THE LARGE DEVIATION PRINCIPLE FOR MEASURES WITH RANDOM WEIGHTS

被引：2

作者：

ELLIS, RS

GOUGH, J

PULE, JV

机构：

[1] UNIV COLL DUBLIN,DEPT MATH PHYS,DUBLIN 4,DUBLIN,IRELAND

[2] DUBLIN INST ADV STUDIES,SCH THEORET PHYS,DUBLIN 4,IRELAND

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 1993年 / 5卷 / 04期

关键词：

D O I：

10.1142/S0129055X93000206

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the problem of large deviations for measures with random weights. We are motivated by previous work dealing with the special case occuring in the statistical mechanics of the Bose gas. We study the problem in an abstract setting, isolating what is general from what is dependent on Bose statistics. We succeed in proving the large deviation principle for a large class of measures with random weights and obtaining the corresponding rate function in an explicit form. In particular, our results are applicable to the Fermi gas and the spherical model.

引用

页码：659 / 692

页数：34

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