44 citations · 84 across the 20 of their papers we have counts for
5 papers · 2 filters
Statistical properties of physical-like measures
Shaobo Gan, Fan Yang, Jiagang Yang +1
In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures…
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…
Partially volume expanding diffeomorphisms
Shaobo Gan, Ming Li, Marcelo Viana +1
We call a partially hyperbolic diffeomorphism \emph{partially volume expanding} if the Jacobian restricted to any hyperplane that contains the unstable bundle is larger than…
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…