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Quantitative Parisi formulas and fluctuations in the Sherrington-Kirkpatrick model

Aronow, P. M. et al.
arXiv (All) · Papers
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probability
We establish quantitative Parisi formulas and fluctuation bounds for the Sherrington-Kirkpatrick model at zero external field. In particular, using that the Parisi measure is supported on an interval, we show that for every fixed inverse temperature greater than one, the variance of the logarithmic
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