Edit Profile (opens in new tab) Kesten, Harry (b. 1931 d. 2019) Co-Author Distance Author ID: kesten.harry Published as: Kesten, Harry; Kesten, H. External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 189 Publications since 1957, including 4 Books and 1 Additional arXiv Preprint 4 Contributions as Editor Biographic References: 5 Publications Co-Authors: 70 Co-Authors with 102 Joint Publications 2,741 Co-Co-Authors 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 all top 5 Fields 152 Probability theory and stochastic processes (60-XX) 42 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) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) 14 General topology (54-XX) 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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