Approximation du temps local des champs aléatoires gaussiens stationnaires par régularisation des trajectoires
Résumé
Let (X(t), (t \in Rd) be a stationary gausslan field. We are Iooking for the (d-1)-dimensional area mensure of the intersection with zero level of the field regularized by convolution. Under some conditions and with an appropriated normalization, this measure converges in $L^2$ towards a limit which is the local time, when $X$ admits a çontinuous local time.
Domaines
Probabilités [math.PR]
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