A note on the long time behavior of the elephant random walk with stops

We study the long time behavior of the elephant random walk with stops, introduced by Kumar, Harbola and Lindenberg (2010), and establish the phase transition of the number of visited points up to time $n$, and the correlation between the position at time $n$ and the number of moves up to time $n$.

Publication Details

Journal
ArXiv.org
Published
2025-03-22
Primary Topic
Stochastic processes and statistical mechanics
Type
article
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article

A note on the long time behavior of the elephant random walk with stops

ArXiv.org
Stochastic processes and statistical mechanics
article

A note on the long time behavior of the elephant random walk with stops

article en

Abstract

We study the long time behavior of the elephant random walk with stops, introduced by Kumar, Harbola and Lindenberg (2010), and establish the phase transition of the number of visited points up to time $n$, and the correlation between the position at time $n$ and the number of moves up to time $n$.

ArXiv.org
Openalex Percentile: Top 43%
Stochastic processes and statistical mechanics
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A note on the long time behavior of the elephant random walk with stops · ArXiv.org (2025) | TGRS Research Map | TGRS