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

Yu-Ting Chen and J. Theodore Cox

Stochastic Processes and their Applications, 2018, vol. 128, issue 7, 2463-2488

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.

Keywords: Voter model; Fleming–Viot process; Empirical measures; Weak atomic convergence; Entropy; Diversity statistics (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spa.2017.09.015

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