Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7550166 | Stochastic Processes and their Applications | 2018 | 26 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yu-Ting Chen, J. Theodore Cox,