期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2021
卷号：18
期号：1
页码：1
DOI：10.30757/ALEA.v18-01
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We prove under mild conditions that the Fleming-Viot process selects the minimal quasi-stationary distribution for Markov processes with soft killing on non-compact state spaces. Our results are applied to multi-dimensional birth and death processes, continuous time Galton-Watson processes and diffusion processes with soft killing.
其他关键词：Quasi-stationary distributions, Fleming–Viot processes, birth and death processes, Galton-Watson processes, diffusion processes
