Regular transition functions and regular superprocesses

Dynkin, E. B.

doi:10.1090/S0002-9947-1989-0951884-X

Regular transition functions and regular superprocesses
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by E. B. Dynkin PDF

Trans. Amer. Math. Soc. 316 (1989), 623-634 Request permission

Abstract:

The class of regular Markov processes is very close to the class of right processes studied by Meyer, Getoor and others. We say that a transition function $p$ is regular if it is the transition function of a well-defined regular Markov process. A characterization of regular transition functions is given which implies that, if $p$ is regular, then the Dawson-Watanabe and the Fleming-Viot supertransition functions over $p$ belong to the same class.

References

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Topology

Nonhomogeneous Markov processes

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General theory of Markov processes

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