144 citations · 1k across the 90 of their papers we have counts for
4 papers · 1 filter
Energy-Decreasing Dynamics in Mean-Field Spin Models
L. Bussolari, P. Contucci, M. Degli Esposti +1
We perform a statistical analysis of deterministic energy-decreasing algorithms on mean-field spin models with complex energy landscape like the Sine model and the Sherrington Kirk…
Thermodynamical Limit for Correlated Gaussian Random Energy Models
P. Contucci, M. Degli Esposti, C. Giardina +1
Let $\{E_{\s}(N)\}_{\s\inΣ_N}$ be a family of centered unit Gaussian random variables defined by the covariance matrix of elements $\displaystyle c_N(\s,τ):=\av{E…
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…
The Ferromagnetic Heisenberg XXZ chain in a pinning field
Pierluigi Contucci, Bruno Nachtergaele, Wolfgang L. Spitzer
We investigate the effect of a magnetic field supported at a single lattice site on the low-energy spectrum of the ferromagnetic Heisenberg XXZ chain. Such fields, caused by impuri…