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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Abstract

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
URI:	https://dair.dias.ie/id/eprint/431

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