Rice method for Gaussian random fields
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 187-204.

Voir la notice de l'article provenant de la source Math-Net.Ru

Upper estimates for the second factorial moment of the number of stationary points of paths of a Gaussian random field which are placed above some level have been obtained. Several concequences from them are given, that are superexponentially exact asymptotics of large excursions probabilities for Gaussian smooth fields.
@article{FPM_1996_2_1_a9,
     author = {V. I. Piterbarg},
     title = {Rice method for {Gaussian} random fields},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {187--204},
     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a9/}
}
TY  - JOUR
AU  - V. I. Piterbarg
TI  - Rice method for Gaussian random fields
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1996
SP  - 187
EP  - 204
VL  - 2
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a9/
LA  - ru
ID  - FPM_1996_2_1_a9
ER  - 
%0 Journal Article
%A V. I. Piterbarg
%T Rice method for Gaussian random fields
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1996
%P 187-204
%V 2
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a9/
%G ru
%F FPM_1996_2_1_a9
V. I. Piterbarg. Rice method for Gaussian random fields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 187-204. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a9/