Boundary trace of reflecting Brownian motions

• 成果类型: Article
• 署名作者: Benjamini, I; Chen, ZQ; Rohde, S
• 署名单位: Weizmann Institute of Science; University of Washington; University of Washington Seattle
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-003-0318-7
• 发表日期: 2004
• 页码: 1-17
• 关键词: sobolev; intersection; dimension; uniform; SPACES

摘要

We establish a uniform dimensional result for normally reflected Brownian motion (RBM) in a large class of non-smooth domains. Hausdorff dimensions for the boundary occupation time and the boundary trace of RBM are determined. Extensions to stable-like jump processes and to symmetric reflecting diffusions are also given.