A N-branching random walk with random selection - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue ALEA : Latin American Journal of Probability and Mathematical Statistics Année : 2017

A N-branching random walk with random selection

Résumé

We consider an exactly solvable model of branching random walk with random selection, describing the evolution of a fixed number N of individuals in the real line. At each time step t → t + 1, the individuals reproduce independently at random making children around their positions and the N individuals that form the (t + 1)th generation are chosen at random among these children according to the Gibbs measure at temperature β. We compute the asymptotic speed and the genealogical behaviour of the system.
Fichier principal
Vignette du fichier
brwrs.pdf (237.29 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01322468 , version 1 (27-05-2016)

Identifiants

Citer

Aser Cortines, Bastien Mallein. A N-branching random walk with random selection. ALEA : Latin American Journal of Probability and Mathematical Statistics, 2017, 14 (1), pp.117--137. ⟨hal-01322468⟩
122 Consultations
72 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More