Central Limit Theorems for Order Parameters of the Gardner Problem,

M. Shcherbina, B. Tirozzi

2003, v.9, Issue 4, 803-828

ABSTRACT

Fluctuations of the order parameters of the Gardner model for any $\alpha<\alpha_c$ are studied. It is proved that they converge in distribution to a family of jointly Gaussian random variables.

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