2 papers
math.DS2026
Generalized -Gibbs measures for diffeomorphisms
Snir Ben Ovadia, David Burguet
We show that for every diffeomorphism of a closed Riemannian manifold, if there exists a positive volume set of points which admit some expansion with a positive Lyapuno…
math.DS2025
Effective SPR property for surface diffeomorphisms and three-dimensional vector fields
David Burguet, Chiyi Luo, Dawei Yang
In this paper, we prove that ergodic measures with large entropy give uniformly large measure to the set of points with simultaneously long unstable and long stable manifolds. As a…