THE SPINE OF THE FLEMING-VIOT PROCESS DRIVEN BY BROWNIAN MOTION

成果类型:
Article
署名作者:
Burdzy, Krzysztof; Englander, Janos
署名单位:
University of Washington; University of Washington Seattle; University of Colorado System; University of Colorado Boulder
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
DOI:
10.1214/23-AOP1678
发表日期:
2024
页码:
983-1015
关键词:
摘要:
We show that the spine of the Fleming-Viot process driven by Brownian motion in a bounded Lipschitz domain with Lipschitz constant less than 1 converges to Brownian motion conditioned to stay in the domain forever.