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1999 Hierarchically Interacting Fleming-Viot Processes With Selection and Mutation: Multiple Space Time Scale Analysis and Quasi-Equilibria
Donald Dawson, Andreas Greven
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Electron. J. Probab. 4: 1-81 (1999). DOI: 10.1214/EJP.v4-41

Abstract

Genetic models incorporating resampling and migration are now fairly well-understood. Problems arise in the analysis, if both selection and mutation are incorporated. This paper addresses some aspects of this problem, in particular the analysis of the long-time behaviour before the equilibrium is reached (quasi-equilibrium, which is the time range of interest in most applications).

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Donald Dawson. Andreas Greven. "Hierarchically Interacting Fleming-Viot Processes With Selection and Mutation: Multiple Space Time Scale Analysis and Quasi-Equilibria." Electron. J. Probab. 4 1 - 81, 1999. https://doi.org/10.1214/EJP.v4-41

Information

Accepted: 4 March 1999; Published: 1999
First available in Project Euclid: 4 March 2016

zbMATH: 0920.92016
MathSciNet: MR1670873
Digital Object Identifier: 10.1214/EJP.v4-41

Keywords: Interacting Fleming-Viot processes , mutation , recombination , Renormalization analysis , selection

Vol.4 • 1999
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