Ballistic random walks in random environment at low disorder
成果类型：
Article
署名作者：
Sabot, C
署名单位：
Centre National de la Recherche Scientifique (CNRS); Sorbonne Universite; Universite Paris Cite
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/009117904000000739
发表日期：
2004
页码：
2996-3023
关键词：
摘要：
We consider random walks in a random environment of the type p(0) + gammaxiz, where p(0) denotes the transition probabilities of a stationary random walk on Z(d), to nearest neighbors, and xi(Z) is an i.i.d. random perturbation. We give an explicit expansion, for small gamma, of the asymptotic speed of the random walk under the annealed law, up to order 2. As an application, we construct, in dimension d greater than or equal to 2, a walk which goes faster than the stationary walk under the mean environment.