Individuals at the origin in the critical catalytic branching random walk - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2003

Individuals at the origin in the critical catalytic branching random walk

Résumé

A continuous time branching random walk on the lattice $\mathbb{Z}$ is considered in which individuals may produce children at the origin only. Assuming that the underlying random walk is symmetric and the offspring reproduction law is critical we prove a conditional limit theorem for the number of individuals at the origin.
Fichier principal
Vignette du fichier
dmAC0130.pdf (89.89 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte
Loading...

Dates et versions

hal-01183926 , version 1 (12-08-2015)

Identifiants

Citer

Valentin Topchii, Vladimir Vatutin. Individuals at the origin in the critical catalytic branching random walk. Discrete Random Walks, DRW'03, 2003, Paris, France. pp.325-332, ⟨10.46298/dmtcs.3331⟩. ⟨hal-01183926⟩

Collections

TDS-MACS
60 Consultations
857 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More