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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 measures

Nature: Original

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Un résultat sur les résolvantes de Ray (Markov processes)

This is a complement to the authors' paper on Ray processes in

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

Keywords: Ray compactification, Weak convergence of measures

Nature: Original

Retrieve article from Numdam