English

A probabilistic analysis of a discrete-time evolution in recombination

Probability 2016-03-24 v1

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.

Keywords

Cite

@article{arxiv.1603.07201,
  title  = {A probabilistic analysis of a discrete-time evolution in recombination},
  author = {Servet Martinez},
  journal= {arXiv preprint arXiv:1603.07201},
  year   = {2016}
}

Comments

32 pages

R2 v1 2026-06-22T13:17:04.710Z