{ "item_title" : "Spatial Fleming-Viot Models with Selection and Mutation", "item_author" : [" Donald A. Dawson", "Andreas Greven "], "item_description" : "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 E 1 after fixation (Phase 3).- Re-equilibration on higher level E 1 (Phase 4).- Iteration of the cycle I: Emergence and fixation on E 2 .- 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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/31/902/152/3319021524_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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