30 citations · 171 across the 16 of their papers we have counts for
12 papers · 1 filter
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…
On the convergence to the non-equilibrium steady state of a Langevin dynamics with widely separated time scales and different temperatures
Diego Alberici, Nicolas Macris, Emanuele Mingione
We study the solution of the two-temperatures Fokker-Planck equation and rigorously analyse its convergence towards an explicit non-equilibrium stationary measure for long time and…
The solution of the deep Boltzmann machine on the Nishimori line
Diego Alberici, Francesco Camilli, Pierluigi Contucci +1
The deep Boltzmann machine on the Nishimori line with a finite number of layers is exactly solved by a theorem that expresses its pressure through a finite dimensional variational…
The multi-species mean-field spin-glass on the Nishimori line
Diego Alberici, Francesco Camilli, Pierluigi Contucci +1
In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of this line, a set of identities and inequalities among correlation functions…
Deep Boltzmann machines: rigorous results at arbitrary depth
Diego Alberici, Pierluigi Contucci, Emanuele Mingione
A class of deep Boltzmann machines is considered in the simplified framework of a quenched system with Gaussian noise and independent entries. The quenched pressure of a -layers…
Finite-size corrections for the attractive mean-field monomer-dimer model
Diego Alberici, Pierluigi Contucci, Rachele Luzi +1
The finite volume correction for a mean-field monomer-dimer system with an attractive interaction are computed for the pressure density, the monomer density and the susceptibility.…
Two populations mean-field monomer-dimer model
Diego Alberici, Emanuele Mingione
A two populations mean-field monomer-dimer model including both hard-core and attractive interactions between dimers is considered. The pressure density in the thermodynamic limit…
Mean-Field Monomer-Dimer models. A review
Diego Alberici, Pierluigi Contucci, Emanuele Mingione
A collection of rigorous results for a class of mean-field monomer-dimer models is presented. It includes a Gaussian representation for the partition function that is shown to cons…
Limit theorems for monomer-dimer mean-field models with attractive potential
Diego Alberici, Pierluigi Contucci, Micaela Fedele +1
The number of monomers, in a monomer-dimer mean-field model with an attractive potential, fluctuates according to the central limit theorem when the parameters are outside the crit…
A mean-field monomer-dimer model with random monomer activities. Exact solution and rigorous results
Diego Alberici, Pierluigi Contucci, Emanuele Mingione
Independent random monomer activities are considered on a mean-feld monomer-dimer model. Under very general conditions on the randomness the model is shown to have a self-averaging…
A mean-field monomer-dimer model with attractive interaction. The exact solution
Diego Alberici, Pierluigi Contucci, Emanuele Mingione
A mean-field monomer-dimer model which includes an attractive interaction among both monomers and dimers is introduced and its exact solution rigorously derived. The Heilmann-Lieb…
Solution of the monomer-dimer model on locally tree-like graphs. Rigorous results
Diego Alberici, Pierluigi Contucci
We consider the monomer-dimer model on sequences of random graphs locally convergent to trees. We prove that the monomer density converges almost surely, in the thermodynamic limit…