A reversibility problem for fleming-viot processes

Zenghu Li, Tokuzo Shiga, Lihua Yao

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Fleming-Viot processes incorporating mutation and selection are considered. It is well-known that if the mutation factor is of uniform type, the process has a reversible stationary distri- bution, and it has been an open problem to characterize the class of the processes that have reversible stationary distributions. This paper proves that if a Fleming-Viot process has a reversible stationary distribution, then the associated mutation operator is of uniform type.

Original languageEnglish (US)
Pages (from-to)65-76
Number of pages12
JournalElectronic Communications in Probability
Volume4
DOIs
StatePublished - Jan 1 1999

Keywords

  • Dirich-let space
  • Fleming-Viot processes
  • Measure-valued diffusion
  • Reversibility

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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