Harry Kesten’s Publications

[1]  H. Kesten,et al.  Asymptotic behavior of the critical probability for ρ-percolation in high dimensions , 2000 .

[2]  Joel H. Spencer,et al.  Uniform boundedness of critical crossing probabilities implies hyperscaling , 1999, Random Struct. Algorithms.

[3]  H. Kesten,et al.  Random Walks Crossing High Level Curved Boundaries , 1998 .

[4]  V. Sidoravicius,et al.  Almost All Words Are Seen In Critical Site Percolation On The Triangular Lattice , 1998 .

[5]  J. Berg,et al.  Asymptotic density in a coalescing random walk model , 1998 .

[6]  H. Kesten.  A universal form of the Chung-type law of the iterated logarithm , 1997 .

[7]  H. Kesten,et al.  Random Deletion Does Not Affect Asymptotic Normality or Quadratic Negligibility , 1997 .

[8]  H. Kesten,et al.  Divergence of a Random Walk Through Deterministic and Random Subsequences , 1997 .

[9]  H. Kesten,et al.  A central limit theorem for “critical” first-passage percolation in two dimensions , 1997 .

[10]  Harry Kesten,et al.  Distinguishing and reconstructing sceneries from observations along random walk paths , 1997, Microsurveys in Discrete Probability.

[11]  Harry Kesten,et al.  Distinguishing sceneries by observing the scenery along a random walk path , 1996 .

[12]  H. Kesten,et al.  Two renewal theorems for general random walks tending to infinity , 1996 .

[13]  Boris G. Pittel,et al.  A local limit theorem for the number of nodes, the height, and the number of final leaves in a critical branching process tree , 1996, Random Struct. Algorithms.

[14]  Kenneth S. Alexander,et al.  The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees , 1996 .

[15]  Servet Martínez,et al.  R-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata , 1996 .

[16]  H. Kesten.  On the non-convexity of the time constant in first-passage percolation. , 1996 .

[17]  Charles M. Newman,et al.  Geodesics in two-dimensional first-passage percolation , 1996 .

[18]  Harry Kesten,et al.  The central limit theorem for weighted minimal spanning trees on random points , 1996 .

[19]  Harry Kesten,et al.  Detecting a single defect in a scenery by observing the scenery along a random walk path , 1996 .

[20]  Harry Kesten,et al.  On some growth models with a small parameter , 1995 .

[21]  H. Kesten.  Branching random walk with a critical branching part , 1995 .

[22]  G. Grimmett.  The Stochastic Random-Cluster Process and the Uniqueness of Random-Cluster Measures , 1995 .

[23]  Harry Kesten,et al.  A RATIO LIMIT THEOREM FOR (SUB) MARKOV CHAINS ON {1,2, * } WITH BOUNDED JUMPS , 1995 .

[24]  H. Kesten,et al.  The Effect of Trimming on the Strong Law of Large Numbers , 1995 .

[25]  C. Newman,et al.  Divergence of Shape Fluctuations in Two Dimensions , 1995 .

[26]  I. Benjamini,et al.  Percolation of Arbitrary Words in $\{0, 1\}^\mathbb{N}$ , 1995 .

[27]  Servet Martínez,et al.  EXISTENCE OF QUASI-STATIONARY DISTRIBUTIONS. A RENEWAL DYNAMICAL APPROACH , 1995 .

[28]  J. Friedlander.  Bounds for L-Functions , 1995 .

[29]  Charles M. Newman,et al.  A Surface View of First-Passage Percolation , 1995 .

[30]  Rick Durrett,et al.  Ten lectures on particle systems , 1995 .

[31]  R. Pemantle,et al.  Planar First-Passage Percolation Times are not Tight , 2004, math/0404050.

[32]  H. Kesten,et al.  Infinite limits and infinite limit points of random walks and trimmed sums , 1994 .

[33]  Harry Kesten,et al.  Greedy Lattice Animals II: Linear Growth , 1994 .

[34]  Geoffrey Grimmett,et al.  Probability and Phase Transition , 1994 .

[35]  H. Kesten.  A Limit Theorem for Weighted Branching Process Trees , 1994 .

[36]  Gordon Slade,et al.  Mean-Field Behaviour and the Lace Expansion , 1994 .

[37]  Harry Kesten,et al.  Greedy Lattice Animals I: Upper Bounds , 1993 .

[38]  G. Grimmett,et al.  Strict inequality for critical values of Potts models and random-cluster processes , 1993 .

[39]  T. Mountford.  A Metastable Result for the Finite Multidimensional Contact Process , 1993, Canadian Mathematical Bulletin.

[40]  H. Kesten.  On the Speed of Convergence in First-Passage Percolation , 1993 .

[41]  H. Kesten.  Convergence in distribution of lightly trimmed and untrimmed sums are equivalent , 1993, Mathematical Proceedings of the Cambridge Philosophical Society.

[42]  H. Kesten.  Frank Spitzer's Work on Random Walk and Brownian Motion , 1993 .

[43]  Yu Zhang,et al.  Random walk on the infinite cluster of the percolation model , 1993 .

[44]  H. Kesten,et al.  The tortuosity of occupied crossings of a box in critical percolation , 1993 .

[45]  K. Alexander.  A Note on Some Rates of Convergence in First-Passage Percolation , 1993 .

[46]  Van den Berg,et al.  Inequalities for the Time Constant in First-Passage Percolation , 1993 .

[47]  H. Kesten,et al.  Ratios of Trimmed Sums and Order Statistics , 1992 .

[48]  J. Michael Steele,et al.  Asymptotics for Euclidean minimal spanning trees on random points , 1992 .

[49]  G. Lawler,et al.  A Necessary Condition for Making Money from Fair Games , 1992 .

[50]  S. Axler,et al.  Positive Harmonic Functions , 1992 .

[51]  H. Kesten.  An Absorption Problem for Several Brownian motions , 1992 .

[52]  Antti Kupiainen,et al.  Random walks in asymmetric random environments , 1991 .

[53]  Michael Aizenman,et al.  Percolation Critical Exponents Under the Triangle Condition , 1991 .

[54]  J. L. Gall,et al.  Brownian excursions, trees and measure-valued branching processes , 1991 .

[55]  Geoffrey Grimmett,et al.  Exponential decay for subcritical contact and percolation processes , 1991 .

[56]  J. Bricmont,et al.  Renormalization group for diffusion in a random medium. , 1991, Physical review letters.

[57]  Harry Kesten,et al.  Making money in fair games , 1991 .

[58]  David Aldous,et al.  The Continuum Random Tree III , 1991 .

[59]  G. Lawler.  Intersections of random walks , 1991 .

[60]  H. Kesten.  Relations Between Solutions to a Discrete and Continuous Dirichlet Problem , 1991 .

[61]  H. Kesten,et al.  Stochastic Analysis: Some caricatures of multiple contact diffusion-limited aggregation and the η-model , 1991 .

[62]  H. Kesten.  Asymptotics in High Dimensions For the Fortuin-Kasteleyn Random Cluster Model , 1991 .

[63]  Harry Kesten,et al.  On weighted heights of random trees , 1991 .

[64]  G. Grimmett,et al.  The Critical Contact Process Dies Out , 1990 .

[65]  H. Kesten.  Upper bounds for the growth rate of DLA , 1990 .

[66]  J. Wehr,et al.  Fluctuations of extensive functions of quenched random couplings , 1990 .

[67]  Yu Zhang,et al.  The Probability of a Large Finite Cluster in Supercritical Bernoulli Percolation , 1990 .

[68]  G. Slade,et al.  Mean-field critical behaviour for percolation in high dimensions , 1990 .

[69]  Antti Kupiainen,et al.  Renormalization Group and Random Systems , 1990 .

[70]  R. Schonmann,et al.  A note on the Ising model in high dimensions , 1989 .

[71]  Harry Kesten,et al.  The Correlation Length for the High-Density Phase of Bernoulli Percolation , 1989 .

[72]  R. Burton,et al.  Density and uniqueness in percolation , 1989 .

[73]  Maury Bramson,et al.  Statistical Mechanics of Crabgrass , 1989 .

[74]  H. Kesten,et al.  BEHAVIOR IN LARGE DIMENSIONS OF THE POTTS AND HEISENBERG MODELS , 1989 .

[75]  Harry Kesten,et al.  Supercritical Branching Processes with Countably Many Types and the Size of Random Cantor Sets , 1989 .

[76]  G. Slade,et al.  The triangle condition for percolation , 1989 .

[77]  Michael Aizenman,et al.  Metastability effects in bootstrap percolation , 1988 .

[78]  R. Durrett,et al.  The Contact Process on a Finite Set. II , 1988 .

[79]  H. Kesten,et al.  A first passage time problem for random walk occupancy , 1988 .

[80]  H. Kesten.  Book review: Les Houches 1984, session 43, critical phenomena, random systems, gauge theory , 1988 .

[81]  J. Chayes,et al.  Discontinuity of the magnetization in one-dimensional 1/¦x−y¦2 Ising and Potts models , 1988 .

[82]  H. Kesten,et al.  Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation , 1987 .

[83]  Harry Kesten,et al.  Percolation Theory and First-Passage Percolation , 1987 .

[84]  M. Aizenman,et al.  Sharpness of the phase transition in percolation models , 1987 .

[85]  H. Kesten,et al.  Strict inequalities for some critical exponents in two-dimensional percolation , 1987 .

[86]  H. Kesten.  Scaling relations for 2D-percolation , 1987 .

[87]  H. Kesten.  Surfaces with minimal random weights and maximal flows: A higher dimensional version of first-passage percolation , 1987 .

[88]  H. Kesten.  How long are the arms in DLA , 1987 .

[89]  Harry Kesten,et al.  Hitting probabilities of random walks on Zd , 1987 .

[90]  Charles M. Newman,et al.  Uniqueness of the infinite cluster and related results in percolation , 1987 .

[91]  H. Kesten.  A Scaling relation at criticality for 2D-Percolation , 1987 .

[92]  M. Aizenman,et al.  Discontinuity of the percolation density in one dimensional 1/|x−y|2 percolation models , 1986 .

[93]  Stauffer,et al.  Dynamic scaling of Eden-cluster surfaces. , 1986, Physical review letters.

[94]  H. Kesten.  The Influence of Mark Kac on Probability Theory , 1986 .

[95]  Harry Kesten,et al.  The limit distribution of Sinai's random walk in random environment , 1986 .

[96]  Harry Kesten,et al.  The incipient infinite cluster in two-dimensional percolation , 1986 .

[97]  Stauffer,et al.  Simulation of large Eden clusters. , 1986, Physical review. A, General physics.

[98]  Kesten.  Evidence for Ising-type critical phenomena in two-dimensional percolation. , 1986, Physical review letters.

[99]  Zhang,et al.  Dynamic scaling of growing interfaces. , 1986, Physical review letters.

[100]  Joel E. Cohen,et al.  Random matrices and their applications , 1986 .

[101]  H. Kesten.  Subdiffusive behavior of random walk on a random cluster , 1986 .

[102]  Van den Berg,et al.  Inequalities with applications to percolation and reliability , 1985, Journal of Applied Probability.

[103]  H. Kesten,et al.  On birth and death processes in symmetric random environment , 1984 .

[104]  F. Spitzer,et al.  Convergence in distribution of products of random matrices , 1984 .

[105]  R. Durrett.  Oriented Percolation in Two Dimensions , 1984 .

[106]  Harry Kesten,et al.  First-passage percolation, network flows and electrical resistances , 1984 .

[107]  G. Grimmett,et al.  RANDOM ELECTRICAL NETWORKS ON COMPLETE GRAPHS , 1984 .

[108]  Charles M. Newman,et al.  Tree graph inequalities and critical behavior in percolation models , 1984 .

[109]  Eric S. Key,et al.  Recurrence and Transience Criteria for Random Walk in a Random Environment , 1984 .

[110]  Charles M. Newman,et al.  The Stability of Large Random Matrices and Their Products , 1984 .

[111]  J. Chayes,et al.  On a sharp transition from area law to perimeter law in a system of random surfaces , 1983 .

[112]  Y. Sinai.  The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium , 1983 .

[113]  H. Kesten.  Percolation theory for mathematicians , 1982 .

[114]  Michael Aizenman,et al.  Geometric analysis of φ4 fields and Ising models. Parts I and II , 1982 .

[115]  J. T. Cox,et al.  On the continuity of the time constant of first-passage percolation , 1981, Journal of Applied Probability.

[116]  Charles M. Newman,et al.  Infinite clusters in percolation models , 1981 .

[117]  S. Kalikow,et al.  GENERALIZED RANDOM WALK IN A RANDOM ENVIRONMENT , 1981 .

[118]  J. T. Cox,et al.  Some Limit Theorems for Percolation Processes with Necessary and Sufficient Conditions , 1981 .

[119]  H. Kesten.  Analyticity properties and power law estimates of functions in percolation theory , 1981 .

[120]  Rick Durrett,et al.  The Shape of the Limit Set in Richardson's Growth Model , 1981 .

[121]  Yukio Ogura,et al.  Recurrence properties of Lotka-Volterra models with random fluctuations , 1981 .

[122]  Harry Kesten,et al.  On the time constant and path length of first-passage percolation , 1980, Advances in Applied Probability.

[123]  G. Papanicolaou,et al.  A limit theorem for stochastic acceleration , 1980 .

[124]  H. Kesten.  The number of distinguishable alleles according to the Ohta-Kimura model of neutral mutation , 1980 .

[125]  H. Kesten.  The number of alleles in electrophoretic experiments , 1980 .

[126]  H. Kesten.  Random processes in random environments , 1980, Advances in Applied Probability.

[127]  Maury Bramson,et al.  Asymptotics for interacting particle systems onZd , 1980 .

[128]  H. Kesten.  The critical probability of bond percolation on the square lattice equals 1/2 , 1980 .

[129]  S. Sawyer.  A limit theorem for patch sizes in a selectively-neutral migration model , 1979, Journal of Applied Probability.

[130]  H. Kesten.  The speed of convergence of a martingale , 1979 .

[131]  Harry Kesten,et al.  A limit theorem related to a new class of self similar processes , 1979 .

[132]  George Papanicolaou,et al.  A limit theorem for turbulent diffusion , 1979 .

[133]  H. Kesten.  Erickson’s conjecture on the rate of escape of $d$-dimensional random walk , 1978 .

[134]  L. Russo.  A note on percolation , 1978 .

[135]  D. Welsh,et al.  Percolation probabilities on the square lattice , 1978 .

[136]  R. Smythe,et al.  First-passage percolation on the square lattice. I , 1977, Advances in Applied Probability.

[137]  Hiroshi Ishitani,et al.  A Central Limit Theorem for the Subadditive Process and Its Application to Products of Random Matrices , 1976 .

[138]  H. Kesten.  Existence and Uniqueness of Countable One-Dimensional Markov Random Fields , 1976 .

[139]  H. Kesten,et al.  Examples of mixing sequences , 1976 .

[140]  H. Kesten.  Recurrence criteria for multi-dimensional Markov chains and multi-dimensional linear birth and death processes , 1976, Advances in Applied Probability.

[141]  F. Spitzer,et al.  Controlled Markov Chains , 1975 .

[142]  Frederick Solomon.  Random Walks in a Random Environment , 1975 .

[143]  Harry Kesten,et al.  A limit law for random walk in a random environment , 1975 .

[144]  Harry Kesten,et al.  Sums of stationary sequences cannot grow slower than linearly , 1975 .

[145]  K. B. Erickson,et al.  Strong and Weak Limit Points of a Normalized Random Walk , 1974 .

[146]  Harry Kesten,et al.  Renewal Theory for Functionals of a Markov Chain with General State Space , 1974 .

[147]  H. Kesten.  Random difference equations and Renewal theory for products of random matrices , 1973 .

[148]  D. Richardson.  Random growth in a tessellation , 1973, Mathematical Proceedings of the Cambridge Philosophical Society.

[149]  H. Kesten.  Limit theorems for stochastic growth models. I , 1972, Advances in Applied Probability.

[150]  H. Kesten.  Sums of independent random variables-without moment conditions , 1972 .

[151]  C. Fortuin,et al.  On the random-cluster model: I. Introduction and relation to other models , 1972 .

[152]  H. Kesten,et al.  Continuity of local times for Markov processes , 1972 .

[153]  H. Kesten.  Some nonlinear stochastic growth models , 1971 .

[154]  H. Kesten.  A ratio limit theorem for symmetric random walk , 1970 .

[155]  H. Kesten.  The Limit Points of a Normalized Random Walk , 1970 .

[156]  H. Kesten.  Quadratic transformations: a model for population growth. II , 1970, Advances in Applied Probability.

[157]  H. Kesten.  A Sharper Form of the Doeblin-Lévy-Kolmogorov-Rogozin Inequality for Concentration Functions. , 1969 .

[158]  C. J. Stone,et al.  Potential theory of random walks on Abelian groups , 1969 .

[159]  Harry Kesten,et al.  Hitting probabilities of single points for processes with stationary independent increments , 1969 .

[160]  J. Kingman,et al.  The Ergodic Theory of Subadditive Stochastic Processes , 1968 .

[161]  H. Kesten.  A tauberian theorem for random walk , 1968 .

[162]  H. Kesten,et al.  Limit theorems for decomposable multi-dimensional Galton-Watson processes , 1967 .

[163]  H. Kesten,et al.  The Martin boundary of recurrent random walks on countable groups , 1967 .

[164]  H. Kesten,et al.  Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes , 1966 .

[165]  H. Kesten,et al.  A Limit Theorem for Multidimensional Galton-Watson Processes , 1966 .

[166]  Frank Spitzer,et al.  The Galton-Watson Process with Mean One and Finite Variance , 1966 .

[167]  H. Kesten.  On a conjecture of Erdös and Szüsz related to uniform distribution mod 1 , 1966 .

[168]  V. Sós,et al.  On two problems of Erdös Szüsz and Turan concerning diophantine approximations , 1966 .

[169]  F. Spitzer,et al.  Random walk on countably infinite Abelian groups , 1965 .

[170]  H. Kesten.  An iterated logarithm law for local time , 1965 .

[171]  J. Hammersley,et al.  First-Passage Percolation, Subadditive Processes, Stochastic Networks, and Generalized Renewal Theory , 1965 .

[172]  F. Spitzer.  Principles Of Random Walk , 1965 .

[173]  H. Kesten,et al.  ON THE NUMBER OF SELF-AVOIDING WALKS. PART II , 1964 .

[174]  J. W. Essam,et al.  Exact Critical Percolation Probabilities for Site and Bond Problems in Two Dimensions , 1964 .

[175]  V. Strassen.  An invariance principle for the law of the iterated logarithm , 1964 .

[176]  H. Kesten.  The discrepancy of random sequences {kx} , 1964 .

[177]  F. Spitzer,et al.  Ratio theorems for random walks I , 1963 .

[178]  Harry Kesten,et al.  On the Number of Self‐Avoiding Walks , 1963 .

[179]  Harry Kesten,et al.  On the extreme eigenvalues of translation kernels and Toeplitz matrices , 1962 .

[180]  F. Spitzer,et al.  A general property of random walk , 1962 .

[181]  P. WHITTLE,et al.  Markov Processes and Their Applications , 1962, Nature.

[182]  H. Kesten.  Some probabilistic theorems on Diophantine approximations , 1962 .

[183]  H. Kesten.  Occupation times for Markov and semi-Markov chains , 1962 .

[184]  H. Kesten.  Uniform distribution mod 1 (II) , 1962 .

[185]  Harry Kesten,et al.  Some Remarks on the Capacity of Compound Channels in the Semicontinuous Case , 1961, Inf. Control..

[186]  J. Hammersley.  The number of polygons on a lattice , 1961, Mathematical Proceedings of the Cambridge Philosophical Society.

[187]  H. Kesten.  Random walks with absorbing barriers and Toeplitz forms , 1961 .

[188]  H. Kesten.  On a theorem of Spitzer and Stone and random walks with absorbing barriers , 1961 .

[189]  M. Eden.  A Two-dimensional Growth Process , 1961 .

[190]  H. Furstenberg,et al.  Products of Random Matrices , 1960 .

[191]  Harry Kesten,et al.  Uniform Distribution Mod 1 , 1960 .

[192]  T. E. Harris.  A lower bound for the critical probability in a certain percolation process , 1960, Mathematical Proceedings of the Cambridge Philosophical Society.

[193]  Harry Kesten,et al.  Full Banach Mean Values on Countable groups. , 1959 .

[194]  Harry Kesten,et al.  A PROPERTY OF THE MULTINOMIAL DISTRIBUTION , 1959 .

[195]  Harry Kesten,et al.  Symmetric random walks on groups , 1959 .

[196]  H. Kesten.  On a series of cosecants II , 1959 .

[197]  H. Kesten,et al.  On rapidly mixing transformations and an application to continued fractions , 1958 .

[198]  H. Kesten.  Accelerated Stochastic Approximation , 1958 .

[199]  J. Hammersley,et al.  Percolation processes , 1957, Mathematical Proceedings of the Cambridge Philosophical Society.

[200]  G. A. Hunt.  Markoff processes and potentials II , 1957 .

[201]  N. Fine.  On the asymptotic distribution of certain sums , 1954 .

[202]  M. Kac,et al.  On the Distribution of Values of Sums of the Type Σf(2 k t) , 1946 .

[203]  W. Doeblin.  Remarques sur la théorie métrique des fractions continues , 1940 .