34 citations · 325 across the 54 of their papers we have counts for
58 papers
Ulam Approximation for Nonautonomous Systems: Equivariant Measures and Linear Response
Stefano Galatolo, Valerio Lucarini, Isaia Nisoli
Despite the prevalence of nonautonomous systems in applications, their statistical properties are much less understood than in the autonomous setting. Building on recent results on…
A Mathematical Framework for Linear Response Theory for Nonautonomous Systems
Stefano Galatolo, Valerio Lucarini
Linear response theory aims to predict how an additional forcing alters the statistical properties of a reference system. Such questions have been studied predominantly for autonom…
Efficient computation of stationary measures and the Lyapunov Landscape for families random dynamical systems with smooth additive noise
Stefano Galatolo, Charles Lopez Vereau, Luigi Marangio +1
We present an efficient and validated method for approximating the stationary measures of random dynamical systems with smooth additive noise. The approach leverages the strong reg…
Optimal Response for Hyperbolic Systems by the fast adjoint response method
Stefano Galatolo, Angxiu Ni
In a uniformly hyperbolic system, we consider the problem of finding the optimal infinitesimal perturbation to apply to the system, from a certain set of feasible ones, to maxi…
The differential of self-consistent transfer operators and the local convergence to equilibrium of mean field strongly coupled dynamical systems
Roberto Castorrini, Stefano Galatolo, Matteo Tanzi
We consider the differential of a self-consistent transfer operator at a fixed point of the operator itself and show that its spectral properties can be used to establish a kind of…
A logarithm law for nonautonomous systems fastly converging to equilibrium and mean field coupled systems
Stefano Galatolo, Davide Faranda
We prove that if a nonautonomous system has in a certain sense a fast convergence to equilibrium (faster than any power law behavior) then the time needed for a typica…