103 citations · 213 across the 5 of their papers we have counts for
5 papers
Logarithmic critical slowing down in complex systems: from statics to dynamics
Luca Leuzzi, Tommaso Rizzo
We consider second-order phase transitions in which the order parameter is a replicated overlap matrix. We focus on a tricritical point that occurs in a variety of mean-field model…
Diluted Mean-Field Spin-Glass Models at Criticality
Giorgio Parisi, Federico Ricci-Tersenghi, Tommaso Rizzo
We present a method derived by cavity arguments to compute the spin-glass and higher-order susceptibilities in diluted mean-field spin-glass models. The divergence of the spin-glas…
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…
On the Parisi-Toulouse hypothesis for the spin glass phase in mean-field theory
A. Crisanti, T. Rizzo, T. Temesvari
We consider the spin-glass phase of the Sherrington-Kirkpatrick model in the presence of a magnetic field. The series expansion of the Parisi function is computed at high or…
Analysis of the infinity-replica symmetry breaking solution of the Sherrington-Kirkpatrick model
A. Crisanti, T. Rizzo
In this work we analyse the Parisi's infinity-replica symmetry breaking solution of the Sherrington - Kirkpatrick model without external field using high order perturbative expansi…