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Contents of PMS, Vol. 12, Fasc. 2,
pages 201 - 215
 

APPROXIMATION DU TEMPS LOCAL DES CHAMPS ALÉATOIRES GAUSSIENS STATIONNAIRES PAR REGULARISATION DES TRAJECTOIRES

Corinne Berzin

Abstract: Let (X(t),t (- Rd) be a stationary gaussian field. We are looking for the (d- 1) -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 L2 towards a limit which is the local time, when X admits a continuous local time.

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

Key words and phrases: -

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