Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model
Author:   Julian Hofrichter ,  Jürgen Jost ,  Tat Dat Tran
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
ISBN:  

9783319520445


Pages:   320
Publication Date:   06 March 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model


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Author:   Julian Hofrichter ,  Jürgen Jost ,  Tat Dat Tran
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.799kg
ISBN:  

9783319520445


ISBN 10:   331952044
Pages:   320
Publication Date:   06 March 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Introduction.- 2. The Wright–Fisher model.- 3. Geometric structures and information geometry.- 4. Continuous approximations.- 5. Recombination.- 6. Moment generating and free energy functionals.- 7. Large deviation theory.-  8. The forward equation.- 9. The backward equation.- 10.Applications.- Appendix.- A. Hypergeometric functions and their generalizations.- Bibliography.

Reviews

Information Geometry and Population Genetics masterfully explores the stochastic dynamics of the progressive distribution of alleles over generations through a geometric perspective on the traditional Wright-Fisher model. ... The present book is a useful piece of literature for applied biologists with a fair understanding of calculus, who are looking toward the exploration of new dimensions in research on genetic evolution. (Ranjita Pandey, Canadian Studies in Population, Vol. 45 (1-2), 2018)


Author Information

J. Jost: Studies of mathematics, physics, economics and philosophy; PhD and habilitation in mathematics (University of Bonn); professor for mathematics at Ruhr-University Bonn; since 1996 director at the MPI for Mathematics in the Sciences, Leipzig, and honorary professor at the University of Leipzig; external faculty member of the Santa Fe Institute J. Hofrichter: Studies of mathematics and physics in Heidelberg, Granada and Muenster/Westph., diploma in mathematics; graduate studies in mathematics in Leipzig, PhD 2014; postdoctoral researcher at the MPI for Mathematics in the Sciences, Leipzig T. D. Tran: Studies of mathematics in Hanoi (Vietnam), bachelor and master degree in mathematics; graduate studies in mathematics in Leipzig, PhD 2012; postdoctoral researcher at the MPI for Mathematics in the Sciences, Leipzig

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