24 citations · 28 across the 5 of their papers we have counts for
5 papers
Rigorous Results on the Bipartite Mean-Field Model
Micaela Fedele, Francesco Unguendoli
We consider a bipartite mean-field model in which both the interaction constant and the external field take different values only depending on the groups particles belong to. We co…
Lack of monotonicity in spin glass correlation functions
Pierluigi Contucci, Francesco Unguendoli, Cecilia Vernia
We study the response of a spin glass system with respect to the rescaling of its interaction random variables and investigate numerically the behaviour of the correlation function…
Correlation Inequalities for Spin Glass in one Dimension
Pierluigi Contucci, Francesco Unguendoli
We prove two inequalities for the direct and truncated correlation for the nearest-neighboor one-dimensional Edwards-Anderson model with symmetric quenched disorder. The second ine…
Local Order at Arbitrary Distances in Finite-Dimensional Spin-Glass Models
Pierluigi Contucci, Francesco Unguendoli
For a finite dimensional spin-glass model we prove local order at low temperatures for both local observables and for products of observables at arbitrary mutual distance. When the…
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…