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