A branching-selection process related to censored Galton-Walton processes

Olivier Couronné; Lucas Gerin

doi:10.1214/12-AIHP504

A branching-selection process related to censored Galton-Walton processes

Olivier Couronné
, Lucas Gerin

Université Paris-Nanterre

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by Bérard and Gouéré [Comm. Math. Phys. 298 (2010) 323-342]. The proof is based on a connection with a supercritical Galton- Watson process censored at a certain level.

langue originale	Anglais
Pages (de - à)	84-94
Nombre de pages	11
journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	50
Numéro de publication	1
Les DOIs	https://doi.org/10.1214/12-AIHP504
état	Publié - 1 févr. 2014
Modification externe	Oui

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10.1214/12-AIHP504

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title = "A branching-selection process related to censored Galton-Walton processes",

abstract = "We obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by B{\'e}rard and Gou{\'e}r{\'e} [Comm. Math. Phys. 298 (2010) 323-342]. The proof is based on a connection with a supercritical Galton- Watson process censored at a certain level.",

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AB - We obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by Bérard and Gouéré [Comm. Math. Phys. 298 (2010) 323-342]. The proof is based on a connection with a supercritical Galton- Watson process censored at a certain level.

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KW - Censored branching process

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A branching-selection process related to censored Galton-Walton processes

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