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

Hofrichter, Julian; Jost, Jürgen; Tran, Tat Dat

 
9783319848051: Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model
Couverture souple
ISBN 10 : 3319848054 ISBN 13 : 9783319848051
Editeur : Springer, 2018

Synopsis

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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À propos de l'auteur

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


Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2018
Langue
anglais
ISBN 10 
3319848054
ISBN 13 
9783319848051
Reliure
Broché
Nombre de pages
332
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783319520445: Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model

Edition présentée

ISBN 10 :  331952044X ISBN 13 :  9783319520445
Editeur : Springer International Publishin..., 2017
Couverture rigide