Overview
- Develops a class of spatial models of a population undergoing mutation, selection and migration
- Develops new duality methods for multitype population models
- Develops the McKean-Vlasov limit of exchangeable population models and their entrance laws
- Identifies mutation-selection equilibria
- Offers valuable insights into the role of migration in the emergence of rare mutants in spatial Fleming-Viot models
- Sheds new light on the role of migration in sustaining biodiversity in evolution
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2092)
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Table of contents (15 chapters)
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Bibliographic Information
Book Title: Spatial Fleming-Viot Models with Selection and Mutation
Authors: Donald A. Dawson, Andreas Greven
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-02153-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-02152-2Published: 30 December 2013
eBook ISBN: 978-3-319-02153-9Published: 12 December 2013
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVII, 856
Number of Illustrations: 1 b/w illustrations
Topics: Probability Theory and Stochastic Processes, Evolutionary Biology