عنوان

Spatial Fleming-Viot Models with Selection and Mutatio

شابک

9783319021539

کد کشور

IR

شماره

EN-52367

زبان متن نوشتاري يا گفتاري و مانند آن

انگلیسی

کشور محل نشر

IR

عنوان اصلي

Spatial Fleming-Viot Models with Selection and Mutatio

نام عام مواد

[Book]

نام نخستين پديدآور

/ by Donald A. Dawson, Andreas Greven

محل نشرو پخش و غیره

Cham

نام ناشر، پخش کننده و غيره

: Springer International Publishing :Imprint: Springer,

تاریخ نشرو بخش و غیره

, 2014.

نام خاص و کميت اثر

XVII, 856 p. 1 illus., online resource.

عنوان فروست

(Lecture Notes in Mathematics,0075-8434

مشخصه جلد

; 2092)

متن يادداشت

Electronic

متن يادداشت

This book constructs a rigorous framework for analysing selected phenomena in evolutionary theory of populations arising due to the combined effects of migration, selection and mutation in a spatial stochastic population model, namely the evolution towards fitter and fitter types through punctuated equilibria. The discussion is based on a number of new methods, in particular multiple scale analysis, nonlinear Markov processes and their entrance laws, atomic measure-valued evolutions and new forms of duality (for state-dependent mutation and multitype selection) which are used to prove ergodic theorems in this context and are applicable for many other questions and renormalization analysis for a variety of phenomena (stasis, punctuated equilibrium, failure of naive branching approximations, biodiversity) which occur due to the combination of rare mutation, mutation, resampling, migration and selection and make it necessary to mathematically bridge the gap (in the limit) between time and space scales.

متن يادداشت

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 [greater than or equal to] 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.?╗╣

عنوان

Lecture Notes in Mathematics,0075-8434

شماره جلد

2092

موضوع مستند نشده

Mathematics

موضوع مستند نشده

Evolution (Biology)

موضوع مستند نشده

Distribution (Probability theory)

موضوع مستند نشده

Electronic books

شماره رده

مستند نام اشخاص تاييد نشده

Dawson, Donald A.

مستند نام اشخاص تاييد نشده

Greven, Andreas

مستند نام اشخاص تاييد نشده

SpringerLink (Online service)

کشور

ایران

نام ميزبان

9783319021522.pdf

شماره دسترسي

عادی

اطلاعات مختصر

عادی

تاريخ و ساعت مذاکره و دسترسي

9783319021522.pdf

نوع فرمت الکترونيکي

متن

وضعیت فهرست نویسی

old catalog

فرمت انتشار

e

نوع ماده

BL

پیشوند ISBD اعمال شده است

1

سطح دسترسي

a

تكميل شده

Y