44 citations · 84 across the 20 of their papers we have counts for
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Rigidity of stable Lyapunov exponents and integrability for Anosov maps
Jinpeng An, Shaobo Gan, Ruihao Gu +1
Let be a non-invertible irreducible Anosov map on -torus. We show that if the stable bundle of is one-dimensional, then has the integrable unstable bundle, if and on…
Lyapunov stable chain recurrence classes for singular flows
Shaobo Gan, Jiagang Yang, Rusong Zheng
We show that for a generic vector field away from homoclinic tangencies, a nontrivial Lyapunov stable chain recurrence class is a homoclinic class. The proof uses an argu…
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…