A branching-selection process related to censored Galton-Walton processes
Annales de l'I.H.P. Probabilités et statistiques, Tome 50 (2014) no. 1, pp. 84-94.

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.

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.

DOI : 10.1214/12-AIHP504
Classification : 60J80
Mots-clés : Galton-Watson process, censored branching process, branching and selection 
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Couronné, Olivier; Gerin, Lucas. A branching-selection process related to censored Galton-Walton processes. Annales de l'I.H.P. Probabilités et statistiques, Tome 50 (2014) no. 1, pp. 84-94. doi : 10.1214/12-AIHP504. http://www.numdam.org/articles/10.1214/12-AIHP504/

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