Functional integrals for the Bogoliubov Gaussian measure: exact asymptotic forms

DOI10.1134/S004057791805001XzbMath1401.82006OpenAlexW2805878358MaRDI QIDQ1794492

V. R. Fatalov

Publication date: 15 October 2018

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

Full work available at URL: https://doi.org/10.1134/s004057791805001x

zbMATH Keywords

Bogoliubov measurealmost surely continuous Gaussian processLaplace method in a functional Hilbert spacemanifold of minimum values

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Large deviations (60F10) Quantum equilibrium statistical mechanics (general) (82B10)

Cites Work

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• Asymptotic Analysis of Gaussian Integrals. I. Isolated Minimum Points
• The Laplace method for probability measures in Banach spaces
• Some properties of functional integrals with respect to the Bogoliubov measure

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