6 papers · 1 filter
Partially Hyperbolic Dynamics on : Existence of Compact Center-Unstable Leaves
Raul Ures, Tongyao Yu
We show that for , if a partially hyperbolic diffeomorphism with has an invariant center-unstable foliation with…
Partially hyperbolic diffeomorphisms homotopic to the identity in dimension three
Ziqiang Feng, Raúl Ures
We show that any conservative partially hyperbolic diffeomorphism homotopic to the identity is accessible unless the fundamental group of its ambient 3-manifold is virtually solvab…
Measures of maximal entropy that are SRB
Fernando Micena, Ryo Moore, Jana Rodriguez Hertz +1
A smooth conservative DA-diffeomorphism is smoothly conjugated to its Anosov linear part if and only if all Lyapunov exponents coincide almost everywhere with those of its linear p…
Accessibility and Ergodicity of Partially Hyperbolic Diffeomorphisms without Periodic Points
Ziqiang Feng, Raúl Ures
We prove that every conservative partially hyperbolic diffeomorphism of a closed 3-manifold without periodic points is ergodic, which gives an affirmative answer to the Ergod…
On the Ergodicity of Rotation Extensions of Hyperbolic Endomorphisms
Fernando Micena, Raúl Ures
We study the ergodicity of partially hyperbolic endomorphisms, focusing on skew products where the base dynamics are governed by Anosov endomorphisms. For this family, we establish…
Maximal transverse measures of expanding foliations
Raul Ures, Marcelo Viana, Fan Yang +1
For an expanding (unstable) foliation of a diffeomorphism, we use a natural dynamical averaging to construct transverse measures, which we call \emph{maximal}, describing the stati…