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A probabilistic analysis of a continuous-time evolution in recombination. (arXiv:1810.07238v1 [math.PR])
来源于:arXiv
We study the continuous-time evolution of the recombination equation of
population genetics. This evolution is given by a differential equation that
acts on a product probability space, and its solution can be described by a
Markov chain on a set of partitions that converges to the finest partition. We
study an explicit form of the law of this process by using a family of trees.
We also describe the geometric decay rate to the finest partition and the
quasi-stationary behavior of the Markov chain when conditioned on the event
that the chain does not hit the limit. 查看全文>>