An invariance principle for isotropic diffusions in random environment

• 成果类型: Article
• 署名作者: Sznitman, AS; Zeitouni, O
• 署名单位: Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Minnesota System; University of Minnesota Twin Cities; Technion Israel Institute of Technology; Technion Israel Institute of Technology
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-005-0477-5
• 发表日期: 2006
• 页码: 455-567
• 关键词: reversible markov-processes; random-walks; homogenization; limit

摘要

We investigate in this work the asymptotic behavior of isotropic diffusions in random environment that are small perturbations of Brownian motion. When the space dimension is three or more, we prove an invariance principle as well as transience. Our methods also apply to questions of homogenization in random media.