ON THE TOPOLOGICAL BOUNDARY OF THE RANGE OF SUPER-BROWNIAN MOTION
成果类型：
Article
署名作者：
Hong, Jieliang; Mytnik, Leonid; Perkins, Edwin
署名单位：
University of British Columbia; Technion Israel Institute of Technology
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/19-AOP1386
发表日期：
2020
页码：
1168-1201
关键词：
摘要：
We show that if partial derivative R is the boundary of the range of super-Brownian motion and dim denotes Hausdorff dimension, then with probability one, for any open set U, U boolean AND partial derivative R. not equal empty set implies dim(U boolean AND partial derivative R) = {4-2 root 2 approximate to 1.17 if d = 2, 9 - root 17/2 approximate to 2.44 if d = 3. This improves recent results of the last two authors by working with the actual topological boundary, rather than the boundary of the zero set of the local time, and establishing a local result for the dimension.