A probabilistic analysis of a discrete-time evolution in recombination

2016/03/23 by Servet Martinez, Martinez, Servet
Mathematics · #60J10 #92D10 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60J10 #msc:92D10

paper · pdf · doi:10.48550/arxiv.1603.07201

32 pages

arxiv created 2016/03/23 · arxiv updated 2016/03/24

Abstract

We give a closed form of the discrete-time evolution of a recombination transformation in population genetics. This decomposition allows to define a Markov chain in a natural way. We describe the geometric decay rate to the limit distribution, and the quasi-stationary behavior when conditioned to the event that the chain does not hit the limit distribution.

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