Local trapping for elliptic random walks in random environments in Zd

• 成果类型: Article
• 署名作者: Fribergh, Alexander; Kious, Daniel
• 署名单位: Universite de Montreal; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-015-0646-4
• 发表日期: 2016
• 页码: 795-834
• 关键词: transient random-walks; dirichlet environment; large numbers; LAW

摘要

We consider elliptic random walks in i.i.d. random environments on . The main goal of this paper is to study under which ellipticity conditions local trapping occurs. Our main result is to exhibit an ellipticity criterion for ballistic behavior which extends previously known results. We also show that if the annealed expected exit time of a unit hypercube is infinite then the walk has zero asymptotic velocity.