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020			_a9780821895115 _q(electronic bk.)
020			_z9780821875698
035			_a(MiAaPQ)EBC3114412
035			_a(Au-PeEL)EBL3114412
035			_a(CaPaEBR)ebr11041190
035			_a(OCoLC)922964923
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQH390 -- .E936 2012eb
082	0		_a572.8/38
100	1		_aEvans, Steven N.
245	1	0	_aMutation-Selection Model with Recombination for General Genotypes.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2013.
264		4	_c©2012.
300			_a1 online resource (142 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.222
505	0		_aIntro -- 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 -- 2.5. Density form of the dynamical system -- 2.6. Mutation measures with infinite total mass -- Chapter 3. Equilibria -- 3.1. Introductory example: One-dimensional systems -- 3.2. Introductory example: Multiplicative selective costs -- 3.3. Fréchet 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.
505	8		_a7.2. 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aEvolutionary genetics.
650		0	_aMutation (Biology).
650		0	_aGenetic recombination.
655		4	_aElectronic books.
700	1		_aSteinsaltz, David.
700	1		_aWachter, Kenneth W.
776	0	8	_iPrint version: _aEvans, Steven N. _tMutation-Selection Model with Recombination for General Genotypes _dProvidence : American Mathematical Society,c2013 _z9780821875698
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114412 _zClick to View
999			_c69907 _d69907