Fleming-Viot processes: two explicit examples
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Publication:2805290
zbMATH Open1337.60241arXiv1603.04670MaRDI QIDQ2805290
Author name not available (Why is that?)
Publication date: 11 May 2016
Published in: (Search for Journal in Brave)
Abstract: The purpose of this paper is to extend the investigation of the Fleming-Viot process in discrete space started in a previous work to two specific examples. The first one corresponds to a random walk on the complete graph. Due to its geometry, we establish several explicit and optimal formulas for the Fleming-Viot process (invariant distribution, correlations, spectral gap). The second example corresponds to a Markov chain in a two state space. In this case, the study of the Fleming-Viot particle system is reduced to the study of birth and death process with quadratic rates.
Full work available at URL: https://arxiv.org/abs/1603.04670
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