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

• Κύριοι συγγραφείς: Hofrichter, Julian (Συγγραφέας), Jost, Jürgen (Συγγραφέας), Tran, Tat Dat (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Understanding Complex Systems,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.