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Mathematical Structures in Population Genetics (Biomathematics) |  | Author: Yuri I. Lyubich
Creators: Ethan Akin, D. Vulis, A. Karpov
Publisher: Springer
Category: Book
List Price: $160.00
Buy New: $128.50
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Seller: profnath
Sales Rank: 3271170
Media: Hardcover
Edition: 1
Pages: 373
Number Of Items: 1
ISBN: 3540533370
EAN: 9783540533375
ASIN: 3540533370
Publication Date: February 27, 1992
Availability: Usually ships in 1-2 business days
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Product Description
In 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.
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