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math-ph2022★ 5 cited
The Two Point Function of the SK Model without External Field at High Temperature
Christian Brennecke, Adrien Schertzer, Changji Xu +1
We show that the two point correlation matrix of the Sherrington-Kirkpatrick model with zero external field satisfies \[…
math.PR2022
On concavity of TAP free energy in the SK model
Stephan Gufler, Adrien Schertzer, Marius A. Schmidt
We analyse the Hessian of the Thouless-Anderson-Palmer (TAP) free energy for the Sherrington-Kirkpatrick model, below the de Almeida-Thouless line, evaluated in Bolthausen's approx…
math.PR2022
Fluctuations of the free energy in p-spin SK models on two scales
Anton Bovier, Adrien Schertzer
20 years ago, Bovier, Kurkova, and Löwe [5] proved a central limit theorem (CLT) for the fluctuations of the free energy in the p-spin version of the Sherrington-Kirkpatrick model…