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Information Geometry and Population Genetics

Name: Information Geometry and Population Genetics
Brand: Springer International Publishing AG
SKU: 20093813
Price: 110.89 EUR
Availability: InStock
Author: Julian Hofrichter
ISBN: 9783319848051

The Mathematical Structure of the Wright-Fisher Model

Julian Hofrichter

Jurgen Jost

Tat Dat Tran

Lingua

Inglese

Libro In brossura

Codice Libristo: 20093813

Casa editrice Springer International Publishing AG, luglio 2018

The present monograph develops a versatile and profound mathematical perspective of the Wright--Fish... Descrizione completa

Codice Libristo: 20093813

271 b

110.89 €

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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.