3 citations · 3 across the 4 of their papers we have counts for
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…
Topological transitivity of Kan-type partially hyperbolic diffeomorphisms
Mingyang Xia
We present the topological transitivity of a class of diffeomorphisms on the thickened torus, including the partially hyperbolic example introduced by Ittai Kan in 1994, which is w…
On the density of Birkhoff sums for Anosov diffeomorphisms
Shaobo Gan, Yi Shi, Mingyang Xia
Let f be an Anosov diffeomorphism on a nilmanifold. We consider Birkhoff sums for a Holder continuous observation along periodic orbits. We show that if there are two Birkhoff sums…