4 papers
On the Topological Transitivity of Interval Extensions of Anosov Diffeomorphisms
Wenchao Li, Mingyang Xia
We establish topological transitivity for a class of analytic partially hyperbolic diffeomorphisms on thickened nilmanifolds. These systems take the form of skew products, construc…
Robust Transitivity of Partially Hyperbolic Diffeomorphisms with Interval Central Leaves
Wenchao Li, Yi Shi, Mingyang Xia
For a boundary-preserving partially hyperbolic diffeomorphism with interval central leaves, we completely characterize the -robust transitivity by boundary interco…
The Cohomological Equation for Jointly Integrable Partially Hyperbolic Diffeomorphisms on 3-Manifolds
Wenchao Li, Yi Shi
For a jointly integrable partially hyperbolic diffeomorphism on a 3-manifold with virtually solvable fundamental group which satisfies Diophantine condition along the cente…
Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms
Ruihao Gu, Wenchao Li
Under some non-invertibility and irreducibility condition, for nilmanifold Anosov maps with one-dimensional stable bundle, we get the equivalence among the existence of invariant u…