Zero-one law for directional transience of one dimensional excited random walks
arXiv:1304.7287
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].
17 pages, no figures, to appear in Annales de l'Institut Henri Poincaré. Final version