98 citations · 1.6k across the 63 of their papers we have counts for
64 papers
Quenched complexity of marginal states in the Sherrington--Kirkpatrick spin glass
Tiziana De Chirico, Luca Leuzzi
The number of metastable states of a random corrugated landscape controls what dynamics, inference and learning can reach. In the Sherrington-Kirkpatrick model these states are mar…
Smoothed-Cubic Spin-Glass Model of Random Lasers
Marcello Benedetti, Luca Leuzzi
We study the equilibrium glassy behavior of a multimode random laser model with nonlinear four-body quenched disordered interactions and a global smoothed-cubic constraint on mode…
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…
Intensity pseudo-localized phase in the glassy random laser
Jacopo Niedda, Luca Leuzzi, Giacomo Gradenigo
Evidence of an emergent pseudo-localized phase characterizing the low-temperature replica symmetry breaking phase of the complex disordered models for glassy light is provided in t…
Universality class of the mode-locked glassy random laser
Jacopo Niedda, Giacomo Gradenigo, Luca Leuzzi +1
By means of enhanced Monte Carlo numerical simulations parallelized on GPU's we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser,…
A generalized Hopfield model to store and retrieve mismatched memory patterns
Luca Leuzzi, Alberto Patti, Federico Ricci-Tersenghi
We study a class of Hopfield models where the memories are represented by a mixture of Gaussian and binary variables and the neurons are Ising spins. We study the properties of thi…