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math.PR2022★ 2 cited
High temperature TAP upper bound for the free energy of mean field spin glasses
David Belius
This work proves an upper bound for the free energy of the Sherrington-Kirkpatrick model and its generalizations in terms of the Thouless-Anderson-Palmer (TAP) energy. The result a…
math.PR2021
Fluctuations of the free energy of the mixed -spin mean field spin glass model
Debapratim Banerjee, David Belius
We prove the convergence in distribution of the fluctuations of the free energy of the mixed -spin Sherrington-Kirkpatrick model with non-vanishing -spin component at high en…