03855nam 2200625 450 991048050710332120180731044450.00-8218-9511-7(CKB)3780000000000125(EBL)3114412(SSID)ssj0000889084(PQKBManifestationID)11566325(PQKBTitleCode)TC0000889084(PQKBWorkID)10881939(PQKB)10694146(MiAaPQ)EBC3114412(PPN)195408284(EXLCZ)99378000000000012520150416h20122012 uy 0engur|n|---|||||txtccrA mutation-selection model with recombination for general genotypes /Steven N. Evans, David Steinsaltz, Kenneth W. WachterProvidence, Rhode Island :American Mathematical Society,2012.©20121 online resource (128 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 222, Number 1044"March 2013, Volume 222, Number 1044 (third of 5 numbers)."0-8218-7569-8 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 222, Number 1044.Evolutionary geneticsMutation (Biology)Genetic recombinationElectronic books.Evolutionary genetics.Mutation (Biology)Genetic recombination.572.8/38Evans Steven N(Steven Neil),314671Steinsaltz David1966-Wachter Kenneth W.MiAaPQMiAaPQMiAaPQBOOK9910480507103321A mutation-selection model with recombination for general genotypes2008358UNINA