Electronic Journal of Probability

Hierarchically Interacting Fleming-Viot Processes With Selection and Mutation: Multiple Space Time Scale Analysis and Quasi-Equilibria

Donald Dawson and Andreas Greven

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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).

Article information

Source
Electron. J. Probab., Volume 4 (1999), paper no. 4, 81 pp.

Dates
Accepted: 4 March 1999
First available in Project Euclid: 4 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1457125513

Digital Object Identifier
doi:10.1214/EJP.v4-41

Mathematical Reviews number (MathSciNet)
MR1670873

Zentralblatt MATH identifier
0920.92016

Keywords
Interacting Fleming-Viot processes Renormalization analysis Selection Mutation Recombination

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

Citation

Dawson, Donald; Greven, Andreas. Hierarchically Interacting Fleming-Viot Processes With Selection and Mutation: Multiple Space Time Scale Analysis and Quasi-Equilibria. Electron. J. Probab. 4 (1999), paper no. 4, 81 pp. doi:10.1214/EJP.v4-41. https://projecteuclid.org/euclid.ejp/1457125513


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