Regular transition functions and regular superprocesses

Author:

Dynkin E. B.

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 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 p is regular, then the Dawson-Watanabe and the Fleming-Viot supertransition functions over p p belong to the same class.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

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1. Almost sure convergence of measure-valued branching processes: a critical exponent;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1994

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