Harry Kesten | Academic Influence

Harry Kesten's AcademicInfluence.com Rankings

Harry Kesten

Mathematics

#812

World Rank

#1454

Historical Rank

#353

USA Rank

Probability Theory

#16

World Rank

#30

Historical Rank

#7

USA Rank

Measure Theory

#249

World Rank

#390

Historical Rank

#111

USA Rank

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Mathematics

Harry Kesten's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Harry Kesten Influential?

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According to Wikipedia, Harry Kesten was a Jewish American mathematician best known for his work in probability, most notably on random walks on groupss and graphs, random matrices, branching processes, and percolation theory.

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Harry Kesten's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Random difference equations and Renewal theory for products of random matrices (1973) (1014)
Percolation theory for mathematicians (1982) (857)
Symmetric random walks on groups (1959) (670)
The critical probability of bond percolation on the square lattice equals 1/2 (1980) (632)
Products of Random Matrices (1960) (547)
A limit law for random walk in a random environment (1975) (430)
Aspects of first passage percolation (1986) (414)
A Limit Theorem for Multidimensional Galton-Watson Processes (1966) (316)
Inequalities with applications to percolation and reliability (1985) (290)
Subdiffusive behavior of random walk on a random cluster (1986) (282)
Full Banach Mean Values on Countable groups. (1959) (264)
Accelerated Stochastic Approximation (1958) (259)
On the Number of Self‐Avoiding Walks (1963) (259)
A limit theorem related to a new class of self similar processes (1979) (257)
Scaling relations for 2D-percolation (1987) (245)
On the Speed of Convergence in First-Passage Percolation (1993) (218)
Additional Limit Theorems for Indecomposable Multidimensional Galton-Watson Processes (1966) (215)
The incipient infinite cluster in two-dimensional percolation (1986) (170)
EXISTENCE OF QUASI-STATIONARY DISTRIBUTIONS. A RENEWAL DYNAMICAL APPROACH (1995) (166)
Hitting probabilities of single points for processes with stationary independent increments (1969) (165)
Quadratic transformations: a model for population growth. II (1970) (165)
Percolation Theory and Ergodic Theory of Infinite Particle Systems (1987) (159)
The limit distribution of Sinai's random walk in random environment (1986) (152)
Random matrices and their applications (1986) (152)
Quadratic transformations: a model for population growth. II (1970) (148)
Renewal Theory for Functionals of a Markov Chain with General State Space (1974) (139)
On a conjecture of Erdös and Szüsz related to uniform distribution mod 1 (1966) (138)
A limit theorem for turbulent diffusion (1979) (130)
An iterated logarithm law for local time (1965) (123)
The Galton-Watson Process with Mean One and Finite Variance (1966) (121)
Percolation Theory and First-Passage Percolation (1987) (119)
First-Passage Percolation (2003) (116)
Random walk on the infinite cluster of the percolation model (1993) (111)
The spread of a rumor or infection in a moving population (2003) (110)
First-passage percolation, network flows and electrical resistances (1984) (110)
A limit theorem for stochastic acceleration (1980) (107)
Hitting probabilities of random walks on Zd (1987) (104)
Limit theorems for decomposable multi-dimensional Galton-Watson processes (1967) (103)
The Birth of the Infinite Cluster:¶Finite-Size Scaling in Percolation (2001) (100)
Convergence in distribution of products of random matrices (1984) (96)
Branching brownian motion with absorption (1978) (92)
Geometry of the uniform spanning forest: Transitions in dimensions 4, 8, 12 ,... (2001) (91)
The central limit theorem for weighted minimal spanning trees on random points (1996) (89)
Quadratic transformations: a model for population growth. I (1970) (86)
Greedy Lattice Animals I: Upper Bounds (1993) (83)
The Limit Points of a Normalized Random Walk (1970) (83)
Sums of independent random variables-without moment conditions (1972) (74)
Random walks, Brownian motion and interacting particle systems : a festschrift in honor of Frank Spitzer (1991) (72)
The Probability of a Large Finite Cluster in Supercritical Bernoulli Percolation (1990) (69)
A PROPERTY OF THE MULTINOMIAL DISTRIBUTION (1959) (68)
Branching Random Walk with Catalysts (2003) (66)
Continuity of local times for Markov processes (1972) (66)
ON THE NUMBER OF SELF-AVOIDING WALKS. PART II (1964) (64)
Inequalities for the Time Constant in First-Passage Percolation (1993) (64)
Almost All Words Are Seen In Critical Site Percolation On The Triangular Lattice (1998) (64)
A shape theorem for the spread of an infection (2003) (62)
Priority in Waiting Line Problems 1). II (1957) (61)
Distinguishing sceneries by observing the scenery along a random walk path (1996) (59)
Asymptotics in High Dimensions for Percolation (1990) (57)
On the continuity of the time constant of first-passage percolation (1981) (56)
A RATIO LIMIT THEOREM FOR (SUB) MARKOV CHAINS ON {1,2, * } WITH BOUNDED JUMPS (1995) (56)
Greedy Lattice Animals II: Linear Growth (1994) (56)
Analyticity properties and power law estimates of functions in percolation theory (1981) (56)
Ratio theorems for random walks I (1963) (54)
Two renewal theorems for general random walks tending to infinity (1996) (54)
On birth and death processes in symmetric random environment (1984) (53)
Uniform Distribution Mod 1 (1960) (51)
Once edge-reinforced random walk on a tree (2002) (49)
How long are the arms in DLA (1987) (48)
Surfaces with minimal random weights and maximal flows: A higher dimensional version of first-passage percolation (1987) (48)
Uniform boundedness of critical crossing probabilities implies hyperscaling (1999) (47)
R-positivity, quasi-stationary distributions and ratio limit theorems for a class of probabilistic automata (1996) (47)
The Correlation Length for the High-Density Phase of Bernoulli Percolation (1989) (47)
A central limit theorem for “critical” first-passage percolation in two dimensions (1997) (46)
BEHAVIOR IN LARGE DIMENSIONS OF THE POTTS AND HEISENBERG MODELS (1989) (46)
Infinite limits and infinite limit points of random walks and trimmed sums (1994) (44)
Sums of stationary sequences cannot grow slower than linearly (1975) (44)
A Sharper Form of the Doeblin-Lévy-Kolmogorov-Rogozin Inequality for Concentration Functions. (1969) (42)
Strict inequalities for some critical exponents in two-dimensional percolation (1987) (41)
Upper bounds for the growth rate of DLA (1990) (41)
A large-deviation result for the range of random walk and for the Wiener sausage (2001) (41)
The discrepancy of random sequences {kx} (1964) (41)
Examples of mixing sequences (1976) (38)
Distinguishing and reconstructing sceneries from observations along random walk paths (1997) (38)
Occupation times for Markov and semi-Markov chains (1962) (36)
Branching random walk with a critical branching part (1995) (36)
On the time constant and path length of first-passage percolation (1980) (35)
A phase transition in a model for the spread of an infection (2004) (35)
Random walk on countably infinite Abelian groups (1965) (34)
On weighted heights of random trees (1991) (33)
On some growth models with a small parameter (1995) (33)
Percolation since Saint-Flour (2012) (32)
RANDOM ELECTRICAL NETWORKS ON COMPLETE GRAPHS (1984) (31)
The Martin boundary of recurrent random walks on countable groups (1967) (30)
A Scaling relation at criticality for 2D-Percolation (1987) (30)
Some nonlinear stochastic growth models (1971) (29)
Random walks with absorbing barriers and Toeplitz forms (1961) (29)
Ratios of Trimmed Sums and Order Statistics (1992) (28)
An Absorption Problem for Several Brownian motions (1992) (27)
Detecting a single defect in a scenery by observing the scenery along a random walk path (1996) (27)
Existence and Uniqueness of Countable One-Dimensional Markov Random Fields (1976) (27)
Probability on discrete structures (2004) (27)
Making money in fair games (1991) (26)
Relations Between Solutions to a Discrete and Continuous Dirichlet Problem (1991) (25)
Asymptotic density in a coalescing random walk model (1998) (25)
Uniform distribution mod 1 (II) (1962) (24)
Recurrence properties of Lotka-Volterra models with random fluctuations (1981) (23)
Some probabilistic theorems on Diophantine approximations (1962) (22)
Random walk in a high density dynamic random environment (2013) (22)
Uniqueness of the infinite cluster and related results in percolation (1987) (21)
The number of distinguishable alleles according to the Ohta-Kimura model of neutral mutation (1980) (21)
Recurrence criteria for multi-dimensional Markov chains and multi-dimensional linear birth and death processes (1976) (21)
Convergence in distribution of lightly trimmed and untrimmed sums are equivalent (1993) (21)
PERCOLATION OF ARBITRARY WORDS ON THE CLOSE-PACKED GRAPH OF Z 2 (20)
A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains (2008) (20)
Some Remarks on the Capacity of Compound Channels in the Semicontinuous Case (1961) (20)
Greedy lattice animals: negative values and unconstrained maxima (2001) (19)
Random Electrical Networks on Complete Graphs II: Proofs (2001) (19)
Stability and other limit laws for exit times of random walks from a strip or a halfplane (1999) (18)
Percolation of Arbitrary Words in $\{0, 1\}^\mathbb{N}$ (1995) (17)
A Tribute to Paul Erdős: The critical parameter for connectedness of some random graphs (1990) (17)
The Effect of Trimming on the Strong Law of Large Numbers (1995) (17)
A local limit theorem for the number of nodes, the height, and the number of final leaves in a critical branching process tree (1996) (16)
Scaling Relations for 2 / )-Percolation (2004) (16)
Asymptotic Shape and Propagation of Fronts for Growth Models in Dynamic Random Environment (2012) (16)
Limit theorems for stochastic growth models. I (1972) (16)
Some highlights of percolation (2002) (15)
The tortuosity of occupied crossings of a box in critical percolation (1993) (15)
Ratio theorems for random walks II (1963) (15)
Randomly Coalescing Random Walk in Dimension ≥3 (2002) (15)
Perplexing Problems in Probability: Festschrift in Honor of Harry Kesten (2011) (15)
On a theorem of Spitzer and Stone and random walks with absorbing barriers (1961) (15)
A note on the Ising model in high dimensions (1989) (14)
On the Range of the Simple Random Walk Bridge on Groups (2006) (14)
Supercritical Branching Processes with Countably Many Types and the Size of Random Cantor Sets (1989) (14)
Random walks crossing power law boundaries (1998) (14)
Large deviations for the range of an integer valued random walk (2002) (14)
The Influence of Mark Kac on Probability Theory (1986) (13)
On two problems of Erdös Szüsz and Turan concerning diophantine approximations (1966) (13)
The number of alleles in electrophoretic experiments (1980) (13)
A Necessary Condition for Making Money from Fair Games (1992) (13)
Divergence of a Random Walk Through Deterministic and Random Subsequences (1997) (12)
Controlled Markov Chains (1975) (12)
Asymptotic behavior of the critical probability for ρ-percolation in high dimensions (2000) (12)
On the Compatibility of Binary Sequences (2012) (11)
Stochastic Analysis: Some caricatures of multiple contact diffusion-limited aggregation and the η-model (1991) (11)
On the non-convexity of the time constant in first-passage percolation. (1996) (11)
Random Walks Crossing High Level Curved Boundaries (1998) (11)
The speed of convergence of a martingale (1979) (10)
Site recurrence for coalescing random walk (2015) (10)
A Problem in Last-Passage Percolation (2007) (10)
Random processes in random environments (1980) (10)
On the extreme eigenvalues of translation kernels and Toeplitz matrices (1962) (9)
Random matrices and their applications : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation (1986) (9)
Oriented percolation in a random environment (2012) (9)
A Limit Theorem for Weighted Branching Process Trees (1994) (9)
Strong and Weak Limit Points of a Normalized Random Walk (1974) (8)
Asymptotics in High Dimensions For the Fortuin-Kasteleyn Random Cluster Model (1991) (8)
Discussion on Professor Kingman's Paper (1973) (8)
Hitting probabilities of single points for processes with stationary independent increments /by Harry Kesten (1969) (8)
On the number of maximal paths in directed last-passage percolation (2018) (8)
Erickson’s conjecture on the rate of escape of $d$-dimensional random walk (1978) (8)
On rapidly mixing transformations and an application to continued fractions (1958) (8)
The work of Stanislav Smirnov (2011) (8)
Percolation of Arbitrary words on the Close-Packed Graph of $\mathbb{Z}^2$ (2001) (8)
Frank Spitzer's Work on Random Walk and Brownian Motion (1993) (7)
A Bound for the Distribution of the Hitting Time of Arbitrary Sets by Random Walk (2004) (7)
PERCOLATION OF ARBITRARY WORDS IN 10, 11N (2016) (7)
A universal form of the Chung-type law of the iterated logarithm (1997) (6)
A ratio limit theorem for symmetric random walk (1970) (6)
Positive Recurrence of a One-Dimensional Variant of Diffusion Limited Aggregation (2008) (6)
Priority in waiting line problems : Prepublication (1956) (6)
A general property of random walk (1962) (5)
Connectivity of certain graphs on halfspaces, quarter spaces, ...· (1992) (5)
A tauberian theorem for random walk (1968) (5)
Some elementary proofs in renewal theory with applications to waiting times : Preliminary report (1956) (4)
A first passage time problem for random walk occupancy (1988) (4)
Some remarks on AB-percolation in high dimensions (2000) (4)
Coalescing and annihilating random walk with ‘action at a distance’ (2000) (4)
Random Deletion Does Not Affect Asymptotic Normality or Quadratic Negligibility (1997) (4)
An Introduction to Probability Theory and Its Applications, Volume I, (William Feller) (1969) (4)
Some effects of trimming on the law of the iterated logarithm (2004) (4)
Bounds for the Distribution of # W (1982) (3)
A limit theorem for the fractional parts of the sequence {2^{}} (1962) (3)
Percolation Theory at Saint-Flour (2012) (3)
INEQUALITIES WITH APPLICATIONS TO (1985) (3)
Proofs of Theorems 3.1 and 3.2 (1982) (2)
A ratio limit theorem for (sub) Markov chains on {1,2, …} with bounded jumps (1995) (2)
Book review: Les Houches 1984, session 43, critical phenomena, random systems, gauge theory (1988) (2)
Percolation theory and resistance of random electrical networks (1984) (2)
Correction to the note: On rapidly mixing Transformations and an application to continued fractions (1959) (2)
Advanced Problems: 5714-5719 (1970) (2)
Limit theorems for stochastic growth models. II (1972) (2)
Recent progress in rigorous percolation theory (2019) (2)
Recent progress in rigorous percolation theory (2019) (2)
SYMMETRIC RANDOM WALKS ON GROUPS(1) (2010) (1)
An inequality with applications to percolation theory and reliability theory (1984) (1)
Book Review: The Self-Avoiding Walk (1994) (1)
On a series of cosecants II (1959) (1)
Review: V. V. Petrov, Sums of independent random variables (1977) (1)
Correlation lenght of the high density phase of Bernoulli percolation (1989) (1)
Chapter 9. The nature of the singularity at $p_H$ (1982) (0)
Chemical subdiﬀusivity of critical 2D percolation. (English) (2022) (0)
Appendix. Some results for planar graphs (1982) (0)
Chapter 8. Power estimates (1982) (0)
PERCOLATION OF BINARY SEQUENCES (2007) (0)
(Xn- 0) - (Xn-1 - 0) = Xn- XnI indicate that I Xn - 0 is small, where- as few fluctuations in the sign of Xn - X., indicate that Xn is still far away (2016) (0)
Briefe über die Wahrscheinlichkeit, by Alfred Rényi. 94 pages. (Translated from Hungarian by Béla Lay and Ludwig Boll with the cooperation of Anna Lange.) Birkhäuser, Basel, 1969. S.Fr. 17. (1972) (0)
Chapter 1. Introduction and summary (1982) (0)
PR ] 1 3 Fe b 20 03 Geometry of the Uniform Spanning Forest : Transitions in Dimensions (2018) (0)
Chapter 6. The Russo-Seymour-Welsh theorem (1982) (0)
Correction: The Influence of Mark Kac on Probability Theory (1987) (0)
Chapter 2. What graphs do we consider (1982) (0)
Proliferation, Spread and Reaction-Dispersal Processes (1980) (0)
PROBABILITY ON THE NON-CONVEXITY OF THE TIME CONSTANT IN FIRST-PASSAGE PERCOLATION (1996) (0)
Concentration Functions (W. Hengartner and R. Theodorescu) (1975) (0)
Inequalities for Critical Probabilities (1982) (0)
Applications of Characteristic Functions (E. Lukacs and R. A. Laha) (1965) (0)
PARTS OF THE SEQUENCE {2kt} (2016) (0)
Conference on Stochastic Processes and Their Applications (12th) held at Ithaca, New York on 11-15 Jul 83, (1983) (0)
Harry Kesten Interview May 28, 1995 (1995) (0)
Priority in waiting line problems : (proceedings knaw series a, _6_0(1957), nr 3, indagationes mathematicae, _1_9(1957), p 312-336) (1957) (0)
The Nature of the Singularity at pH (1982) (0)
Randomly coalescing random walk in dimension $ geq $ 3 (2001) (0)
Periodic Percolation Problems (1982) (0)
Publications of Harry Kesten (2021) (0)
The Russo-Seymour-Welsh Theorem (1982) (0)
FOR THE SPREAD OF AN INFECTION (2004) (0)
Branching diffusion with absorption (1978) (0)
Uniform Boundedness of Crossing Probabilities Implies Hyperscaling (2016) (0)
POLYNOMIAL INTEGRALS OF DYNAMICAL SYSTEMS WITH ONE-AND-A-HALF DEGREES OF FREEDOM (2004) (0)
Which Graphs Do We Consider (1982) (0)
GREEDY LATTICE ANIMALS: NEGATIVE VALUES AND (2001) (0)
Indices. Authors, subjects, symbols (1982) (0)
Chapter 10. Inequalities for critical probabilities (1982) (0)
Randomly coalescing random walks in dimension $d \ge 3$ (2002) (0)
Chapter 11. Resistance of random electrical networks (1982) (0)
Chapter 5. Bounds for the distribution of #W (1982) (0)
Resistance of Random Electrical Networks (1982) (0)
Imprisoned Argentine Scientist (1977) (0)
PR ] 2 M ay 2 00 6 ON THE RANGE OF THE SIMPLE RANDOM WALK BRIDGE ON (2018) (0)
Chapter 3. Periodic percolation problems (1982) (0)

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