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

#### M. Shcherbina, B. Tirozzi

2005, v.11, №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