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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Regular transition functions and regular superprocesses


Author: E. B. Dynkin
Journal: Trans. Amer. Math. Soc. 316 (1989), 623-634
MSC: Primary 60J25; Secondary 60J35
DOI: https://doi.org/10.1090/S0002-9947-1989-0951884-X
MathSciNet review: 951884
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1989-0951884-X
Keywords: Right processes, regularization of a Markov process, entrance laws, superprocesses, measure-valued Markov processes
Article copyright: © Copyright 1989 American Mathematical Society