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Kniha Information Geometry and Population Genetics Julian Hofrichter

Information Geometry and Population Genetics

The Mathematical Structure of the Wright-Fisher Model

Autor: Julian Hofrichter, Jurgen Jost, Tat Dat Tran
Jazyk: Angličtina
Väzba: Brožovaná
Vydavateľ: Springer International Publishing AG
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-18 dní
98.67 €
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fish...

Informácie o knihe

Autor
Julian Hofrichter, Jurgen Jost, Tat Dat Tran
Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2018
Stránok
320
EAN
9783319848051
Enbook ID
20093813
Vydavateľ
Springer International Publishing AG
Hmotnosť
5037
Rozmery
155 x 235 x 19

Kompletný popis

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.

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