Discrete-time evolution in recombination

Abstract: We study the discrete-time evolution of a recombination transformation in population genetics acting on the set of measures on genetic sequences. The evolution can be described by a Markov chain on the set of partitions that converges to the finest partition. We describe the geometric decay rate to the limit and the quasi-stationary behavior when conditioned that the chain has not hit the limit.

analysis of PDEscombinatoricsprobability

Audience: researchers in the topic

Probability and Stochastic Analysis at Tecnico Lisboa

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