Recent progress in coalescent theory

Details Recent progress in coalescent theory Recent progress in coalescent theory

2009-09-22

arxiv.org/abs/0909.3985v1

Mathematics

Probability

Lecture notes, to appaear in the collection "Ensaios Matematicos". 17 figures

Scientific paper

Coalescent theory is the study of random processes where particles may join each other to form clusters as time evolves. These notes provide an introduction to some aspects of the mathematics of coalescent processes and their applications to theoretical population genetics and other fields such as spin glass models. The emphasis is on recent work concerning in particular the connection of these processes to continuum random trees and spatial models such as coalescing random walks.

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