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Fleming-Viot processes : two explicit examples

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exemple4.pdf (236.1Kb)
Date
2016
Collection title
cahier de recherche CEREMADE- Paris-Dauphine
Dewey
Analyse
Sujet
Wasserstein distance; quasi-stationary distributions; Fleming-Viot process
URI
https://basepub.dauphine.fr/handle/123456789/17394
Collections
  • CEREMADE : Publications
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Author
Cloez, Bertrand
116466 Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie [MISTEA]
Thai, Marie-Noémie
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Document de travail / Working paper
Item number of pages
17
Abstract (EN)
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.

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