How often can two independent elephant random walks on Z meet?

Rahul Roy; Masato Takei; Hideki Tanemura

doi:10.3792/PJAA.100.012

How often can two independent elephant random walks on Z meet?

Rahul Roy, Masato Takei, Hideki Tanemura

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that two independent elephant random walks on the integer lattice Z meet each other finitely often or infinitely often depends on whether the memory parameter p is strictly larger than 3/4 or not. Asymptotic results for the distance between them are also obtained.

Original language	English
Pages (from-to)	57-59
Number of pages	3
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	100
Issue number	10
DOIs	https://doi.org/10.3792/PJAA.100.012
Publication status	Published - 2024

Keywords

Elephant random walks
Random walks with memory
Self-interacting random walks

ASJC Scopus subject areas

General Mathematics

Access to Document

10.3792/PJAA.100.012

Cite this

@article{0988c64a0ec849409a90214607335872,

title = "How often can two independent elephant random walks on Z meet?",

abstract = "We show that two independent elephant random walks on the integer lattice Z meet each other finitely often or infinitely often depends on whether the memory parameter p is strictly larger than 3/4 or not. Asymptotic results for the distance between them are also obtained.",

keywords = "Elephant random walks, Random walks with memory, Self-interacting random walks",

author = "Rahul Roy and Masato Takei and Hideki Tanemura",

year = "2024",

doi = "10.3792/PJAA.100.012",

language = "English",

volume = "100",

pages = "57--59",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

issn = "0386-2194",