Phase transition in reinforced random walk and RWRE on trees
From MaRDI portal
Publication:1105285
DOI10.1214/aop/1176991687zbMath0648.60077OpenAlexW2007200745MaRDI QIDQ1105285
Publication date: 1988
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176991687
recurrencetransiencerandom walk in a random environmentChernoff's theory of large deviationsexchangeability theoryPólya's urn schemerandom walk on an infinite tree
Sums of independent random variables; random walks (60G50) Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
Related Items (81)
Vertex-reinforced random walk on arbitrary graphs ⋮ Sharp ellipticity conditions for ballistic behavior of random walks in random environment ⋮ Urn schemes and reinforced random walks. ⋮ Deviation properties for linear self-attracting diffusion process and applications ⋮ Random walks in random environment: What a single trajectory tells ⋮ Edge-reinforced random walk on a ladder ⋮ Vertex-reinforced random walk on \(\mathbb Z\) eventually gets stuck on five points. ⋮ From transience to recurrence with Poisson tree frogs ⋮ On self-attracting \(d\)-dimensional random walks ⋮ Effective resistance of random trees ⋮ Phase transition for the once-reinforced random walk on \(\mathbb{Z}^{d}\)-like trees ⋮ Asymptotic properties for quadratic functionals of linear self-repelling diffusion process and applications ⋮ Asymptotic behaviour on the linear self-interacting diffusion driven by α-stable motion ⋮ Asymptotic behavior of edge-reinforced random walks ⋮ Attractive polymer models for two- and three-dimensional Brownian motion ⋮ Recurrence and transience preservation for vertex reinforced jump processes in one dimension ⋮ VRRW on complete-like graphs: almost sure behavior ⋮ Functional central limit theorem for random walks in random environment defined on regular trees ⋮ The laws of large numbers associated with the linear self-attracting diffusion driven by fractional Brownian motion and applications ⋮ MATRIX-MFO tandem workshop: Stochastic reinforcement processes and graphs. Abstracts from the MATRIX-MFO tandem workshop held March 5--10, 2023 ⋮ Recurrence of horizontal-vertical walks ⋮ Limit theorem for sub-ballistic random walks in Dirichlet environment in dimension \(d \geq 3\) ⋮ Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees ⋮ Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment ⋮ Representations of the vertex reinforced jump process as a mixture of Markov processes on \(\mathbb{Z}^d\) and infinite trees ⋮ Number of complete \(N\)-ary subtrees on Galton-Watson family trees ⋮ Random Dirichlet environment viewed from the particle in dimension \(d\geq 3\) ⋮ A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs ⋮ Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\) ⋮ A note on vertex-reinforced random walks. ⋮ A time-dependent version of Pólya's urn ⋮ Dynamics of vertex-reinforced random walks ⋮ Some results regarding vertex-reinforced random walks. ⋮ An expansion for self-interacting random walks ⋮ On the linear fractional self-attracting diffusion ⋮ Multi-particle processes with reinforcements ⋮ Localization for linearly edge reinforced random walks ⋮ Attracting edge property for a class of reinforced random walks ⋮ Reinforced urn processes for credit risk models ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ Large deviations in the reinforced random walk model on trees ⋮ Vertex-reinforced random walk ⋮ Weak limits of perturbed random walks and the equation \(Y_ t = B_ t+\alpha\sup\{Y_ s:s \leq t\} + \beta\inf\{Y_ s:s\leq t\}\) ⋮ Phase transitions on nonamenable graphs ⋮ Transient random walks in random environment on a Galton-Watson tree ⋮ Almost sure behavior of linearly edge-reinforced random walks on the half-line ⋮ Invariance principles for random walks in random environment on trees ⋮ On the speed of once-reinforced biased random walk on trees ⋮ Phase diagram for once-reinforced random walks on trees with exponential weighting scheme ⋮ Localization of a vertex reinforced random walk on \(\mathbb Z\) with sub-linear weight ⋮ Asymptotic behavior of Brownian polymers ⋮ Reinforced random walk ⋮ Preferential duplication graphs ⋮ A once edge-reinforced random walk on a Galton-Watson tree is transient ⋮ Stationary measures for randomly chosen maps ⋮ Network formation by reinforcement learning: the long and medium run ⋮ MATHEMATICAL ASPECTS OF ANDERSON LOCALIZATION ⋮ Random walks in Dirichlet environment: an overview. Dedicated to Dominique Bakry on the occasion of his 60th birthday ⋮ On the recurrence of edge-reinforced random walk on \(\mathbb Z \times G\) ⋮ On the transience of processes defined on Galton-Watson trees ⋮ Attraction time for strongly reinforced walks ⋮ Bayesian analysis for reversible Markov chains ⋮ Limit theorems for reinforced random walks on certain trees ⋮ The branching-ruin number as critical parameter of random processes on trees ⋮ Survival probabilities for \(N\)-ary subtrees on a Galton-Watson family tree ⋮ An asymptotic result for Brownian polymers ⋮ A quenched functional central limit theorem for random walks in random environments under \((T)_\gamma\) ⋮ Urn models and differential algebraic equations ⋮ Random walk with memory ⋮ Limit distributions of directionally reinforced random walks ⋮ Self-Interacting Markov Chains ⋮ Edge oriented reinforced random walks and RWRE ⋮ Vertex-reinforced random walk on \(\mathbb Z\) has finite range ⋮ Least squares estimation for the linear self-repelling diffusion driven by \(\alpha \)-stable motions ⋮ Tree builder random walk: recurrence, transience and ballisticity ⋮ Recurrence of edge-reinforced random walk on a two-dimensional graph ⋮ Strongly vertex-reinforced jump process on a complete graph ⋮ Reinforced random processes in continuous time. ⋮ The directed edge reinforced random walk: the Ant Mill phenomenon ⋮ On family trees and subtrees of simple branching processes ⋮ Transience of edge-reinforced random walk
This page was built for publication: Phase transition in reinforced random walk and RWRE on trees
