On symmetric random walks with random conductances on Zd

• 成果类型: Article
• 署名作者: Fontes, LRG; Mathieu, P
• 署名单位: Aix-Marseille Universite
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-005-0448-1
• 发表日期: 2006
• 页码: 565-602
• 关键词: percolation clusters

摘要

We study models of continuous time, symmetric, Z(d)-valued random walks in random environments. One of our aims is to derive estimates on the decay of transition probabilities in a case where a uniform ellipticity assumption is absent. We consider the case of independent conductances with a polynomial tail near 0 and obtain precise asymptotics for the annealed return probability and convergence times for the random walk confined to a finite box.