Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case

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 proces...

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Detalles Bibliográficos
Autores principales:	Ferrari, Pablo Augusto, Groisman, Pablo Jose, Jonckheere, Matthieu Thimothy Samson
Publicado:	2016
Materias:	Fleming-Viot processes Galton-Watson processes Quasi-stationary distributions Selection principle
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02460203_v52_n2_p647_Asselah http://hdl.handle.net/20.500.12110/paper_02460203_v52_n2_p647_Asselah
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_02460203_v52_n2_p647_Asselah
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spelling	paper:paper_02460203_v52_n2_p647_Asselah2023-06-08T15:21:52Z Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case Ferrari, Pablo Augusto Groisman, Pablo Jose Jonckheere, Matthieu Thimothy Samson Fleming-Viot processes Galton-Watson processes Quasi-stationary distributions Selection principle 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. © Association des Publications de l'Institut Henri Poincaré, 2016. Fil:Ferrari, P.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Groisman, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Jonckheere, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02460203_v52_n2_p647_Asselah http://hdl.handle.net/20.500.12110/paper_02460203_v52_n2_p647_Asselah
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Fleming-Viot processes Galton-Watson processes Quasi-stationary distributions Selection principle
spellingShingle	Fleming-Viot processes Galton-Watson processes Quasi-stationary distributions Selection principle Ferrari, Pablo Augusto Groisman, Pablo Jose Jonckheere, Matthieu Thimothy Samson Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case
topic_facet	Fleming-Viot processes Galton-Watson processes Quasi-stationary distributions Selection principle
description	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. © Association des Publications de l'Institut Henri Poincaré, 2016.
author	Ferrari, Pablo Augusto Groisman, Pablo Jose Jonckheere, Matthieu Thimothy Samson
author_facet	Ferrari, Pablo Augusto Groisman, Pablo Jose Jonckheere, Matthieu Thimothy Samson
author_sort	Ferrari, Pablo Augusto
title	Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case
title_short	Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case
title_full	Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case
title_fullStr	Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case
title_full_unstemmed	Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case
title_sort	fleming-viot selects the minimal quasi-stationary distribution: the galton-watson case
publishDate	2016
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02460203_v52_n2_p647_Asselah http://hdl.handle.net/20.500.12110/paper_02460203_v52_n2_p647_Asselah
work_keys_str_mv	AT ferraripabloaugusto flemingviotselectstheminimalquasistationarydistributionthegaltonwatsoncase AT groismanpablojose flemingviotselectstheminimalquasistationarydistributionthegaltonwatsoncase AT jonckheerematthieuthimothysamson flemingviotselectstheminimalquasistationarydistributionthegaltonwatsoncase
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Fleming-Viot selects the minimal quasi-stationary distribution: The Galton-Watson case

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