The large deviation principle for measures with random weights. (English) Zbl 0797.60027

Ellis, R. S.; Gough, J.; Pulé, J. V.

Rev. Math. Phys. 5, No. 4, 659-692 (1993).

The large deviation problem for measures with random weight is considered. The large deviation principle is proved for a large class of measures and the corresponding rate function is obtained. The results are applicable to the Fermi gas and the spherical model.

Reviewer: S.Ebralidze (Tbilisi)

MSC:

60F10	Large deviations
82B21	Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics

Keywords:

large deviation; Fermi gas; spherical model