Free Book Online
Book Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model (Understanding Complex Systems)

Pdf

Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model (Understanding Complex Systems)

3.2 (2715)

Log in to rate this item

    Available in PDF - DJVU Format | Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model (Understanding Complex Systems).pdf | Language: ENGLISH
    Julian Hofrichter(Author) Jürgen Jost(Author) Tat Dat Tran(Author)

    Book details


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.

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.

3.4 (10804)
  • Pdf

*An electronic version of a printed book that can be read on a computer or handheld device designed specifically for this purpose.

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch.
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes

Book details

Read online or download a free book: Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model (Understanding Complex Systems)

 

Review Text


Name:
Email*:
The message text*: