A Large Deviation Principle (LDP) for the free energy of random Gibbs measures is proved, in the form of a general LDP for random log-Laplace integrals. The principle is then applied to an extended version of the Random Energy Model (REM). The rate of exponential decay for the classical REM is stronger than the known concentration exponent, and probabilities of negative deviations are super-exponentially small.
A Large Deviation Principle for the free energy of random Gibbs measures with application to the REM / Fedrigo, M; Flandoli, F; Morandin, Francesco. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 186:(2007), pp. 381-417. [10.1007/s10231-006-0011-4]
A Large Deviation Principle for the free energy of random Gibbs measures with application to the REM
MORANDIN, Francesco
2007-01-01
Abstract
A Large Deviation Principle (LDP) for the free energy of random Gibbs measures is proved, in the form of a general LDP for random log-Laplace integrals. The principle is then applied to an extended version of the Random Energy Model (REM). The rate of exponential decay for the classical REM is stronger than the known concentration exponent, and probabilities of negative deviations are super-exponentially small.| File | Dimensione | Formato | |
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