• 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}
}
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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8 Citations
Highly Influential Citations
2
Background Citations
2
Methods Citations
3
Results Citations
3

8 Citations

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  • B. Landon
  • Mathematics
    Journal of Mathematical Physics
  • 2022
TLDR
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The compatibility threshold α c < 1 is found which is the value of α beyond which a large random linear system on the N-sphere becomes typically incompatible.
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We examine the behavior of the 2-spin spherical Sherrington-Kirkpatrick model with an external field by analyzing the overlap of a spin with the external field. Previ-ous research has noted that, at…

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