Spatial Fleming-Viot Models with Selection and Mutation
Springer International Publishing (Verlag)
978-3-319-02152-2 (ISBN)
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.
Erscheint lt. Verlag | 30.12.2013 |
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Reihe/Serie | Lecture Notes in Mathematics |
Zusatzinfo | XVII, 856 p. 1 illus. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 1318 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
Naturwissenschaften ► Biologie ► Evolution | |
Schlagworte | 60J70,92D15,92D25,60J80,60J85. • Dual processes • Emergence of rare mutants • Fleming-Viot processes • mutation-selection • Spatial migration |
ISBN-10 | 3-319-02152-4 / 3319021524 |
ISBN-13 | 978-3-319-02152-2 / 9783319021522 |
Zustand | Neuware |
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