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Information Geometry and Population Genetics

The Mathematical Structure of the Wright-Fisher Model

Jezik EngleskiEngleski
Knjiga Meki uvez
Knjiga Information Geometry and Population Genetics Julian Hofrichter
Libristo kod: 20093813
Nakladnici Springer International Publishing AG, srpanj 2018
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fish... Cijeli opis
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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.

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Informacije o knjizi

Puni naziv Information Geometry and Population Genetics
Jezik Engleski
Uvez Knjiga - Meki uvez
Datum izdanja 2018
Broj stranica 320
EAN 9783319848051
Libristo kod 20093813
Težina 5037
Dimenzije 155 x 235 x 19
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