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

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.

MSC:

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