Fleming-Viot selects the minimal quasi-stationary distribution: the Galton-Watson case
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Publication:297443
DOI10.1214/14-AIHP635zbMATH Open1342.60145arXiv1206.6114OpenAlexW2262066538MaRDI QIDQ297443
Author name not available (Why is that?)
Publication date: 27 June 2016
Published in: (Search for Journal in Brave)
Abstract: Consider N particles moving independently, each one according to a subcritical continuous-time Galton-Watson process unless it hits 0, at which time it jumps instantaneously to the position of one of the other particles chosen uniformly at random. The resulting dynamics is called Fleming-Viot process. We show that for each N there exists a unique invariant measure for the Fleming-Viot process, and that its stationary empirical distribution converges, as N goes to infinity, to the minimal quasi-stationary distribution of the Galton-Watson process conditioned on non-extinction.
Full work available at URL: https://arxiv.org/abs/1206.6114
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