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Spatial Fleming-Viot Models with Selection and Mutation
Paperback
Series: Lecture Notes in Mathematics, Book 2092
EvolutionProbability & Statistics
ISBN13: 9783319021522
Publisher: Springer
Published: Dec 30 2013
Pages: 856
Weight: 2.92
Height: 1.95 Width: 6.14 Depth: 9.21
Language: English
Introduction.- Emergence and fixation in the F-W model with two types.- Formulation of the multitype and multiscale model.- Formulation of the main results in the general case.- A Basic Tool: Dual Representations.- Long-time behaviour: ergodicity and non-ergodicity.- Mean-field emergence and fixation of rare mutants (Phase 1,2).- Methods and proofs for the F-W model with two types.- Emergence, fixation with M >= 2 lower order types.- Emergence, fixation: The general (M, M)-type mean-field model.- Neutral evolution on E1 after fixation (Phase 3).- Re-equilibration on higher level E1 (Phase 4).- Iteration of the cycle I: Emergence and fixation on E2.- Iteration of the cycle - the general multilevel hierarchy.- Winding-up: Proofs of the Theorems 3-11.- Appendix 1 - Tightness.- Appendix 2. Nonlinear semigroup perturbations.- References.- Index of Notation and Tables of Basic Objects.- Index.
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