Geodesic
Some asymptotic formulas for the Bogoliubov Gaussian measure
Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 2, pp. 286-308 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider problems of integrating over the Bogoliubov measure in the space of continuous functions and obtain asymptotic formulas for one class of Laplace-type functional integrals with respect to the Bogoliubov measure. We also prove related asymptotic results concerning large deviations for the Bogoliubov measure. For the basic functional, we take the $L^p$ norm and establish that the Bogoliubov trajectories are Hölder-continuous of order $\gamma<1/2$.
Keywords: Bogoliubov measure, Laplace method in a Banach space. 
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V. R. Fatalov. Some asymptotic formulas for the Bogoliubov Gaussian measure. Teoretičeskaâ i matematičeskaâ fizika, Tome 157 (2008) no. 2, pp. 286-308. http://geodesic.mathdoc.fr/item/TMF_2008_157_2_a8/

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