Université Paris 6
Pierre et Marie Curie
Université Paris 7
Denis Diderot

CNRS U.M.R. 7599
``Probabilités et Modèles Aléatoires''

On infection spreading and competition between independent random walks

Auteur(s):

Code(s) de Classification MSC:

Résumé: We study the models of competition and spreading of infection for infinite systems of independent random walks. For the competition model, we investigate the question whether one of the spins prevails with probability one. For the infection spreading, we give sufficient conditions for recurrence and transience (i.e., whether the origin will be visited by infected particles infinitely often a.s.).

Mots Clés: simple random walk ; transience ; recurrence

Date: 2003-11-20

Prépublication numéro: PMA-866