SOME ASYMPTOTIC FORMULAS FOR THE BOGOLIUBOV GAUSSIAN MEASURE

被引：3
|
作者：
Fatalov, V. R. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2008年 / 157卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Bogoliubov measure; Laplace method in a Banach space;
D O I：
10.1007/s11232-008-0133-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 Holder-continuous of order gamma < 1/2.
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页码：1606 / 1625
页数：20
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