Persistence exponent for random walk on directed versions of Z²

2015/08/28 by Nadine Guillotin‐Plantard, Nadine Guillotin-Plantard, Guillotin-Plantard, Nadine +2
Computer Science · Mathematics · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Topological and Geometric Data Analysis #math.PR

paper · pdf · doi:10.48550/arxiv.1508.07144

19 pages

arxiv created 2015/08/28 · openalex publication_date 2015/08/28 · arxiv updated 2015/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the persistence exponent for random walks in random sceneries (RWRS) with integer values and for some special random walks in random environment in \mathbb Z² including random walks in \mathbb Z² with random orientations of the horizontal layers.

Citations

• Persistence exponent for discrete-time, time-reversible processes

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