Central Limit Theorems for the Free Energy of the Modified Gardner Model

M. Shcherbina, B. Tirozzi

2005, v.11, Issue 1, 133-144

ABSTRACT

Fluctuations of the free energy of the modified Gardner model for any $\alpha<\alpha_c$ are studied. It is proved that they converge in distribution to a Gaussian random variable.

Keywords: central limit theorem,Gardner problem

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Laboratory of large random systems, Dept. of Mechanics and Mathematics
Moscow State University, Vorobievy Gory, 119952 Moscow Russia
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The journal was founded in 1995 by prof. Malyshev V. A.
Published by Polymat Publishing Company, Moscow, Russia
ISSN 1024-2953
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M. Shcherbina, B. Tirozzi