Diffusivity of a random walk on random walks
Probability
2012-10-18 v1
Abstract
We consider a random walk with the constraint that each coordinate of the walk is at distance one from the following one. In this paper, we show that this random walk is slowed down by a variance factor with respect to the case of the classical simple random walk without constraint.
Cite
@article{arxiv.1210.4745,
title = {Diffusivity of a random walk on random walks},
author = {Emmanuel Boissard and Serge Cohen and Thibault Espinasse and James Norris},
journal= {arXiv preprint arXiv:1210.4745},
year = {2012}
}