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The survival probability of a mutant in a multidimensional population
Authors:Fred M Hoppe
Institution:(1) Department of Mathematics and Statistics, McMaster University, L8S 4K1 Hamilton, Ontario, Canada
Abstract:We prove a general result about the asymptotic behaviour of the survival probability of a slightly supercritical multitype Bienaymé-Galton-Watson branching process. This is the complete analogue of a result which Ewens (1968) obtained for a Poisson branching process.Research supported by NSERC
Keywords:Multitype branching process  Survival probability  Asymptotics  Probability  Generating function
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