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 incrementsNature: Exposition,
Original additions
Retrieve article from Numdam
IV: 13, 151-161, LNM 124 (1970)
MAISONNEUVE, Bernard;
MORANDO, Philippe
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
412Keywords: Renewal theory,
Regenerative sets,
Local timesNature: Original Retrieve article from Numdam
