A transformation of Markov jump processes and applications in genetic study
Xian Chen Zhi-Ming Ma
Discrete & Continuous Dynamical Systems - A 2014, 34(12): 5061-5084 doi: 10.3934/dcds.2014.34.5061
In this paper we provide a verifiable necessary and sufficient condition for a regular q-process to be again a q-process under a transformation of state space. The result as well as some other results on continuous states Markov jump processes is employed to investigate jump processes arising from the study in modeling genetic coalescent with recombination.
keywords: Markov jump process $\psi$-transform q-consistency q-process coalescent with recombination.

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