8 citations · 26 across the 22 of their papers we have counts for
5 papers · 1 filter
A -connecting lemma for Lorenz attractors and its application on the space of ergodic measures
Yi Shi, Xueting Tian, Xiaodong Wang
For every , we prove a -connecting lemma for Lorenz attractors. To be precise, for a Lorenz attractor of a -dimensional ($r\geq…
Centralizers of derived-from-Anosov systems on : rigidity versus triviality
Shaobo Gan, Yi Shi, Disheng Xu +1
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on which is homotopic to an Anosov automorphism, and we show that either its central…
-Closing lemma for partially hyperbolic diffeomorphisms with 1D-center bundle
Shaobo Gan, Yi Shi
For every , we prove the -closing lemma for general and conservative partially hyperbolic diffeomorphisms with one-dimensional center bun…
Accessibility of derived-from-Anosov systems
Andy Hammerlindl, Yi Shi
This paper shows any non-Anosov partially hyperbolic diffeomorphism on the 3-torus which is homotopic to Anosov must be accessible.
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…