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.

引用

页码：1606 / 1625

页数：20

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