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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model

Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model

Hofrichter, Julian
Jost, Jürgen
Tran, Tat Dat

Paperback

Series: Understanding Complex Systems

Medical ReferenceGeneral MathematicsProbability & Statistics

ISBN10: 3319848054
ISBN13: 9783319848051
Publisher: Springer
Published: Jul 18 2018
Pages: 320
Weight: 1.03
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English

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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