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Spatial Fleming-Viot Models with Selection and Mutation: 2092 (Lecture Notes in Mathematics, 2092) - Tapa blanda

Andreas Greven

 
9783319021522: Spatial Fleming-Viot Models with Selection and Mutation: 2092 (Lecture Notes in Mathematics, 2092)
Tapa blanda
ISBN 10: 3319021524 ISBN 13: 9783319021522
Editorial: Springer Nature B.V., 2013

Sinopsis

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.

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De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer Nature B.V.
Año de publicación
2013
Idioma
Inglés
ISBN 10 
3319021524
ISBN 13 
9783319021522
Encuadernación
Tapa blanda
Número de páginas
878
Contacto del fabricante
Springer Nature Customer Service Center GmbH
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