Ellipticity criteria for ballistic behavior of random walks in random environment

• 成果类型: Article
• 署名作者: Campos, David; Ramirez, Alejandro F.
• 署名单位: Pontificia Universidad Catolica de Chile; Universidad Costa Rica
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-013-0527-7
• 发表日期: 2014
• 页码: 189-251
• 关键词: large numbers; LAW

摘要

We introduce ellipticity criteria for random walks in i.i.d. random environments under which we can extend the ballisticity conditions of Sznitman and the polynomial effective criteria of Berger, Drewitz and Ramirez originally defined for uniformly elliptic random walks. We prove under them the equivalence of Sznitman's condition with the polynomial effective criterion , for large enough. We furthermore give ellipticity criteria under which a random walk satisfying the polynomial effective criterion, is ballistic, satisfies the annealed central limit theorem or the quenched central limit theorem.