Central Limit Theorems for Order Parameters of the Gardner Problem,

M. Shcherbina, B. Tirozzi

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


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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