7 papers
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…
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…
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…
Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps
Stefano Galatolo, Rafael Lucena
We consider transformations preserving a contracting foliation, such that the associated quotient map satisfies a Lasota-Yorke inequality. We prove that the associated transfer ope…
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…
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 typic…