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Open Access Green as soon as Postprint is submitted to ZB.
A large deviation principle for the free energy of random Gibbs measures with application to the REM.
Ann. Mat. Pura Appl. 186, 381-417 (2007)
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.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Free Energy ; Large Deviations ; Random Measure ; Rem
ISSN (print) / ISBN
0373-3114
e-ISSN
1618-1891
Quellenangaben
Volume: 186,
Issue: 3,
Pages: 381-417
Publisher
Springer
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)