Stochastic Processes in Mathematical Population Genetics Diffusion Processes, Coalescent Trees and Gene Trees Chapman & Hall/CRC Mathematical Biology Series

There is a great deal of interest in population genetics in the applied probability and mathematical biology communities. This book provides an overview of applied probability methods in mathematical population genetics. It presents various techniques in a unified mathematical framework, covering evolutionary models, diffusion processes, coalescent theory, gene trees, ancestral inference and more. The methods are illustrated through real examples, and there are some exercises to enable the book to be used for teaching at graduate and postgraduate levels.

Introduction. Evolutionary Models in Mathematical Genetics. Introduction to Diffusion Theory in Population Genetics. The Lambda and Xi Coalescent Processes. Dual Processes in Population Genetics: Looking Back in Time. Inference Using Dual Processes and Importance Sampling.

Robert C. Griffiths is professor of mathematical genetics at the University of Oxford in the UK. He is recognized as the leading authority in mathematical population genetics.