Combinatorics Seminar - Benjamin Landon

April 16, 2019
Thursday, April 25, 2019 - 10:20am to 11:15am
Math Tower 154
Combinatorics Seminar

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

Speaker: Benjamin Landon (MIT)

Abstract: 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.

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