The dimension of the boundary of super-Brownian motion

• 成果类型: Article
• 署名作者: Mytnik, Leonid; Perkins, Edwin
• 署名单位: Technion Israel Institute of Technology; University of British Columbia
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-018-0866-5
• 发表日期: 2019
• 页码: 821-885
• 关键词: singular solutions; models converge; equation

摘要

We show that the Hausdorff dimension of the boundary of d-dimensional super-Brownian motion is 0, if d=1, 4-22, if d=2, and (9-17)/2, if d=3.