WEAK-CONVERGENCE FOR REVERSIBLE RANDOM-WALKS IN A RANDOM ENVIRONMENT

• 成果类型: Article
• 署名作者: BOIVIN, D
• 署名单位: University System of Ohio; Ohio State University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989125
• 发表日期: 1993
• 页码: 1427-1440
• 关键词: limit; zd

摘要

Assign to each edge e of the square lattice Z2 a random bond conductivity c(e). If c(e) are stationary, ergodic and such that 0 < a < c(e) < b < infinity for all edges e, then there is a central limit theorem for the corresponding reversible random walk on the lattice which holds for almost all environments.