Harry Kesten's work in probability theory
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Publication:2052694
DOI10.1007/s00440-021-01046-4zbMath1495.60001arXiv2004.03861OpenAlexW3195822024MaRDI QIDQ2052694
Publication date: 26 November 2021
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.03861
Random matrices (probabilistic aspects) (60B20) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Cites Work
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- Reinforced random walk
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- Invariance principle for the random conductance model
- Lipschitz embeddings of random sequences
- Geometry of Lipschitz percolation
- The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\)
- Lower large deviations and laws of large numbers for maximal flows through a box in first passage percolation
- Lattice embeddings in percolation
- Sequences, discrepancies and applications
- Lower large deviations for the maximal flow through a domain of \({\mathbb{R}^d}\) in first passage percolation
- Sublinear variance in first-passage percolation for general distributions
- Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion
- Connectedness of certain random graphs
- On the probability of occurence of labelled subtrees of a randomly labelled tree
- Random walks in asymmetric random environments
- Fluctuation theory for Lévy processes. Ecole d'Eté de probabilités de Saint-Flour XXXV -- 2005.
- Two-dimensional critical percolation: the full scaling limit
- Rate of convergence of the mean for sub-additive ergodic sequences
- A lower bound on the two-arms exponent for critical percolation on the lattice
- The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
- Mean-field critical behaviour for percolation in high dimensions
- Relations between invasion percolation and critical percolation in two dimensions
- On large deviation regimes for random media models
- The Alexander-Orbach conjecture holds in high dimensions
- Near-critical percolation in two dimensions
- Growth rates of Euclidean minimal spanning trees with power weighted edges
- Density and uniqueness in percolation
- Ergodic properties of color records
- When are random graphs connected
- Choosing a spanning tree for the integer lattice uniformly
- Self-avoiding walk in five or more dimensions. I: The critical behaviour
- Asymptotics for Euclidean minimal spanning trees on random points
- Recurrence sets of normed random walk in \(R^d\)
- Perplexing problems in probability. Festschrift in honor of Harry Kesten
- On Russo's approximate zero-one law
- Large deviations in first-passage percolation
- Scaling limits of loop-erased random walks and uniform spanning trees
- Lipschitz embeddings of random fields
- Limit theorems for maximum flows on a lattice
- Asymptotics for \(2D\) critical first passage percolation
- The scaling limits of near-critical and dynamical percolation
- Random walks on supercritical percolation clusters
- Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
- A BK inequality for randomly drawn subsets of fixed size
- The universal relation between scaling exponents in first-passage percolation
- Universality for the random-cluster model on isoradial graphs
- Asymptotic behavior of the Brownian frog model
- Progress in high-dimensional percolation and random graphs
- Reconstruction of a multidimensional scenery with a branching random walk
- Bond percolation on isoradial graphs: criticality and universality
- The component graph of the uniform spanning forest: transitions in dimensions \(9,10,11,\ldots\)
- The Erdős-Szüsz-Turán distribution for equivariant processes
- Fluctuations of Lévy processes with applications. Introductory lectures
- A class of Toeplitz forms and their application to probability theory
- Minimal spanning trees and Stein's method
- Continuity of the time and isoperimetric constants in supercritical percolation
- The Wulff crystal in Ising and percolation models. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004
- Limiting theorems for Galton-Watson branching process
- Mean-field behavior for nearest-neighbor percolation in \(d>10\)
- Limit theorems for non-commutative operators. I
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- Stochastic Models with Power-Law Tails
- Selected Works of Oded Schramm
- 50 Years of First-Passage Percolation
- On Occupation Times for Markoff Processes
- Remarks on the theory of diophantine approximation
- The Average First Recurrence Time
- On the connectedness of a random graph
- Lectures on two-dimensional critical percolation
- John Michael Hammersley, FRS, 1920-2004
- The supercritical phase of percolation is well behaved
- Random Walk: A Modern Introduction
- Course 4 Random motions in random media
- On limiting distributions for a random walk in a critical one-dimensional random environment
- THE LACE EXPANSION FOR SELF-AVOIDING WALK IN FIVE OR MORE DIMENSIONS
- Coherent random walks arising in some genetical models
- Percolation
- Probability on Graphs
- The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
- Random Walks on Infinite Graphs and Groups
- Proof of the Van den Berg–Kesten Conjecture
- Two-dimensional volume-frozen percolation: deconcentration and prevalence of mesoscopic clusters
- Harry Kesten (1931–2019): A Personal and Scientific Tribute
- The Branching‐Ruin Number and the Critical Parameter of Once‐Reinforced Random Walk on Trees
- Random growth models: Shape and convergence rate
