On strict monotonicity of the speed for excited random walks in one dimension
Probability
2015-02-26 v1
Abstract
We give a "direct" coupling proof of strict monotonicity of the speed for 1-dimensional multi-excited random walks with positive speed. This reproves (and extends) a recent result of Peterson without using branching processes.
Keywords
Cite
@article{arxiv.1502.07006,
title = {On strict monotonicity of the speed for excited random walks in one dimension},
author = {Mark Holmes},
journal= {arXiv preprint arXiv:1502.07006},
year = {2015}
}
Comments
7 pages