| 书目名称 | Spatial Fleming-Viot Models with Selection and Mutation | | 编辑 | Donald A. Dawson,Andreas Greven | | 视频video | | | 概述 | 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 exchang | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This book constructs a rigorous framework for analysing selected phenomena in evolutionary theory of populations arising due to the combined effects of migration, selection and mutation in a spatial stochastic population model, namely the evolution towards fitter and fitter types through punctuated equilibria. The discussion is based on a number of new methods, in particular multiple scale analysis, nonlinear Markov processes and their entrance laws, atomic measure-valued evolutions and new forms of duality (for state-dependent mutation and multitype selection) which are used to prove ergodic theorems in this context and are applicable for many other questions and renormalization analysis for a variety of phenomena (stasis, punctuated equilibrium, failure of naive branching approximations, biodiversity) which occur due to the combination of rare mutation, mutation, resampling, migration and selection and make it necessary to mathematically bridge the gap (in the limit) between time and space scales. | | 出版日期 | Book 2014 | | 关键词 | 60J70,92D15,92D25,60J80,60J85; ; Dual processes; Emergence of rare mutants; Fleming-Viot processes; Mutat | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-02153-9 | | isbn_softcover | 978-3-319-02152-2 | | isbn_ebook | 978-3-319-02153-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 17:27:13
