Régularité de fonctions aléatoires gaussiennes à valeurs vectorielles. (Regularity of Gaussian random functions with vector values) (Q2639414)

This paper presents a simple condition guaranteeing that a Gaussian random function X on a metric space T with values in a Lusin topological vector space E has a modification with continuous paths. The result extends a previous result by the author, where X was assumed to be stationary or to have strong stationary increments. The proof is based on Talagrand's theorem about majorizing measures, which yields a bound for the law of the maximum on t of the norm of X in E.