The Hausdorff measure of the support of two-dimensional super-Brownian motion

• 成果类型: Article
• 署名作者: LeGall, JF; Perkins, EA
• 署名单位: University of British Columbia
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1995
• 页码: 1719-1747
• 关键词: superprocesses

摘要

We show that two-dimensional super-Brownian motion is a multiple of the h-Hausdorff measure on its closed support, where h(r) = r(2) log(+)(1/r)log(+) log(+) log(+) (1/r). This complements known results in dimensions greater than 2.