How edge-reinforced random walk arises naturally

DOI10.1007/s00440-003-0260-8zbMath1029.60089OpenAlexW2041480004MaRDI QIDQ1404210

Silke W. W. Rolles

Publication date: 20 August 2003

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-003-0260-8

zbMATH Keywords

partial exchangeabilityedge-reinforced random walknearest neighbor random walkpartially exchangeable sequences

Mathematics Subject Classification ID

Processes in random environments (60K37) Exchangeability for stochastic processes (60G09)

Related Items (14)

Random walks in random environment: What a single trajectory tells ⋮ Edge-reinforced random walk on a ladder ⋮ A random environment for linearly edge-reinforced random walks on infinite graphs ⋮ Bayesian nonparametric analysis of reversible Markov chains ⋮ Asymptotic behavior of edge-reinforced random walks ⋮ Conditional exact tests for Markovianity and reversibility in multiple categorical sequences ⋮ Sufficientness postulates for Gibbs-type priors and hierarchical generalizations ⋮ Bayesian analysis of variable-order, reversible Markov chains ⋮ On the recurrence of edge-reinforced random walk on \(\mathbb Z \times G\) ⋮ On the transience of processes defined on Galton-Watson trees ⋮ Bayesian analysis for reversible Markov chains ⋮ Limit theorems for reinforced random walks on certain trees ⋮ An asymptotic result for Brownian polymers ⋮ Recurrence of edge-reinforced random walk on a two-dimensional graph

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