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This article is cited in 11 scientific papers (total in 11 papers)
Asymptotics of small deviations of the Bogoliubov processes with respect to a quadratic norm
R. S. Pusev St. Petersburg State University, St. Petersburg,
Old Petershoff, Russia
Abstract:
We obtain results on small deviations of Bogoliubov's Gaussian measure occurring in the theory of the statistical equilibrium of quantum systems. For some random processes related to Bogoliubov processes, we find the exact asymptotic probability of their small deviations with respect to a Hilbert norm.
Keywords:
Bogoliubov measure, small deviation.
Received: 24.03.2010 Revised: 26.04.2010
Citation:
R. S. Pusev, “Asymptotics of small deviations of the Bogoliubov processes with respect to a quadratic norm”, TMF, 165:1 (2010), 134–144; Theoret. and Math. Phys., 165:1 (2010), 1348–1357
Linking options:
https://www.mathnet.ru/eng/tmf6567https://doi.org/10.4213/tmf6567 https://www.mathnet.ru/eng/tmf/v165/i1/p134
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Abstract page: | 590 | Full-text PDF : | 208 | References: | 102 | First page: | 8 |
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