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 Electronic Journal of Probability > Vol. 15(2010) > Paper 14 open journal systems 


Survival of a single mutant in one dimension

Enrique D. Andjel, LATP - Université de Provence
Judith R. Miller, Georgetown university
Etienne Pardoux, LATP - Université de Provence


Abstract
We study a one dimensional two-type contact process with equal rate of propagation (and death) of the two types. We show that the progeny of a finite number of mutants has a positive probability of survival if and only at time 0 there is at most a finite number of residents on at least one side of the mutant's ``colony''.


Full text: PDF

Pages: 386-408

Published on: April 27, 2010
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Electronic Journal of Probability. ISSN: 1083-6489