Some Locally Self-Interacting Walks on the Integers

DOI10.1007/978-3-642-23811-6_13zbMath1251.60073arXiv1011.1102OpenAlexW1484330022MaRDI QIDQ2903077

Wendelin Werner, Bálint Tóth, A. G. Erschler

Publication date: 23 August 2012

Published in: Probability in Complex Physical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1102

zbMATH Keywords

long time behaviorself-interacting walkasymmetric drift

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

Stuck walks: a conjecture of Erschler, Tóth and Werner ⋮ Stuck walks ⋮ Localization on 4 sites for vertex-reinforced random walks on \(\mathbb{Z}\) ⋮ Convergence of metadynamics: discussion of the adiabatic hypothesis ⋮ Large deviations and path properties of the true self-repelling motion ⋮ Localization of a vertex reinforced random walk on \(\mathbb Z\) with sub-linear weight

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