Publications (11)
Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions
F. Ginelli, M. Cencini, A. Torcini
The synchronization transition between two coupled replicas of spatio-temporal chaotic systems in 2+1 dimensions is studied as a phase transition into an absorbing state - the sync…
A statistical mechanics framework for Bayesian deep neural networks beyond the infinite-width limit
R. Pacelli, S. Ariosto, M. Pastore +3
Despite the practical success of deep neural networks, a comprehensive theoretical framework that can predict practically relevant scores, such as the test accuracy, from knowledge…
Contact processes with long-range interactions
F. Ginelli, H. Hinrichsen, R. Livi +2
A class of non-local contact processes is introduced and studied using mean-field approximation and numerical simulations. In these processes particles are created at a rate which…
Directed Percolation with long-range interactions: modeling non-equilibrium wetting
F. Ginelli, H. Hinrichsen, R. Livi +2
It is argued that some phase--transitions observed in models of non-equilibrium wetting phenomena are related to contact processes with long-range interactions. This is investigate…
Emergence of chaotic behaviour in linearly stable systems
F. Ginelli, R. Livi, A. Politi
Strong nonlinear effects combined with diffusive coupling may give rise to unpredictable evolution in spatially extended deterministic dynamical systems even in the presence of a f…
Characterizing dynamics with covariant Lyapunov vectors
F. Ginelli, P. Poggi, A. Turchi +3
A general method to determine covariant Lyapunov vectors in both discrete- and continuous-time dynamical systems is introduced. This allows to address fundamental questions such as…
From multiplicative noise to directed percolation in wetting transitions
F. Ginelli, V. Ahlers, R. Livi +4
A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter…
Local Persistence in the Directed Percolation Universality Class
J. Fuchs, J. Schelter, F. Ginelli +1
We revisit the problem of local persistence in directed percolation, reporting improved estimates of the persistence exponent in 1+1 dimensions, discovering strong corrections to s…
Universal mean field upper bound for the generalisation gap of deep neural networks
S. Ariosto, R. Pacelli, F. Ginelli +2
Modern deep neural networks (DNNs) represent a formidable challenge for theorists: according to the commonly accepted probabilistic framework that describes their performance, thes…
On the relationship between directed percolation and the synchronization transition in spatially extended systems
F. Ginelli, R. Livi, A. Politi +1
We study the nature of the synchronization transition in spatially extended systems by discussing a simple stochastic model. An analytic argument is put forward showing that, in th…
Large-scale collective properties of self-propelled rods
F. Ginelli, F. Peruani, M. Baer +1
We study, in two space dimensions, the large-scale properties of collections of constant-speed polar point particles interacting locally by nematic alignment in the presence of noi…