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Fundamentalnaya i Prikladnaya Matematika, 1996, Volume 2, Issue 1, Pages 187–204 (Mi fpm140)  
This article is cited in 12 scientific papers (total in 12 papers)

Rice method for Gaussian random fields

V. I. Piterbarg

M. V. Lomonosov Moscow State University
Full-text PDF (696 kB) Citations (12)
Abstract: 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.
Received: 01.10.1995
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: V. I. Piterbarg, “Rice method for Gaussian random fields”, Fundam. Prikl. Mat., 2:1 (1996), 187–204
Citation in format AMSBIB
\Bibitem{Pit96}
\by V.~I.~Piterbarg
\paper Rice method for Gaussian random fields
\jour Fundam. Prikl. Mat.
\yr 1996
\vol 2
\issue 1
\pages 187--204
\mathnet{http://mi.mathnet.ru/fpm140}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1789005}
\zmath{https://zbmath.org/?q=an:0903.60029}
Linking options:
  • https://www.mathnet.ru/eng/fpm140
  • https://www.mathnet.ru/eng/fpm/v2/i1/p187
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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