1 citations · 1 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
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…
SRB measures for partially hyperbolic systems with one-dimensional center subbundles
David Burguet
For a partially hyperbolic attractor with a center bundle splitting in a dominatedway into one-dimensional subbundles we show that for Lebesgue almost every point there is anempiri…
SRB measures for mostly expanding partially hyperbolic diffeomorphisms via the variational approach
David Burguet, Dawei Yang
By using the variational approach, we prove the existence of Sinai-Ruelle-Bowen measures for partially hyperbolic diffeomorphisms with mostly expanding properties. T…
Symbolic extensions for 3-dimensional diffeomorphisms
David Burguet, Gang Liao
We prove that every diffeomorphism with on a three-dimensional manifold admits symbolic extensions, i.e. topological extensions which are subshifts over a f…