Exponential control of overlap in the replica method for p - spin Sherrington - Kirkpatrick model
نویسنده
چکیده
In [8] the large deviations limit limN→∞(Na) −1 log EZa N for the moments of the partition function ZN in the Sherrington-Kirkpatrick model [5] was computed for all real a ≥ 0. For a ≥ 1 this result extends the classical physicist’s replica method that corresponds to integer a. We give a new proof for a ≥ 1 in the case of the pure p-spin SK model that provides a strong exponential control of the overlap.
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