Information Geometry and Population Genetics

Information Geometry and Population Genetics

The Mathematical Structure of the Wright-Fisher Model

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

Springer International Publishing AG

07/2018

320

Mole

Inglês

9783319848051

15 a 20 dias

5037

Descrição não disponível.
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.
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35K75 60J25 60F10 92D25;35K20 35J70 60J70 53C99;information geometry;population genetics;Wright-Fisher model;Kolmogorov equations;free energy functional;multiallele/multilocus model