A mutation-selection model with recombination for general genotypes / / Steven N. Evans, David Steinsaltz, Kenneth W. Wachter

• Record Nr.: UNINA9910480507103321
• Autore: Evans Steven N (Steven Neil)
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2012; ©2012
• ISBN: 0-8218-9511-7
• Descrizione fisica: 1 online resource (128 p.)
• Collana: Memoirs of the American Mathematical Society, , 1947-6221 ; ; Volume 222, Number 1044
• Disciplina: 572.8/38
• Soggetti: Evolutionary genetics; Mutation (Biology); Genetic recombination; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "March 2013, Volume 222, Number 1044 (third of 5 numbers)."
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. Informal description of the limit model""; ""1.2. Example I: Mutation counting""; ""1.3. Example II: Polynomial selective costs""; ""1.4. Example III: Demographic selective costs""; ""1.5. Comments on the literature""; ""1.6. Overview of the remainder of the work""; ""Chapter 2. Definition, Existence, and Uniqueness of the Dynamical System""; ""2.1. Spaces of measures""; ""2.2. Definition of the dynamical system""; ""2.3. Existence and uniqueness of solutions""; ""2.4. Lemmas used in the proof of existence and uniqueness""; ""3.9. Equilibria for demographic selective costs""""Chapter 4. Mutation, Selection, and Recombination in Discrete Time""; ""4.1. Mutation and selection in discrete time""; ""4.2. Recombination in discrete time""; ""4.3. Recombination trees and annealed recombination""; ""4.4. Vintages""; ""Chapter 5. Shattering and the Formulation of the Convergence Result""; ""5.1. Shattering of random measures""; ""5.2. Consequences of shattering""; ""5.3. Convergence to Poisson of iterated recombination""; ""5.4. Atoms in the initial intensity""; ""5.5. Preview of the main convergence result""; ""Chapter 6. Convergence with Complete Poissonization""""Chapter 7. Supporting Lemmas for the Main Convergence Result""; ""7.1. Estimates for Radon-Nikodym derivatives""; ""7.2. Comparisons with complete Poissonization""; ""Chapter 8. Convergence of the Discrete Generation System""; ""8.1. Outline of the proof""; ""8.2. The convergence theorem""; ""Appendix A. Results Cited in the Text""; ""A.1. Gronwallâ€?s Inequality""; ""A.2. Two expectation approximations""; ""A.3. Identities for Poisson random measures""; ""A.4. Bounds for Poisson random measures""; ""A.5. Bounds for Radon-Nikodym derivatives""""Bibliography""; ""Index""; ""Glossary of Notation""