Information Geometry and Population Genetics : The Mathematical Structure of ...

Description: Information Geometry and Population Genetics : The Mathematical Structure of the Wright-Fisher Model, Hardcover by Hofrichter, Julian; Jost, Jurgen; Tran, Tat Dat, ISBN 331952044X, ISBN-13 9783319520445, Like New Used, Free shipping in the US

The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amaris and Chentsovs information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.

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Book Title: Information Geometry and Population Genetics : The Mathematical S

Number of Pages: Xii, 320 Pages

Language: English

Publication Name: Information Geometry and Population Genetics : the Mathematical Structure of the Wright-Fisher Model

Publisher: Springer International Publishing A&G

Subject: Geometry / General, Probability & Statistics / General, Genetics, Applied

Publication Year: 2017

Item Weight: 28.2 Oz

Type: Textbook

Author: Julian Hofrichter, Juergen Jost, Tat Dat Tran

Subject Area: Mathematics, Medical

Item Length: 9.3 in

Item Width: 6.1 in

Series: Understanding Complex Systems Ser.

Format: Hardcover