Francesco Concetti

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math.PR2026

REM universality and Poisson-Dirichlet Gibbs weights for linear random energy

Francesco Concetti, Simone Franchini

We study the Hamiltonian $H_{n} (h, I ¨ ) = \sum_{i = 1}^{n} h_{i} (I ¨ _{i} - m),$ where $(h_{i})$ are i.i.d.\ real random variables and $(I ¨ _{i})$ are i.i.d.\ Ising spins. We consider the energy levels…

math.PR2025

Properties of the full replica symmetry breaking free energy functional of the Ising spin glass on random regular graph

Francesco Concetti

We analyze the full replica symmetry breaking (full--RSB) free energy functional for the Ising spin glass on a random regular graph proposed by the author in \cite{MyPaper}. We pro…