A Branching-selection process related to censored Galton-Walton processes
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چکیده
We obtain the asymptotics for the speed of a particular case of a particle system with branching and selection introduced by Bérard and Gouéré (2010). The proof is based on a connection with a supercritical Galton-Watson process censored at a certain level. Résumé Nous étudions un cas particulier de système de particules avec branchement et sélection introduit par Bérard et Gouéré (2010). Nous obtenons l’asympotique pour la vitesse, en remarquant un lien avec un processus de Galton-Watson surcritique censuré à un certain niveau. MSC: 60J80
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تاریخ انتشار 2012