Comparison of quenched and annealed invariance principles for random conductance model

• 成果类型: Article
• 署名作者: Barlow, Martin; Burdzy, Krzysztof; Timar, Adam
• 署名单位: University of British Columbia; University of Washington; University of Washington Seattle; Szeged University
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-015-0618-8
• 发表日期: 2016
• 页码: 741-770
• 关键词: reversible markov-processes; percolation clusters; random-walks; resistance

摘要

We show that there exists an ergodic conductance environment such that the weak (annealed) invariance principle holds for the corresponding continuous time random walk but the quenched invariance principle does not hold.