203 citations · 760 across the 23 of their papers we have counts for
23 papers
Numerical construction of the Aizenman-Wehr metastate
A. Billoire, L. A. Fernandez, A. Maiorano +6
Chaotic size dependence makes it extremely difficult to take the thermodynamic limit in disordered systems. Instead, the metastate, which is a distribution over thermodynamic state…
Infinite volume extrapolation in the one-dimensional bond diluted Levy spin-glass model near its lower critical dimension
L. Leuzzi, G. Parisi, F. Ricci-Tersenghi +1
We revisited, by means of numerical simulations, the one dimensional bond diluted Levy Ising spin glasses outside the limit of validity of mean field theories. In these models the…
Finite size correction to the spectrum of regular random graphs: an analytical solution
Fernando L. Metz, Giorgio Parisi, Luca Leuzzi
We develop a thorough analytical study of the correction to the spectrum of regular random graphs with nodes. The finite size fluctuations of the re…
The renormalization flow of the hierarchical Anderson model at weak disorder
F. L. Metz, L. Leuzzi, G. Parisi
We study the flow of the renormalized model parameters obtained from a sequence of simple transformations of the 1D Anderson model with long-range hierarchical hopping. Combining n…
Transition between localized and extended states in the hierarchical Anderson model
F. L. Metz, L. Leuzzi, G. Parisi +1
We present strong numerical evidence for the existence of a localization-delocalization transition in the eigenstates of the 1-D Anderson model with long-range hierarchical hopping…
On the critical slowing down exponents of mode coupling theory
F. Caltagirone, U. Ferrari, L. Leuzzi +3
A method is provided to compute the parameter exponent yielding the dynamic exponents of critical slowing down in mode coupling theory. It is independent from the dynamic appro…