Weak atomic convergence of finite voter models toward Fleming-Viot processes

Yu Ting Chen, J Theodore Cox

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We consider the empirical measures of multi-type voter models with mutation on large finite sets, and prove their weak atomic convergence in the sense of Ethier and Kurtz (1994) toward a Fleming-Viot process. Convergence in the weak atomic topology is strong enough to answer a line of inquiry raised by Aldous (2013) concerning the distributions of the corresponding entropy processes and diversity processes for types.

Original languageEnglish (US)
JournalStochastic Processes and their Applications
DOIs
StateAccepted/In press - 2017

Keywords

  • Diversity statistics
  • Empirical measures
  • Entropy
  • Fleming-Viot process
  • Primary
  • Secondary
  • Voter model
  • Weak atomic convergence

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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