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

Tatsuya Akimoto, Masato Takei and Keisuke Taniguchi

Statistics & Probability Letters, 2025, vol. 224, issue C

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.

Keywords: Random walk with memory; Elephant random walk; Limit theorems; Phase transition (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110436

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