Zero-one law for directional transience of one dimensional excited random walks
Probability
2014-12-23 v2
Abstract
The probability that a one dimensional excited random walk in stationary ergodic and elliptic cookie environment is transient to the right (left) is either zero or one. This solves a problem posed by Kosygina and Zerner [8].
Keywords
Cite
@article{arxiv.1304.7287,
title = {Zero-one law for directional transience of one dimensional excited random walks},
author = {Gideon Amir and Noam Berger and Tal Orenshtein},
journal= {arXiv preprint arXiv:1304.7287},
year = {2014}
}
Comments
17 pages, no figures, to appear in Annales de l'Institut Henri Poincar\'e. Final version