144 citations · 1k across the 90 of their papers we have counts for
3 papers · 1 filter
On the phase diagram of the multiscale mean-field spin-glass
Francesco Camilli, Pierluigi Contucci, Emanuele Mingione +1
In this paper we study the phase diagram of a Sherrington-Kirkpatrick (SK) model where the couplings are forced to thermalize at different time scales. Besides being a challenging…
Ferromagnetic Ising Model on multiregular random graphs
Diego Alberici, Pierluigi Contucci, Emanuele Mingione +1
A family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings an…
Bounds on tree distribution in number theory
Roberto Conti, Pierluigi Contucci, Vitalii Iudelevich
The occurrence and the distribution of patterns of trees associated to natural numbers are investigated. Bounds from above and below are proven for certain natural quantities.