Information Geometry and Population Genetics - The Mathematical Structure of the Wright-Fisher Model (Hardcover, 1st ed. 2017)

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 Amari's and Chentsov's 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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Understanding Complex Systems
Release date:	March 2017
First published:	2017
Authors:	Julian Hofrichter • Jurgen Jost • Tat Dat Tran
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Hardcover
Pages:	320
Edition:	1st ed. 2017
ISBN-13:	978-3-319-52044-5
Categories:	Books > Medicine > Pre-clinical medicine: basic sciences > Medical genetics Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Geometry > General Promotions
LSN:	3-319-52044-X
Barcode:	9783319520445

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