CENTRAL-LIMIT-THEOREM FOR A RANDOM-WALK WITH RANDOM OBSTACLES IN R(D)

• 成果类型: Article
• 署名作者: TANEMURA, H
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989276
• 发表日期: 1993
• 页码: 936-960
• 关键词: reversible markov-processes; percolation

摘要

A random walk with obstacles in R(d), d greater-than-or-equal-to 2, is considered. A probability measure is put on a space of obstacles, giving a random walk with random obstacles. A central limit theorem is then proven for this process when the obstacles are distributed by a Gibbs state with sufficiently low activity. The same problem is treated for a tagged particle of an infinite hard core particle system.