A branching-selection process related to censored Galton-Walton processes
Couronné, Olivier ; Gerin, Lucas
Annales de l'I.H.P. Probabilités et statistiques, Tome 50 (2014), p. 84-94 / Harvested from Numdam
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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.

Publié le : 2014-01-01
DOI : https://doi.org/10.1214/12-AIHP504
Classification:  60J80 
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     author = {Couronn\'e, Olivier and Gerin, Lucas},
     title = {A branching-selection process related to censored Galton-Walton processes},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {50},
     year = {2014},
     pages = {84-94},
     doi = {10.1214/12-AIHP504},
     mrnumber = {3161523},
     zbl = {1286.60085},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_2014__50_1_84_0}
}

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) pp. 84-94. doi : 10.1214/12-AIHP504. http://gdmltest.u-ga.fr/item/AIHPB_2014__50_1_84_0/

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