Uniqueness of the tagged particle process in a system with local interactions
成果类型：
Article
署名作者：
Grigorescu, I
署名单位：
McMaster University
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1022677446
发表日期：
1999
页码：
1268-1282
关键词：
摘要：
It has been shown that for a system of Brownian motions with local interaction considered in a diffusive scaling, under some regularity assumptions on the initial profile, the tagged particle process converges to a diffusion. We provide a sufficient condition for granting both the existence and the uniqueness of the tagged particle process for an arbitrary initial profile.