Random Memory Walk
Probability
2020-04-23 v2
Abstract
We present a simple model of a random walk with partial memory, which we call the \emph{random memory walk}. We introduce this model motivated by the belief that it mimics the behavior of the once-reinforced random walk in high dimensions and with small reinforcement. We establish the transience of the random memory walk in dimensions three and higher, and show that its scaling limit is a Brownian motion.
Cite
@article{arxiv.2004.07997,
title = {Random Memory Walk},
author = {Alexander Fribergh and Daniel Kious and Vladas Sidoravicius and Alexandre Stauffer},
journal= {arXiv preprint arXiv:2004.07997},
year = {2020}
}
Comments
This paper is dedicated to the memory of Vladas Sidoravicius