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Free energy and spectral edge of the SYK model
We introduce a microscopic framework that gives the first rigorous derivation of the Schwinger--Dyson thermodynamics of the Sachdev--Ye--Kitaev model. For fixed, even interaction order $q\geq 4$, we prove that the annealed and quenched normalized pressures converge to the Schwinger--Dyson pressure $
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