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 Electronic Journal of Probability > Vol. 9 (2004) > Paper 11 open journal systems 


On Infection Spreading and Competition between Independent Random Walks

Irina Kurkova, Université de Paris VI (Pierre et Marie Curie), France
Serguei Popov, Universidade de São Paulo, Brasil
M. Vachkovskaia, Universidade de Campinas, Brasil


Abstract
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.).


Full text: PDF

Pages: 293-315

Published on: April 9, 2004
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Electronic Journal of Probability. ISSN: 1083-6489