harry
4
2016
Random walk in a high density dynamic random environment. Zbl 1294.60122
den Hollander, Frank; Kesten, Harry; Sidoravicius, Vladas
7
2014
On the compatibility of binary sequences. Zbl 1334.60211
Kesten, Harry; de Lima, Bernardo N. B.; Sidoravicius, Vladas; Vares, Maria Eulália
5
2014
Percolation theory at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1180 (1986) and 1665 (1997). Zbl 1260.60007
Grimmett, Geoffrey R.; Kesten, Harry
11
2012
Asymptotic shape and propagation of fronts for growth models in dynamic random environment. Zbl 1251.60076
Kesten, Harry; Ramírez, Alejandro F.; Sidoravicius, Vladas
5
2012
The work of Stanislav Smirnov. Zbl 1234.60026
Kesten, Harry
1
2011
A problem in last-passage percolation. Zbl 1206.60091
Kesten, Harry; Sidoravicius, Vladas
2
2010
A shape theorem for the spread of an infection. Zbl 1202.92077
Kesten, Harry; Sidoravicius, Vladas
29
2008
A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains. Zbl 1154.60075
Kesten, Harry; Sidoravicius, Vladas
7
2008
Positive recurrence of a one-dimensional variant of diffusion limited aggregation. Zbl 1173.82361
Kesten, Harry; Sidoravicius, Vladas
2
2008
On the range of the simple random walk bridge on groups. Zbl 1130.60089
Benjamini, Itai; Izkovsky, Roey; Kesten, Harry
5
2007
A phase transition in a model for the spread of an infection. Zbl 1101.92040
Kesten, Harry; Sidoravicius, Vladas
18
2006
What is ... percolation? Zbl 1090.82504
Kesten, Harry
3
2006
The spread of a rumor or infection in a moving population. Zbl 1111.60074
Kesten, Harry; Sidoravicius, Vladas
53
2005
Geometry of the uniform spanning forest: transitions in dimensions 4, 8, 12,…. Zbl 1071.60006
Benjamini, Itai; Kesten, Harry; Peres, Yuval; Schramm, Oded
33
2004
Probability on discrete structures. Zbl 1025.60001
1
2004
A bound for the distribution of the hitting time of arbitrary sets by random walk. Zbl 1061.60045
Járai, Antal A.; Kesten, Harry
1
2004
First-passage percolation. Zbl 1041.60077
Kesten, Harry
15
2003
Branching random walk with catalysts. Zbl 1064.60196
Kesten, Harry; Sidoravicius, Vladas
15
2003
Once edge-reinforced random walk on a tree. Zbl 0995.60042
Durrett, Rick; Kesten, Harry; Limic, Vlada
25
2002
Large deviations for the range of an integer valued random walk. Zbl 1009.60084
Hamana, Yuji; Kesten, Harry
5
2002
Randomly coalescing random walk in dimension \(\geq 3\). Zbl 1017.60056
van den Berg, J.; Kesten, Harry
5
2002
Some highlights of percolation. Zbl 1042.60066
Kesten, Harry
4
2002
The birth of the infinite cluster: Finite-size scaling in percolation. Zbl 1038.82035
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
34
2001
A large-deviation result for the range of random walk and for the Wiener sausage. Zbl 1015.60092
Hamana, Yuji; Kesten, Harry
18
2001
Percolation of arbitrary words on the close-packed graph of \(\mathbb{Z}^2\). Zbl 0977.60098
Kesten, H.; Sidoravicius, V.; Zhang, Y.
10
2001
Greedy lattice animals: Negative values and unconstrained maxima. Zbl 1016.60048
Dembo, Amir; Gandolfi, Alberto; Kesten, Harry
5
2001
Asymptotic density in a coalescing random walk model. Zbl 1044.60098
van den Berg, J.; Kesten, Harry
11
2000
Asymptotic behavior of the critical probability for \(\rho\)-percolation in high dimensions. Zbl 0961.60093
Kesten, Harry; Su, Zhonggen
3
2000
Some remarks on AB-percolation in high dimensions. Zbl 1083.82517
Kesten, Harry; Su, Zhonggen
1
2000
Uniform boundedness of critical crossing probabilities implies hyperscaling. Zbl 0940.60089
Borgs, C.; Chayes, J. T.; Kesten, H.; Spencer, J.
20
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.
6
1999
Almost all words are seen in critical site percolation on the triangular lattice. Zbl 0908.60082
Kesten, H.; Sidoravicius, V.; Zhang, Y.
22
1998
Distinguishing and reconstructing sceneries from observations along random walk paths. Zbl 0908.60069
Kesten, Harry
12
1998
Random walks crossing power law boundaries. Zbl 0916.60041
Kesten, H.; Maller, R. A.
6
1998
Random walks crossing high level curved boundaries. Zbl 0919.60070
Kesten, Harry; Maller, R. A.
3
1998
A central limit theorem for “critical” first-passage percolation in two dimensions. Zbl 0868.60077
Kesten, Harry; Zhang, Yu
15
1997
Divergence of a random walk through deterministic and random subsequences. Zbl 0884.60067
Kesten, Harry; Maller, Ross A.
4
1997
A universal form of the Chung-type law of the iterated logarithm. Zbl 0903.60053
Kesten, Harry
1
1997
The central limit theorem for weighted minimal spanning trees on random points. Zbl 0862.60008
Kesten, Harry; Lee, Sungchul
44
1996
Distinguishing sceneries by observing the scenery along a random walk path. Zbl 0868.60059
Benjamini, Itai; Kesten, Harry
24
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.
22
1996
Two renewal theorems for general random walks tending to infinity. Zbl 0855.60080
Kesten, Harry; Maller, R. A.
21
1996
Detecting a single defect in a scenery by observing the scenery along a random walk path. Zbl 0859.60066
Kesten, Harry
12
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
8
1996
On the non-convexity of the time constant in first-passage percolation. Zbl 0866.60087
Kesten, Harry
2
1996
Existence of quasi-stationary distributions: A renewal dynamical approach. Zbl 0827.60061
Ferrari, P. A.; Kesten, H.; Martinez, S.; Picco, P.
64
1995
A ratio limit theorem for (sub) Markov chains on \(\{ 1,2,\cdots \}\) with bounded jumps. Zbl 0829.60059
Kesten, Harry
19
1995
Percolation of arbitrary words in \(\{0, 1\}^ \mathbb{N}\). Zbl 0832.60095
Benjamini, Itai; Kesten, Harry
13
1995
Branching random walks with acritical branching part. Zbl 0857.60087
Kesten, Harry
12
1995
On some growth models with a small parameter. Zbl 0820.60084
Kesten, Harry; Schonmann, Roberto H.
9
1995
The effect of trimming on the strong law of large numbers. Zbl 0835.60022
Kesten, Harry; Maller, R. A.
7
1995
Greedy lattice animals. II: Linear growth. Zbl 0824.60100
Gandolfi, Alberto; Kesten, Harry
21
1994
Infinite limits and infinite limit points of random walks and trimmed sums. Zbl 0816.60067
Kesten, Harry; Maller, R. A.
15
1994
A limit theorem for weighted branching process trees. Zbl 0820.60067
Kesten, Harry
3
1994
On the speed of convergence in first-passage percolation. Zbl 0783.60103
Kesten, Harry
87
1993
Random walk on the infinite cluster of the percolation model. Zbl 0791.60095
Grimmett, G. R.; Kesten, H.; Zhang, Y.
33
1993
Inequalities for the time constant in first-passage percolation. Zbl 0771.60092
van den Berg, J.; Kesten, H.
28
1993
Greedy lattice animals. I: Upper bounds. Zbl 0818.60039
Cox, J. Theodore; Gandolfi, Alberto; Griffin, Philip S.; Kesten, Harry
28
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
Convergence in distribution of lightly trimmed and untrimmed sums are equivalent. Zbl 0787.60026
Kesten, Harry
10
1993
The tortuosity of occupied crossings of a box in critical percolation. Zbl 0943.82542
Kesten, Harry; Zhang, Yu
4
1993
Frank Spitzer’s work on random walk and Brownian motion. Zbl 0779.60060
Kesten, Harry
2
1993
Ratios of trimmed sums and order statistics. Zbl 0764.60034
Kesten, Harry; Maller, R. A.
12
1992
A necessary condition for making money from fair games. Zbl 0758.60067
Kesten, Harry; Lawler, Gregory F.
6
1992
An absorption problem for several Brownian motions. Zbl 0765.60081
Kesten, Harry
5
1992
Connectivity of certain graphs on halfspaces, quarter spaces,.. Zbl 0772.05089
Kesten, Harry
1
1992
On weighted heights of random trees. Zbl 0718.60099
Durrett, Rick; Kesten, Harry; Waymire, Ed
10
1991
Making money from fair games. Zbl 0746.60044
Durrett, R.; Kesten, H.; Lawler, G.
9
1991
Relations between solutions to a discrete and continuous Dirichlet problem. Zbl 0737.60060
Kesten, Harry
9
1991
Random walks, Brownian motion, and interacting particle systems. A Festschrift in honor of Frank Spitzer. Zbl 0733.00027
4
1991
Some caricatures of multiple contact diffusion-limited aggregation and the \(\eta\)-model. Zbl 0746.60073
Kesten, Harry
3
1991
Asymptotics in high dimensions for the Fortuin-Kasteleyn random cluster model. Zbl 0807.60087
Kesten, Harry
2
1991
The probability of a large cluster in supercritical Bernoulli perlocation. Zbl 0705.60092
Kesten, Harry; Zhang, Yu
29
1990
Asymptotics in high dimensions for percolation. Zbl 0725.60112
Kesten, Harry
15
1990
The critical parameter for connectedness of some random graphs. Zbl 0745.05045
Durrett, R.; Kesten, H.
3
1990
Behavior in large dimensions of the Potts and Heisenberg models. Zbl 0717.60111
Kesten, H.; Schonmann, R. H.
24
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.
14
1989
A note on the Ising model in high dimensions. Zbl 0664.60109
Bricmont, J.; Kesten, H.; Lebowitz, J. L.; Schonmann, R. H.
2
1989
Supercritical branching processes with countably many types and the size of random Cantor sets. Zbl 0694.60077
Kesten, Harry
2
1989
Recent progress in rigorous percolation theory. Zbl 0658.60132
Kesten, Harry
2
1988
Scaling relations for 2D-percolation. Zbl 0616.60099
Kesten, Harry
89
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.
72
1987
Hitting probabilities of random walks on \({\mathbb{Z}}^ d\). Zbl 0626.60067
Kesten, Harry
40
1987
Surfaces with minimal random weights and maximal flows: a higher dimensional version of first-passage percolation. Zbl 0591.60096
Kesten, Harry
23
1987
Percolation theory and first-passage percolation. Zbl 0629.60103
Kesten, Harry
19
1987
Strict inequalities for some critical exponents in two-dimensional percolation. Zbl 0683.60081
Kesten, Harry; Yu, Zhang
19
1987
A scaling relation at criticality for 2D-percolation. Zbl 0631.60105
Kesten, Harry
9
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
1
1987
Subdiffusive behavior of random walk on a random cluster. Zbl 0632.60106
Kesten, H.
129
1986
Aspects of first passage percolation. Zbl 0602.60098
Kesten, Harry
112
1986
The limit distribution of Sinai’s random walk in random environment. Zbl 0666.60065
Kesten, Harry
49
1986
The incipient infinite cluster in two-dimensional percolation. Zbl 0584.60098
Kesten, Harry
43
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
8
1986
Oseledec’s multiplicative ergodic theorem: A proof. Zbl 0607.60026
Cohen, Joel E.; Kesten, Harry; Newman, Charles M.
7
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
2
1986
Mark Kac 1914–1984. Zbl 0614.60001
Kesten, Harry; Thompson, Colin J.; Cohen, Joel E.
1
1986
Inequalities with applications to percolation and reliability. Zbl 0571.60019
van den Berg, J.; Kesten, H.
113
1985
...and 76 more Documents
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Cited by 3,502 Authors

43 Kesten, Harry
36 Sidoravicius, Vladas
31 Duminil-Copin, Hugo
30 Hutchcroft, Tom
30 Peres, Yuval
26 Jamilov, Uygun U.
26 Maller, Ross Arthur
25 Grimmett, Geoffrey R.
23 Benjamini, Itai
23 Damron, Michael
23 van der Hofstad, Remco W.
22 Buraczewski, Dariusz
22 Durrett, Richard Timothy
20 Mikosch, Thomas
20 Rozikov, Utkir A.
19 Csáki, Endre
19 Damek, Ewa
19 Slade, Gordon
19 Zhang, Yu
18 Sly, Allan
17 Newman, Charles Michael
16 Chayes, Lincoln
16 Penrose, Mathew D.
16 Shi, Zhan
16 Vatutin, Vladimir Alekseevich
15 den Hollander, Frank
15 Dolgopyat, Dmitry
15 Kozma, Gady
15 Ren, Yanxia
15 Song, Renming
15 van den Berg, Rob
14 Camia, Federico
14 de Lima, Bernardo N. B.
14 Gantert, Nina
14 Guivarc’h, Yves
14 Janson, Svante
14 Khoshnevisan, Davar
14 Lyons, Russell
14 Woess, Wolfgang
13 Chayes, Jennifer Tour
13 Csörgő, Miklós
13 Häggström, Olle
13 Hu, Yueyun
13 Ladra González, Manuel
13 Liu, Quansheng
13 Mukhamedov, Farruh Maksutovich
13 Tassion, Vincent
13 Théret, Marie
13 Uchiyama, Kôhei
12 Alexander, Kenneth S.
12 Angel, Omer
12 Doney, Ronald Arthur
12 D’yakonova, Elena Evgen’evna
12 Ganguly, Shirshendu
12 Goldsheid, Ilya Ya.
12 Hammond, Alan
12 Mountford, Thomas S.
12 Nachmias, Asaf
12 Stauffer, Alexandre O.
11 Ahlberg, Daniel
11 Aizenman, Michael
11 Alsmeyer, Gerold
11 Barlow, Martin T.
11 Basu, Riddhipratim
11 Bollobás, Béla
11 Comets, Francis M.
11 Guillotin-Plantard, Nadine
11 Hara, Takashi
11 Hoffman, Christopher
11 Madras, Neal
11 Manolescu, Ioan
11 Martinez Aguilera, Servet
11 Meester, Ronald W. J.
11 Pène, Françoise
11 Révész, Pál
11 Schramm, Oded
11 Shutov, Anton V.
11 Steif, Jeffrey E.
11 Teixeira, Augusto Quadros
10 Aldous, David John
10 Croydon, David A.
10 Földes, Antónia
10 Fribergh, Alexander
10 Ganikhodjaev, Nasir Nabievich
10 Grigorchuk, Rostislav Ivanovich
10 Hanson, Jack
10 Heydenreich, Markus
10 Lawler, Gregory Francis
10 Mossel, Elchanan
10 Nolin, Pierre
10 Palmowski, Zbigniew
10 Pemantle, Robin
10 Pete, Gábor
10 Peterson, Jonathon
10 Pittet, Christophe
10 Procaccia, Eviatar Ben
10 Ramírez, Alejandro F.
10 Rosalsky, Andrew
10 Samorodnitsky, Gennady Pinkhosovich
10 Wade, Andrew R.
...and 3,402 more Authors
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Cited in 449 Serials

269 Stochastic Processes and their Applications
244 The Annals of Probability
213 Probability Theory and Related Fields
179 Journal of Statistical Physics
123 Communications in Mathematical Physics
115 The Annals of Applied Probability
107 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
102 Electronic Journal of Probability
89 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
89 Journal of Theoretical Probability
63 Transactions of the American Mathematical Society
63 Statistics & Probability Letters
61 Journal of Applied Probability
53 Advances in Applied Probability
51 Israel Journal of Mathematics
42 Random Structures & Algorithms
38 Bernoulli
35 Proceedings of the American Mathematical Society
32 Electronic Communications in Probability
29 Ergodic Theory and Dynamical Systems
29 Journal of Physics A: Mathematical and Theoretical
28 Combinatorics, Probability and Computing
25 Theoretical Population Biology
24 Journal of Mathematical Physics
23 Journal of Mathematical Analysis and Applications
23 Annales de l’Institut Fourier
23 Inventiones Mathematicae
23 Journal of Statistical Mechanics: Theory and Experiment
21 ALEA. Latin American Journal of Probability and Mathematical Statistics
20 Journal of Difference Equations and Applications
19 Journal of Functional Analysis
18 Mathematical Notes
18 Geometric and Functional Analysis. GAFA
17 Communications on Pure and Applied Mathematics
17 Journal of Mathematical Biology
17 Journal of the European Mathematical Society (JEMS)
16 Monatshefte für Mathematik
16 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
16 Extremes
16 Comptes Rendus. Mathématique. Académie des Sciences, Paris
15 Physica A
15 Advances in Mathematics
15 Probability Surveys
14 Journal of Multivariate Analysis
13 Archive for Rational Mechanics and Analysis
13 Mathematical Biosciences
13 Duke Mathematical Journal
13 Linear Algebra and its Applications
13 Potential Analysis
12 Nonlinearity
12 Brazilian Journal of Probability and Statistics
12 Stochastics and Dynamics
11 Discrete Mathematics
11 Journal d’Analyse Mathématique
11 The Annals of Statistics
11 Journal of Statistical Planning and Inference
11 Stochastic Analysis and Applications
11 Communications in Statistics. Theory and Methods
11 Journal of Mathematical Sciences (New York)
11 Stochastic Models
10 Ukrainian Mathematical Journal
10 Bulletin of Mathematical Biology
10 Compositio Mathematica
10 Journal of Soviet Mathematics
10 Queueing Systems
10 Bulletin of the American Mathematical Society. New Series
10 Acta Mathematica Sinica. English Series
10 Science China. Mathematics
9 Theoretical and Mathematical Physics
9 Publications Mathématiques
9 Journal of Number Theory
9 Theoretical Computer Science
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Qualitative Theory of Dynamical Systems
9 Proceedings of the Steklov Institute of Mathematics
8 Lithuanian Mathematical Journal
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Acta Mathematica
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Journal of Combinatorial Theory. Series A
8 Physica D
8 Journal of the American Mathematical Society
8 Annals of Mathematics. Second Series
8 Oberwolfach Reports
7 Bulletin of the Australian Mathematical Society
7 Discrete Applied Mathematics
7 Periodica Mathematica Hungarica
7 Bulletin de la Société Mathématique de France
7 Mathematische Annalen
7 European Journal of Combinatorics
7 Journal of Time Series Analysis
7 Discrete Mathematics and Applications
7 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
7 Indagationes Mathematicae. New Series
7 Experimental Mathematics
7 Mathematical Methods of Statistics
7 Discrete and Continuous Dynamical Systems
7 Methodology and Computing in Applied Probability
7 Lobachevskii Journal of Mathematics
7 Chebyshevskiĭ Sbornik
...and 349 more Serials
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Cited in 58 Fields

2,806 Probability theory and stochastic processes (60-XX)
918 Statistical mechanics, structure of matter (82-XX)
436 Combinatorics (05-XX)
359 Dynamical systems and ergodic theory (37-XX)
267 Statistics (62-XX)
203 Biology and other natural sciences (92-XX)
133 Group theory and generalizations (20-XX)
118 Number theory (11-XX)
112 Measure and integration (28-XX)
108 Linear and multilinear algebra; matrix theory (15-XX)
105 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
100 Operator theory (47-XX)
95 Partial differential equations (35-XX)
88 Operations research, mathematical programming (90-XX)
87 Computer science (68-XX)
71 Topological groups, Lie groups (22-XX)
71 Abstract harmonic analysis (43-XX)
65 Quantum theory (81-XX)
64 Functional analysis (46-XX)
55 Numerical analysis (65-XX)
49 Systems theory; control (93-XX)
37 Ordinary differential equations (34-XX)
34 Fluid mechanics (76-XX)
33 Potential theory (31-XX)
31 Manifolds and cell complexes (57-XX)
30 Harmonic analysis on Euclidean spaces (42-XX)
28 Information and communication theory, circuits (94-XX)
25 Global analysis, analysis on manifolds (58-XX)
23 Difference and functional equations (39-XX)
22 Functions of a complex variable (30-XX)
18 Convex and discrete geometry (52-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
15 Differential geometry (53-XX)
14 Real functions (26-XX)
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12 Mechanics of deformable solids (74-XX)
11 General and overarching topics; collections (00-XX)
11 Special functions (33-XX)
11 Integral transforms, operational calculus (44-XX)
9 Approximations and expansions (41-XX)
9 Mechanics of particles and systems (70-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Geometry (51-XX)
8 Classical thermodynamics, heat transfer (80-XX)
6 History and biography (01-XX)
6 Sequences, series, summability (40-XX)
5 Mathematical logic and foundations (03-XX)
5 Nonassociative rings and algebras (17-XX)
5 Integral equations (45-XX)
5 Algebraic topology (55-XX)
4 Algebraic geometry (14-XX)
3 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 \(K\)-theory (19-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

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