Homogeneous random measures for Markov processes in weak duality: Study via an entrance boundary (Q1106559)

This paper cannot be isolated from a rather long list of articles devoted to the study of a pair of Markov processes in weak duality with respect to an excessive measure, by means of their associated Kuznetsov (-Mitro) stationary process. On this subject the paper contributes several interesting results, the simplest to state here concerning the way the pair transforms under a change of time given by a pair of dual, continuous additive functionals: the resulting pair is in weak duality with respect to the Revuz measure of the additive functionals. An essential tool in this paper is a Ray-Knight compactification due to \textit{R. K. Getoor} and \textit{J. Glover} [Trans. Am. Math. Soc. 285, 107- 132 (1984; Zbl 0547.60076)].