144 citations · 1k across the 90 of their papers we have counts for
7 papers · 1 filter
Thermodynamic Limit for Mean-Field Spin Models
A. Bianchi, P. Contucci, C. Giardina'
If the Boltzmann-Gibbs state of a mean-field -particle system with Hamiltonian verifies the condition for every decomposition…
Interpolating Greedy and Reluctant Algorithms
P. Contucci, C. Giardina', C. Giberti +2
In a standard NP-complete optimization problem we introduce an interpolating algorithm between the quick decrease along the gradient (greedy dynamics) and a slow decrease close to…
Convex Replica Simmetry Breaking From Positivity and Thermodynamic Limit
Pierluigi Contucci, Sandro Graffi
Consider a correlated Gaussian random energy model built by successively adding one particle (spin) into the system and imposing the positivity of the associated covariance matrix.…
Path integral representations for the spin-pinned quantum XXZ chain
Oscar Bolina, Pierluigi Contucci, Bruno Nachtergaele
Two discrete path integral formulations for the ground state of a spin-pinned quantum anisotropic XXZ Heisenberg chain are introduced. Their properties are discussed and two recurs…
On the Surface Pressure for the Edwards-Anderson Model
Pierluigi Contucci, Sandro Graffi
For the Edwards-Anderson model we introduce an integral representation for the surface pressure (per unit surface) in terms of a quenched moment of the bond-overlap on the surface.…
Monotonicity and Thermodynamic Limit for Short Range Disordered Models
Pierluigi Contucci, Sandro Graffi
If the variance of a short range Gaussian random potential grows like the volume its quenched thermodynamic limit is reached monotonically.