Functional limit theorems for elephant random walks on general periodic structures
Probability
2025-11-14 v1
Abstract
This paper investigates functional limit theorems for the Elephant Random Walk (ERW) on general periodic structures, extending the Bertenghi's results on . Our results reveal new structure-dependent quantities that do not appear in the classical setting , highlighting how the underlying structure affects the asymptotic behavior of the walk.
Cite
@article{arxiv.2511.10347,
title = {Functional limit theorems for elephant random walks on general periodic structures},
author = {Shuhei Shibata},
journal= {arXiv preprint arXiv:2511.10347},
year = {2025}
}