Translator Disclaimer
February 2014 A branching-selection process related to censored Galton–Walton processes
Olivier Couronné, Lucas Gerin
Ann. Inst. H. Poincaré Probab. Statist. 50(1): 84-94 (February 2014). DOI: 10.1214/12-AIHP504

Abstract

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.

Nous étudions un cas particulier de système de particules avec branchement et sélection introduit par Bérard et Gouéré [Comm. Math. Phys. 298 (2010) 323–342]. Nous obtenons l’asympotique pour la vitesse, en remarquant un lien avec un processus de Galton–Watson surcritique censuré à un certain niveau.

Citation

Download Citation

Olivier Couronné. Lucas Gerin. "A branching-selection process related to censored Galton–Walton processes." Ann. Inst. H. Poincaré Probab. Statist. 50 (1) 84 - 94, February 2014. https://doi.org/10.1214/12-AIHP504

Information

Published: February 2014
First available in Project Euclid: 1 January 2014

zbMATH: 1286.60085
MathSciNet: MR3161523
Digital Object Identifier: 10.1214/12-AIHP504

Subjects:
Primary: 60J80

Rights: Copyright © 2014 Institut Henri Poincaré

JOURNAL ARTICLE
11 PAGES


SHARE
Vol.50 • No. 1 • February 2014
Back to Top