On the existence of an invariant measure for isotropic diffusions in random environment

• 成果类型: Article
• 署名作者: Fehrman, Benjamin J.
• 署名单位: Max Planck Society
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-016-0714-4
• 发表日期: 2017
• 页码: 409-453
• 关键词: principle

摘要

The results of this paper build upon those first obtained by Sznitman and Zeitouni (Invent Math 164(3), 455-567, 2006). We establish, for spacial dimensions , the existence of a unique invariant measure for isotropic diffusions in random environment on which are small perturbations of Brownian motion. Furthermore, we establish a general homogenization result for initial data which are locally measurable with respect to the coefficients.