A probabilistic analysis of a discrete-time evolution in recombination |
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Affiliation: | Departamento Ingeniería Matemática and Centro Modelamiento Matemático, Universidad de Chile, UMI 2807 CNRS, Casilla 170-3, Correo 3, Santiago, Chile |
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Abstract: | We study the discrete-time evolution of a recombination transformation in population genetics. The transformation acts on a product probability space, and its evolution can be described by a Markov chain on a set of partitions that converges to the finest partition. We describe the geometric decay rate to this limit and the quasi-stationary behavior of the Markov chain when conditioned on the event that the chain does not hit the limit. |
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Keywords: | Population genetics Recombination Partitions Markov chain Geometric decay rate Quasi-stationary distributions |
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