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Journal Articles ALEA : Latin American Journal of Probability and Mathematical Statistics Year : 2021

Convergence of the Fleming-Viot process toward the minimal quasi-stationary distribution

Abstract

We prove under mild conditions that the Fleming-Viot process selects the minimal quasi-stationary distribution for Markov processes with soft killing on non-compact state spaces. Our results are applied to multi-dimensional birth and death processes, continuous time Galton-Watson processes and diffusion processes with soft killing.
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Dates and versions

hal-01895618 , version 1 (16-10-2018)

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Nicolas Champagnat, Denis Villemonais. Convergence of the Fleming-Viot process toward the minimal quasi-stationary distribution. ALEA : Latin American Journal of Probability and Mathematical Statistics, 2021, 18, pp.1-15. ⟨10.30757/ALEA.v18-01⟩. ⟨hal-01895618⟩
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