Deterministic walks in random environment
Probability
2020-01-23 v3 Dynamical Systems
Abstract
Motivated by the random Lorentz gas, we study deterministic walks in random environment and show that (in simple, yet relevant, cases) they can be reduced to a class of random walks in random environment where the jump probability depends (weakly) on the past. In addition, we prove few basic results (hopefully the germ of a general theory) on the latter, purely probabilistic, model.
Cite
@article{arxiv.1804.11114,
title = {Deterministic walks in random environment},
author = {Romain Aimino and Carlangelo Liverani},
journal= {arXiv preprint arXiv:1804.11114},
year = {2020}
}
Comments
Accepted for publication on Annals of Probability