collaborators

4 papers

math.DS2025

Transitive partially hyperbolic diffeomorphisms in dimension three

Ziqiang Feng

We prove that any transitive conservative partially hyperbolic diffeomorphism of a closed 3-manifold with virtually solvable fundamental group is ergodic. Consequently,…

math.DS2025

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…

math.DS2025

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…

math.DS2024

Partially Hyperbolic Dynamics with Quasi-isometric Center

Ziqiang Feng

We consider the class of partially hyperbolic diffeomorphisms on a closed 3-manifold with quasi-isometric center. Under the non-wandering condition, we prove that the diffeomorphis…