MULTIFRACTAL ANALYSIS OF SUPERPROCESSES WITH STABLE BRANCHING IN DIMENSION ONE

• 成果类型: Article
• 署名作者: Mytnik, Leonid; Wachtel, Vitali
• 署名单位: Technion Israel Institute of Technology; University of Munich
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/14-AOP951
• 发表日期: 2015
• 页码: 2763-2809
• 关键词: super-brownian motion; partial-differential equations; spectrum

摘要

We show that density functions of a (alpha, 1, beta)-superprocesses are almost sure multifractal for alpha > beta + 1, beta is an element of (0, 1) and calculate the corresponding spectrum of singularities.