Simone Franchini

most citedUniversal scaling limits for spin networks via martingale methods

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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.PR2026

REM universality for linear random energy

Francesco Concetti, Simone Franchini

We consider a sequence of random Hamiltonians $H_{n} (h, I ¨ ) = \sum_{i = 1}^{n} h_{i} (I ¨ _{i} - m)$ , and study the asymptotic ( $n \to \infty$ ) distribution of the energy levels $(H_n(h,Ï))_{Ï\in \{…