4 papers · 1 filter
Symbolic dynamics for non-uniformly hyperbolic flows
Jérôme Buzzi, Sylvain Crovisier, Yuri Lima +2
We construct symbolic dynamics for non-uniformly hyperbolic flows, in any dimension, possibly with fixed points. More precisely, for each , we code a set which has full measur…
Symbolic extension of maps in arbitrary dimensions
Chiyi Luo, Dawei Yang
We prove that every self-map of a compact Riemannian manifold, in arbitrary dimension, admits a symbolic extension. This gives a positive answer to the conjectu…
The Bernoulli property of Sinai-Ruelle-Bowen measures for flows
Chiyi Luo, Dawei Yang
We prove that for flows whose generating vector fields may have singularities, every weakly mixing hyperbolic SRB measure is Bernoullian.
Strong Positive recurrence for potential and exponential mixing of equilibrium states of surface diffeomorphisms
Chiyi Luo, Dawei Yang
In this paper, we study the strong positive recurrence property for a large class of potentials of surface diffeomorphisms with positive entropy. We establish several…