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cond-mat.stat-mech2026
Constructive Cavity Method
Simone Franchini
We show that the functional appearing in the celebrated Parisi formula for the free energy of the Sherrington-Kirkpatrick model can be found from the incremental free energy obtain…
cond-mat.stat-mech2024★ 1 cited
Universal scaling limits for spin networks via martingale methods
Simone Franchini
We use simple martingale methods to construct a large deviation theory of spin systems with pairwise interactions. As an application, we show that the fully connected case obeys a…