THE RANDOM CONDUCTANCE MODEL WITH CAUCHY TAILS

• 成果类型: Article
• 署名作者: Barlow, Martin T.; Zheng, Xinghua
• 署名单位: University of British Columbia; Hong Kong University of Science & Technology
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/09-AAP638
• 发表日期: 2010
• 页码: 869-889
• 关键词: trap models; limit

摘要

We consider a random walk in an lid. Cauchy-tailed conductances environment. We obtain a quenched functional CLT for the suitably rescaled random walk, and, as a key step in the arguments, we improve the local limit theorem for p(n)(omega)2(t)(0, y) in [Ann. Probab. (2009). To appear], Theorem 5.14, to a result which gives uniform convergence for p(n)(omega)2(t) (x, y) for all x, y in a ball.