5 citations · 9 across the 5 of their papers we have counts for
7 papers
The Ghirlanda-Guerra Identities
Pierluigi Contucci, Cristian Giardina'
If the variance of a Gaussian spin-glass Hamiltonian grows like the volume the model fulfills the Ghirlanda-Guerra identities in terms of the normalized Hamiltonian covariance.
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…
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…
Toward a Classification of Stochastically Stable Quenched Measures
Pierluigi Contucci
In this short note we study the fourth order consequences of the stochastic stability property for mean field spin glass models introduced in previous paper by Aizenman and Contucc…
Mean field behaviour of spin systems with orthogonal interaction matrix
Pierluigi Contucci, Sandro Graffi, Stefano Isola
For the long-range deterministic spin models with glassy behaviour of Marinari, Parisi and Ritort we prove weighted factorization properties of the correlation functions which repr…