124 citations · 452 across the 28 of their papers we have counts for
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Localization in infinite billiards: a comparison between quantum and classical ergodicity
Sandro Graffi, Marco Lenci
Consider the non-compact billiard in the first quandrant bounded by the positive -semiaxis, the positive -semiaxis and the graph of , . Althoug…
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.…
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.