Mathematical structures in population genetics
著者
書誌事項
Mathematical structures in population genetics
（Biomathematics, v. 22）
Springer-Verlag, c1992
- : gw
- : us
- タイトル別名
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Matematicheskie struktury v populi︠a︡t︠s︡ionnoĭ genetike
Matematicheskie struktury v populi︠a︡t︠s︡ionnoĭ genetike. English
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注記
"Original Russian edition entitled 'Matematicheskie struktury v populyatsionnoi genetike' published by Naukova Dumka, Kiev, 1983" -- T.p. verso
Includes bibliographical references (p. 360-370) and index
内容説明・目次
内容説明
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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