Fleming-Viot couples live forever
成果类型：
Article
署名作者：
Kwasnicki, Mateusz
署名单位：
Wroclaw University of Science & Technology
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-023-01247-z
发表日期：
2024
页码：
1385-1408
关键词：
摘要：
We prove a non-extinction result for Fleming-Viot-type systems of two particles with dynamics described by an arbitrary symmetric Hunt process under the assumption that the reference measure is finite. Additionally, we describe an invariant measure for the system, we discuss its ergodicity, and we prove that the reference measure is a stationary measure for the embedded Markov chain of positions of the surviving particle at successive branching times.
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