• Corpus ID: 221969933

# 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}
}
• Published 26 September 2020
• Physics
• arXiv: Probability
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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