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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 165, Number 1, Pages 134–144
DOI: https://doi.org/10.4213/tmf6567 (Mi tmf6567) 		 
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
Full-text PDF (439 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf6567
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
English version:
Theoretical and Mathematical Physics, 2010, Volume 165, Issue 1, Pages 1348–1357
DOI: https://doi.org/10.1007/s11232-010-0113-4
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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