Spatial Fleming-Viot Models with Selection and Mutation
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.
Customer Reviews
ThriftBooks ® and the ThriftBooks ® logo are registered trademarks of Thrift Books Global, LLC
