A logarithm law for nonautonomous systems fastly converging to equilibrium and mean field coupled systems - Laboratoire de Météorologie Dynamique (LMD) Access content directly
Preprints, Working Papers, ... Year : 2024

A logarithm law for nonautonomous systems fastly converging to equilibrium and mean field coupled systems

Abstract

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 τ_r(x,y) needed for a typical point x to enter for the first time in a ball B(y,r) centered in y, with small radius r scales as the local dimension of the equilibrium measure μ at y, i.e. lim(r→0) log [τ_r(x,y)]/ [-log(r)] We then apply the general result to concrete systems of different kind, showing such a logarithm law for asymptotically authonomous solenoidal maps and mean field coupled expanding maps.
Fichier principal
Vignette du fichier
HittingClimate.pdf (437.06 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-04549099 , version 1 (17-04-2024)

Identifiers

Cite

Stefano Galatolo, Davide Faranda. A logarithm law for nonautonomous systems fastly converging to equilibrium and mean field coupled systems. 2024. ⟨hal-04549099⟩
20 View
3 Download

Altmetric

Share

Gmail Facebook X LinkedIn More