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OverviewIn the theory of population genetics, fundamental results on its dynamical processes and equilibrium laws have emerged during the last few decades. This monograph systematically reviews these developments, beginning from elementary examples and explanations. Mathematically, the main emphasis of the book is the investigation of iterations of a quadratic or fractional quadratic operator in the simplex. By the use of some non-associative algebra, many results can be obtained in explicit form eg. the explicit description (Bernstein problem) of stationary quadratic operators, and the explicit solutions of a nonlinear evolutionary equation in the absence of selection, as well as general theorems on convergence to equilibrium in the presence of selection. Some of the algebraic theory used is interesting for its own sake. The reader can use this book either to obtain a thorough and comprehensive coverage of the present state of knowledge of the subject, and to learn new methods from it, or else to obtain an elementary introduction to the field. Full Product DetailsAuthor: Yurii I. Lyubich , Ethan Akin , D. Vulis , A. KarpovPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Volume: v. 22 Weight: 0.720kg ISBN: 9783540533375ISBN 10: 3540533370 Pages: 383 Publication Date: 16 March 1992 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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