7 papers
An entropy dichotomy for singular star flows
Maria José Pacifico, Fan Yang, Jiagang Yang
We show that non-trivial chain recurrent classes for generic star flows satisfy a dichotomy: either they have zero topological entropy, or they must be isolated. Moreover, ch…
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…
A countable partition for singular flows, and its application on the entropy theory
Yi Shi, Fan Yang, Jiagang Yang
In this paper, we construct a countable partition for flows with hyperbolic singularities by introducing a new cross section at each singularity. Such partition forms…
Rare event process and entry times distribution for arbitrary null sets on compact manifolds
Fan Yang
We establish the general equivalence between rare event process for arbitrary continuous functions whose maximal values are achieved on non-trivial sets, and the entry times distri…
Entropy theory for sectional hyperbolic flows
Maria Jose Pacifico, Fan Yang, Jiagang Yang
We use entropy theory as a new tool to study sectional hyperbolic flows in any dimension. We show that for flows, every sectional hyperbolic set is entropy expansive, and…
New criterion of physical measures for partially hyperbolic diffeomorphisms
Yongxia Hua, Fan Yang, Jiagang Yang
We show that for any partially hyperbolic diffeomorphism, there is a full volume subset, such that any Cesaro limit of any point in this subset satisfies the Pesin formula fo…