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

• Main Authors: Hofrichter, Julian (Author), Jost, Jürgen (Author), Tran, Tat Dat (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Understanding Complex Systems,
• Subjects: Mathematics.; Human genetics.; Mathematical analysis.; Analysis (Mathematics).; Geometry.; Probabilities.; Biomathematics.; Statistics.; Mathematical and Computational Biology.; Statistical Theory and Methods.; Human Genetics.; Analysis.; Probability Theory and Stochastic Processes.

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 appro...

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.