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Contents of PMS, Vol. 15, Fasc. ,
pages 291 - 300
 

ÉLÉMENTS D’ANALYSE DES CHAOS GAUSSIENS

X. Fernique

Abstract: We extend a classical property of the gaussian random functions to the gaussian chaoses of order two: Let X be a gaussian real chaos of order two on a metrizable compact set T; assume X is a.s. continuous in T ; then X has a modification with continuous paths. To prove this property, we adapt the tool of the numerical oscillations [7] of the gaussian random vector-valued functions.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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