Fluctuations of the 2-spin SSK model with magnetic field
@article{Landon2020FluctuationsOT, title={Fluctuations of the 2-spin SSK model with magnetic field}, author={Benjamin Landon and Philippe Sosoe}, journal={arXiv: Probability}, year={2020} }
We analyze the fluctuations of the free energy, replica overlaps, and overlap with the magnetic fields in the quadratic spherial SK model with a vanishing 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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