FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1996, VOLUME 2, NUMBER 1, PAGES 187-204

Rice method for Gaussian random fields

V. I. Piterbarg

Abstract

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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.

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