Quenched invariance principles for walks on clusters of percolation or among random conductances

• 成果类型: Article
• 署名作者: Sidoravicius, V; Sznitman, AS
• 署名单位: Instituto Nacional de Matematica Pura e Aplicada (IMPA); Swiss Federal Institutes of Technology Domain; ETH Zurich
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-004-0336-0
• 发表日期: 2004
• 页码: 219-244
• 关键词: reversible markov-processes; limit; homogenization

摘要

In this work we principally study random walk on the supercritical infinite cluster for bond percolation on Z(d). We prove a quenched functional central limit theorem for the walk when dgreater than or equal to4. We also prove a similar result for random walk among i.i.d. random conductances along nearest neighbor edges of Z(d), when dgreater than or equal to1.