Large Deviations and the Random Energy Model

Dorlas, T. C. and Wedagedera, J. R. (2000) Large Deviations and the Random Energy Model. (Preprint)

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We present a simple proof of the formula for the free energy of the random-energy model using a large deviation property which holds almost surely with respect to the randomness. This proof is extended to the case with external magnetic field leading to the solution of a model with higher-order ferromagnetic term. It is shown that this model is useful for Sourlas' application to error-correcting codes as was already pointed out in a recent letter by the authors.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 13 Jun 2018 12:42
Last Modified: 17 Dec 2022 10:10

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