Könyv Information Geometry and Population Genetics Julian Hofrichter

Information Geometry and Population Genetics

The Mathematical Structure of the Wright-Fisher Model

Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 10-18 napon belül
36 678 Ft
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fish...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2018
oldal
320
EAN
9783319848051
Enbook ID
20093813
Súly
5037
Méretek
155 x 235 x 19

Teljes leírás

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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