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Presented By: Department of Mathematics

Integrable Systems and Random Matrix Theory Seminar

Fluctuations of the overlap of the spherical SK model at low temperature

We consider the fluctuations of the overlap between two replicas in the 2-spin spherical SK model in the low temperature phase. We show that the fluctuations are of order N^(-1/3) and are given by a simple, explicit function of the eigenvalues of GOE matrix. We show that this quantity converges and describe its limit in terms of quantities from random matrix theory. Joint work with P. Sosoe. Speaker(s): Benjamin Landon (MIT)

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