Geodesic
Asymptotics of small deviations of the~Bogoliubov processes with respect to a~quadratic norm
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 1, pp. 134-144

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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. 
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     title = {Asymptotics of small deviations of {the~Bogoliubov} processes with respect to a~quadratic norm},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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R. S. Pusev. Asymptotics of small deviations of the~Bogoliubov processes with respect to a~quadratic norm. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 1, pp. 134-144. http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a7/