A probabilistic analysis of a discrete-time evolution in recombination
Author
dc.contributor.author
Martínez Aguilera, Servet
Admission date
dc.date.accessioned
2018-06-21T15:33:34Z
Available date
dc.date.available
2018-06-21T15:33:34Z
Publication date
dc.date.issued
2017
Cita de ítem
dc.identifier.citation
Advances in Applied Mathematics 91 (2017): 115–136
es_ES
Identifier
dc.identifier.other
http://dx.doi.org/10.1016/j.aam.2017.06.004
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/149118
Abstract
dc.description.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.