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The Spherical p+s Spin Glass At Zero Temperature

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arxiv 2209.03866 v1 pith:NO67SSTA submitted 2022-09-08 math.PR math-phmath.MP

Antonio Auffinger , Yuxin Zhou This is my paper · ORCID
classification math.PRmath-phmath.MP
keywords temperaturefrsbglassmodelsphericalspinzeroconsequences
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We determine the structure of the Parisi measure at zero temperature for the spherical p+s spin glass model. We show that depending on the values of p and s, four scenarios may emerge, including the existence of 1-FRSB and 2-FRSB phases as predicted by Crisanti and Leuzzi [10, 11]. We also provide consequences for the model at low temperature.

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    For high-dimensional superpositions of random plane waves, the authors derive annealed complexity formulas and a Parisi-type variational principle for the mean ground-state energy, with replica-symmetric, one-step, an...

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