PATTERNS IN SINAI'S WALK

• 成果类型: Article
• 署名作者: Cheliotis, Dimitris; Virag, Balint
• 署名单位: National & Kapodistrian University of Athens; University of Toronto; University of Toronto
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/11-AOP724
• 发表日期: 2013
• 页码: 1900-1937
• 关键词: LOCALIZATION; LAWS

摘要

Sinai's random walk in random environment shows interesting patterns on the exponential time scale. We characterize the patterns that appear on infinitely many time scales after appropriate resealing (a functional law of iterated logarithm). The curious rate function captures the difference between one-sided and two-sided behavior.