How often can two independent elephant random walks on $\mathbb{Z}$ meet?
Probability
2024-04-23 v1
Abstract
We show that two independent elephant random walks on the integer lattice meet each other finitely often or infinitely often depends on whether the memory parameter is strictly larger than or not. Asymptotic results for the distance between them are also obtained.
Keywords
Cite
@article{arxiv.2404.13490,
title = {How often can two independent elephant random walks on $\mathbb{Z}$ meet?},
author = {Rahul Roy and Masato Takei and Hideki Tanemura},
journal= {arXiv preprint arXiv:2404.13490},
year = {2024}
}
Comments
4 pages