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

M. Shcherbina, B. Tirozzi

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


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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