Equilibrium states for non-transitive random open and closed dynamical systems - Équipe Systèmes dynamiques : théories et applications Accéder directement au contenu
Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2023

Equilibrium states for non-transitive random open and closed dynamical systems

Résumé

This work provides random Perron--Frobenius decompositions and relative equilibrium states for a class of random open and closed interval maps, without imposing transitivity requirements, such as mixing and covering conditions, which are prevalent in the literature. Such decompositions are linked to the existence and uniqueness of random conformal and invariant measures with exponential decay of correlations. These results allow us to expand the class of examples of (random) dynamical systems amenable to multiplicative ergodic theory and thermodynamic formalism. Applications include open and closed random intermittent maps with geometric potentials, non-transitive random maps and a connection between Lyapunov exponents and escape rates through random holes.

Dates et versions

hal-03389058 , version 1 (20-10-2021)

Identifiants

Citer

Sandro Vaienti, Jason Atnip, Gary Froyland, Cecilia González-Tokman. Equilibrium states for non-transitive random open and closed dynamical systems. Ergodic Theory and Dynamical Systems, inPress, 43 (10), pp.3193-3215. ⟨10.1017/etds.2022.68⟩. ⟨hal-03389058⟩
37 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More