F. Concetti

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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 \{…

math.PR2025

Variational formula for the logarithmic potential of free additive convolutions

Francesco Concetti, David Belius, Giuseppe Genovese

We establish a general variational formula for the logarithmic potential of the free additive convolution of two compactly supported probability measure on $R$ . The formula is giv…