3 papers
math.DS2025
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…
math.DS2025
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…
math.DS2024
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…