APPROXIMATION DU TEMPS LOCAL DES CHAMPS ALÉATOIRES
GAUSSIENS STATIONNAIRES PAR REGULARISATION DES
TRAJECTOIRES
Abstract: Let
be a stationary gaussian field. We are looking for the
-dimensional area measure of the intersection with zero level of the field regularized
by convolution. Under some conditions and with an appropriated normalization, this measure
converges in
towards a limit which is the local time, when
admits a continuous local
time.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -