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2 matches found
III: 15, 190-229, LNM 88 (1969)
MORANDO, Philippe
Mesures aléatoires (Independent increments)
This paper consists of two talks, on the construction and structure of measures with independent values on an abstract measurable space, inspired by papers of Prekopa (Acta Math. Acad. Sci. Hung., 7, 1956 and 8, 1957) and Kingman (Pacific J. Math., 21, 1967)
Comment: If the measurable space is not ``too'' abstract, it can be imbedded into the line, and the standard theory of Lévy processes (non-homogeneous) can be used. This simple remark reduces the interest of the general treatment: see Dellacherie-Meyer, Probabilités et potentiel, Chapter XIII, end of \S4
Keywords: Random measures, Independent increments
Nature: Exposition, Original additions
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IV: 13, 151-161, LNM 124 (1970)
Temps locaux pour les ensembles régénératifs (Markov processes)
This paper uses the results of the preceding one 412 to define and study the local time of a perfect regenerative set with empty interior (e.g. the set of zeros of Brownian motion), a continuous adapted increasing process whose set of points of increase is exactly the given set
Comment: Same references as the preceding paper 412
Keywords: Renewal theory, Regenerative sets, Local times
Nature: Original
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