REFLECTING RANDOM WALK IN FRACTAL DOMAINS
成果类型：
Article
署名作者：
Burdzy, Krzysztof; Chen, Zhen-Qing
署名单位：
University of Washington; University of Washington Seattle
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/12-AOP745
发表日期：
2013
页码：
2791-2819
关键词：
摘要：
In this paper, we show that reflecting Brownian motion in any bounded domain D can be approximated, as k -> infinity, by simple random walks on maximal connected subsets of (2(-k)Z(d)) boolean AND D whose filled-in interiors are inside of D.