Régularité de fonctions aléatoires gaussiennes stationnaires. (Regularity of stationary Gaussian random functions)

DOI10.1007/BF01192555zbMath0722.60032OpenAlexW2911332185MaRDI QIDQ756255

Xavier Fernique

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192555

zbMATH Keywords

Ornstein-Uhlenbeck processstationary Gaussian random functions

Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17)

Related Items (3)

On almost sure limit inferior for \(B\)-valued stochastic processes and applications ⋮ Perturbed ergodic theorems ⋮ Random ergodic theorems and regularizing random weights

Cites Work

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• Sur la régularité de certaines fonctions aléatoires d'Ornstein- Uhlenbeck. (On the regularity of certain Ornstein-Uhlenbeck random processes)
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Fonctions aléatoires à valeurs dans les espaces lusiniens. (Random functions with values in Lusin spaces)
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
• Continuity and the central limit theorem for random trigonometric series
• [https://portal.mardi4nfdi.de/wiki/Publication:4176200 Continuit� et th�or�me central limite pour les transform�es de Fourier des mesures al�atoires du second ordre]

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