The Large Deviation Principle for Measures with Random Weights

Ellis, R. S. and Gough, J. and Pulé, J. V. (1993) The Large Deviation Principle for Measures with Random Weights. (Preprint)

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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 occurring 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.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 14:11
Last Modified: 19 Jul 2018 09:37
URI: http://dair.dias.ie/id/eprint/717

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