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math.PR2024
On the Replica Symmetry of a Variant of the Sherrington-Kirkpatrick Spin Glass
Christian Brennecke, Adrien Schertzer
We consider i.i.d. Ising spins with mean whose interactions are described by a Sherrington-Kirkpatrick Hamiltonian with a quartic correction. This model was recen…
math.PR2024
Spin Covariance Fluctuations in the SK Model at High Temperature
Christian Brennecke, Adrien Schertzer, Chen Van Dam
Based on \cite{H}, it is well known that the rescaled two point correlation functions \[ \sqrt{N} \langle σ_i ; σ_j\rangle = \sqrt{N} \big( \langle σ_i σ_j\rangle -\langle σ_i\rang…