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A mutation-selection model with recombination for general genotypes / / Steven N. Evans, David Steinsaltz, Kenneth W. Wachter
| A mutation-selection model with recombination for general genotypes / / Steven N. Evans, David Steinsaltz, Kenneth W. Wachter |
| Autore | Evans Steven N (Steven Neil) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (128 p.) |
| Disciplina | 572.8/38 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Evolutionary genetics
Mutation (Biology) Genetic recombination |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9511-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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. Gronwall�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"" |
| Record Nr. | UNINA-9910480507103321 |
Evans Steven N (Steven Neil)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A mutation-selection model with recombination for general genotypes / / Steven N. Evans, David Steinsaltz, Kenneth W. Wachter
| A mutation-selection model with recombination for general genotypes / / Steven N. Evans, David Steinsaltz, Kenneth W. Wachter |
| Autore | Evans Steven N (Steven Neil) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (128 p.) |
| Disciplina | 572.8/38 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Evolutionary genetics
Mutation (Biology) Genetic recombination |
| ISBN | 0-8218-9511-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 -- Chapter 3. Equilibria -- 3.1. Introductory example: One-dimensional systems -- 3.2. Introductory example: Multiplicative selective costs -- 3.3. Frechet derivatives -- 3.4. Existence of equilibria via perturbation -- 3.5. Concave selective costs -- 3.6. Concave selective costs: Existence and stability of equilibria -- 3.7. Iterative computation of the minimal equilibrium -- 3.8. Stable equilibria in the concave setting via perturbation -- 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. Gronwall'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. |
| Record Nr. | UNINA-9910796029403321 |
|
Evans Steven N (Steven Neil)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A mutation-selection model with recombination for general genotypes / / Steven N. Evans, David Steinsaltz, Kenneth W. Wachter
| A mutation-selection model with recombination for general genotypes / / Steven N. Evans, David Steinsaltz, Kenneth W. Wachter |
| Autore | Evans Steven N (Steven Neil) |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (128 p.) |
| Disciplina | 572.8/38 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Evolutionary genetics
Mutation (Biology) Genetic recombination |
| ISBN | 0-8218-9511-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 -- Chapter 3. Equilibria -- 3.1. Introductory example: One-dimensional systems -- 3.2. Introductory example: Multiplicative selective costs -- 3.3. Frechet derivatives -- 3.4. Existence of equilibria via perturbation -- 3.5. Concave selective costs -- 3.6. Concave selective costs: Existence and stability of equilibria -- 3.7. Iterative computation of the minimal equilibrium -- 3.8. Stable equilibria in the concave setting via perturbation -- 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. Gronwall'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. |
| Record Nr. | UNINA-9910828116803321 |
|
Evans Steven N (Steven Neil)
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||