VI: 16, 168-172, LNM 258 (1972)
MEYER, Paul-André;
WALSH, John B.
Un résultat sur les résolvantes de Ray (
Markov processes)
This is a complement to the authors' paper on Ray processes in
Invent. Math., 14, 1971: a lemma is proved on the existence of many martingales which are continuous whenever the process is continuous (a wrong reference for it was given in the paper). Then it is shown that the mapping $x\rightarrow P_x$ is continuous in the weak topology of measures, when the path space is given the topology of convergence in measure. Note that a correction is mentioned on the errata page of vol. VII
Comment: The idea of using the topology of convergence in measure on a path space turned out to be a fruitful idea; see Meyer and Zheng
Ann. Inst. Henri Poincaré 20, 1984
Keywords: Ray compactification,
Weak convergence of measuresNature: Original
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