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Stuck walks

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Publication:1930858
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DOI10.1007/s00440-011-0365-4zbMath1261.60096arXiv1011.1103OpenAlexW3037468136MaRDI QIDQ1930858

A. G. Erschler, Bálint Tóth, Wendelin Werner

Publication date: 14 January 2013

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

Full work available at URL: https://arxiv.org/abs/1011.1103


zbMATH Keywords

local timetrappingself-interacting random walk


Mathematics Subject Classification ID

Special processes (60K99) Processes in random environments (60K37) Local time and additive functionals (60J55)


Related Items (3)

Stuck walks: a conjecture of Erschler, Tóth and Werner ⋮ Localization on 4 sites for vertex-reinforced random walks on \(\mathbb{Z}\) ⋮ Localization of a vertex reinforced random walk on \(\mathbb Z\) with sub-linear weight




Cites Work

  • Unnamed Item
  • Diffusivity bounds for 1D Brownian polymers
  • Vertex-reinforced random walk
  • The true self-repelling motion
  • Vertex-reinforced random walk on \(\mathbb Z\) has finite range
  • Vertex-reinforced random walk on \(\mathbb Z\) eventually gets stuck on five points.
  • The ``true self-avoiding walk with bond repulsion on \(\mathbb{Z}\): Limit theorems
  • Some Locally Self-Interacting Walks on the Integers




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