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2010 Survival of a Single Mutant in One Dimension
Enrique Andjel, Judith Miller, Etienne Pardoux
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Electron. J. Probab. 15: 386-408 (2010). DOI: 10.1214/EJP.v15-769

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''.

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Enrique Andjel. Judith Miller. Etienne Pardoux. "Survival of a Single Mutant in One Dimension." Electron. J. Probab. 15 386 - 408, 2010. https://doi.org/10.1214/EJP.v15-769

Information

Accepted: 27 April 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 05946907
MathSciNet: MR2639730
Digital Object Identifier: 10.1214/EJP.v15-769

Subjects:
Primary: 60K35
Secondary: 93D25

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Vol.15 • 2010
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