Information geometry and population genetics : the mathematical structure of the Wright-Fisher model / Julian Hofrichter, Jürgen Jost, Tat Dat Tran.
2017
QH455
Linked e-resources
Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
Information geometry and population genetics : the mathematical structure of the Wright-Fisher model / Julian Hofrichter, Jürgen Jost, Tat Dat Tran.
Author
Hofrichter, Julian.
ISBN
9783319520452 (electronic book)
3319520458 (electronic book)
9783319520445
331952044X
3319520458 (electronic book)
9783319520445
331952044X
Publication Details
Cham : Springer, 2017.
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-319-52045-2 doi
Call Number
QH455
Dewey Decimal Classification
576.5/8015118
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and indexes.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Description based on print version record.
Added Author
Jost, Jürgen, 1956-
Tran, Tat Dat.
Tran, Tat Dat.
Series
Springer complexity.
Understanding complex systems.
Understanding complex systems.
Available in Other Form
Print version: 9783319520445
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources
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.
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.