学术科研-数学大讲堂

Continuous states q-processes and applications in the study of coalescent with recombination

In this talk I will present some new results on the transformation of Markov jump process and their applications in the study of coalescent with recombination. More specifically, we provide a verifiable necessary and sufficient condition for a regular q-process to be again a regular q-process under a transform of state space. Applying this result as well as some other results on continuous states q-processes, we rigorously prove that the statistical properties of the two classes of simulation models widely used in the study of coalescent with recombination are identical. That is, they share the same probability distribution on the space of ancestral recombination graphs (ARGs).