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Free energy fluctuation of soft spherical Sherrington-Kirkpatrick model

Lee, Ji Oon et al.
arXiv (All) · Papers
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probability
We consider a soft version of the spherical Sherrington-Kirkpatrick model, where the spherical constraint is replaced by a radial confinement term. We prove that, for a real symmetric disorder matrix under suitable spectral assumptions, the free energy exhibits two distinct fluctuation regimes. In t
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