On the accuracy of the normal approximation for the free energy in the Random Energy Model
Anselm Reichenbachs (Ruhr-Universität Bochum)
Abstract
In the present paper we consider the fluctuations of the free energy in the random energy model (REM) on a moderate deviation scale. We find that for high temperatures the normal approximation holds only in a narrow range of scalings away from the CLT. For scalings of higher order, probabilities of moderate deviations decay faster than exponentially.
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Pages: 1-11
Publication Date: February 12, 2013
DOI: 10.1214/ECP.v18-2377
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