THE LARGE DEVIATION PRINCIPLE FOR MEASURES WITH RANDOM WEIGHTS
Publication Date
1993
Journal or Book Title
REVIEWS IN MATHEMATICAL PHYSICS
Abstract
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.
Pages
659-692
Volume
5
Issue
4
Recommended Citation
Ellis, RS; GOUGH, J; and PULE, JV, "THE LARGE DEVIATION PRINCIPLE FOR MEASURES WITH RANDOM WEIGHTS" (1993). REVIEWS IN MATHEMATICAL PHYSICS. 344.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/344
Comments
The published version is located at http://www.worldscinet.com/rmp/05/0504/S0129055X93000206.html