Zobrazeno 1 - 10
of 178
pro vyhledávání: '"Galatolo, Stefano"'
In this paper we investigate the action of self-consistent transfer operators (STOs) on Birkhoff cones and give sufficient conditions for stability of their fixed points. Our approach relies on the order preservation properties of STOs that can be es
Externí odkaz:
http://arxiv.org/abs/2408.08745
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 local exponential convergence to equilibrium: probability measures ne
Externí odkaz:
http://arxiv.org/abs/2407.09314
Autor:
Galatolo, Stefano, Faranda, Davide
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 $\tau _{r}(x,y)$ needed for a typical point $x$ to enter for the first time in a ball $B(y,r)$ centere
Externí odkaz:
http://arxiv.org/abs/2404.03241
Autor:
Froyland, Gary, Galatolo, Stefano
We consider the problem of optimal linear response for deterministic expanding maps of the circle. To each infinitesimal perturbation $\dot{T}$ of a circle map $T$ we consider (i) the response of the expectation of an observation function and (ii) th
Externí odkaz:
http://arxiv.org/abs/2310.19191
Autor:
Bahsoun, Wael, Galatolo, Stefano
It is well known that a family of tent-like maps with bounded derivatives has no linear response for typical deterministic perturbations changing the value of the turning point. In this note we prove the following result: if we consider a tent-like f
Externí odkaz:
http://arxiv.org/abs/2301.02301
A general framework for the rigorous computation of invariant densities and the coarse-fine strategy
In this paper we present a general, axiomatical framework for the rigorous approximation of invariant densities and other important statistical features of dynamics. We approximate the system trough a finite element reduction, by composing the associ
Externí odkaz:
http://arxiv.org/abs/2212.05017
Autor:
Galatolo, Stefano
We describe a general approach to the theory of self consistent transfer operators. These operators have been introduced as tools for the study of the statistical properties of a large number of all to all interacting dynamical systems subjected to a
Externí odkaz:
http://arxiv.org/abs/2105.12388
We prove the existence of multiple noise-induced transitions in the Lasota-Mackey map, which is a class of one dimensional random dynamical system with additive noise. The result is achieved by the help of rigorous computer assisted estimates. We fir
Externí odkaz:
http://arxiv.org/abs/2102.11715
We consider optimal control problems for discrete-time random dynamical systems, finding unique perturbations that provoke maximal responses of statistical properties of the system. We treat systems whose transfer operator has an $L^2$ kernel, and we
Externí odkaz:
http://arxiv.org/abs/2101.09411
Autor:
Galatolo, Stefano, Marsan, Hugo
We study the stochastic stability in the zero-noise limit from a quantitative point of view. We consider smooth expanding maps of the circle, perturbed by additive noise. We show that in this case the zero-noise limit has a quadratic speed of converg
Externí odkaz:
http://arxiv.org/abs/2007.05339