Asymptotic behavior of small deviations for Bogoliubov's Gaussian measure in the \(L^{p}\) norm, \(2 \leq p \leq \infty\)

DOI10.1007/s11232-012-0143-1zbMath1294.60060OpenAlexW2505597973MaRDI QIDQ393991

V. R. Fatalov

Publication date: 24 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-012-0143-1

zbMATH Keywords

small deviationBogoliubov measureconditional Wiener measure

Mathematics Subject Classification ID

Gaussian processes (60G15)

Related Items (1)

Gaussian Ornstein-Uhlenbeck and Bogoliubov processes: asymptotics of small deviations for \( L^{p}\)-functionals, \(0<p<\infty\)

Cites Work

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• Lectures on Gaussian Processes
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• Constants in the asymptotics of small deviation probabilities for Gaussian processes and fields
• The Laplace method for small deviations of Gaussian processes of Wiener type
• Some properties of functional integrals with respect to the Bogoliubov measure
• Metric properties of Bogoliubov trajectories in statistical equilibrium theory

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