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math.PR2026
The Order of Free Energy Fluctuations in the Critical Sherrington-Kirkpatrick Model Revisited
Adrien Schertzer
We study the fluctuations of the free energy of the Sherrington-Kirkpatrick model at the critical inverse temperature . We prove that \[ \operatorname{Var}(F_N(1))\leq \frac14…
math.PR2026
On the local nature of the de Almeida-Thouless line for mixed \(p\)-spin glasses
Jean-Christophe Mourrat, Adrien Schertzer
Jagannath and Tobasco~\cite{JagTob} proposed a generalized de Almeida-Thouless (AT) criterion aimed at characterizing the replica symmetric (RS) regime for a broad class of mixed \…