42 citations · 179 across the 26 of their papers we have counts for
29 papers
Anosov Diffeomorphisms of Finite-Type Surfaces
Raúl Ures, Tongyao Yu
We prove that a complete surface of finite topological type satisfying Condition A is homeomorphic to the two-torus. More generally, we show that an isolated planar end of a comple…
Entropy and semiconjugacy on surfaces
Pablo D. Carrasco, Federico Rodriguez Hertz, Jana Rodriguez Hertz +1
Let be a diffeomorphism in the isotopy class of a pseudo-Anosov homeomorphism such that and have the same topological entropy. In 1988, Handel proved tha…
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…
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…
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…