Fluctuations of the 2-spin SSK model with magnetic field

Published 26 Sep 2020 in math.PR, math-ph, and math.MP | (2009.12514v3)

Abstract: We analyze the fluctuations of the free energy, replica overlaps, and overlap with the external field in the quadratic spherical SK model with a magnetic field. We identify several different behaviors for these quantities depending on the size of the magnetic field, confirming predictions by Fyodorov-Le Doussal and recent work of Baik, Collins-Wildman, Le Doussal and Wu.

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