Central University of Finance and Economics

output

20072026

most citedSolutions to Horava Gravity

349 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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14 papers · 1 filter

math.DS2020★ 1 cited

Equilibrium states of intermediate entropies

Peng Sun

We explore an approach to the conjecture of Katok on intermediate entropies that based on uniqueness of equilibrium states, provided the entropy function is upper semi-continuous.…

math.DS2019

Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures

Peng Sun

We show that systems with the structure introduced by Climenhaga and Thompson have dense intermediate pressures and dense intermediate entropies of ergodic measures. The result app…

math.DS2019★ 5 cited

Unique ergodicity for zero-entropy dynamical systems with the approximate product property

Peng Sun

We show that for every topological dynamical system with the approximate product property, zero topological entropy is equivalent to unique ergodicity. Equivalence of minimality is…

math.DS2018★ 3 cited

Zero-entropy dynamical systems with the gluing orbit property

Peng Sun

Under the assumption of the gluing orbit property, equivalent conditions to having zero topological entropy are investigated. In particular, we show that a dynamical system has the…

math.DS2018

On the Entropy of Flows with Reparametrized Gluing Orbit Property

Peng Sun

We show that a flow or a semiflow with a weaker reparametrized form of gluing orbit property is either minimal or of positive topological entropy.

math.DS2018★ 1 cited

Minimality and Gluing Orbit Property

Peng Sun

We show that a topological dynamical system is either minimal or have positive topological entropy. Moreover, for equicontinuous systems, we show that topological transitivity, min…

math.DS2018★ 5 cited

$C^{1}$ -openness of non-uniform hyperbolic diffeomorphisms with bounded $C^{2}$ norm

Chao Liang, Karina Marin, Jiagang Yang

We study the $C^{1}$ -topological properties of the subset of non-uniform hyperbolic diffeomorphisms in a certain class of $C^{2}$ partially hyperbolic symplectic systems which have bou…

math.DS2017★ 2 cited

A Generalization of Gauss-Kuzmin-Lévy Theorem

Peng Sun

We prove a generalized Gauss-Kuzmin-Lévy theorem for the $p$ -numerated generalized Gauss transformation $T_{p} (x) = {\frac{p}{x}} .$ In addition, we give an estimate for the constan…

math.DS2016★ 11 cited

Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle

Chao Liang, Karina Marin, Jiagang Yang

We consider the set of partially hyperbolic symplectic diffeomorphisms which are accessible, have 2-dimensional center bundle and satisfy some pinching and bunching conditions. In…

math.DS2015★ 1 cited

The $C^{1}$ density of nonuniform hyperbolicity in $C^{r}$ conservative diffeomorphisms

Chao Liang, Yun Yang

Let $\Diff^{ r}_m(M)$ be the set of $C^{r}$ volume-preserving diffeomorphisms on a compact Riemannian manifold $M$ ( $dim M \geq 2$ ). In this paper, we prove that the diffeomorphis…

math.DS2011★ 22 cited

Variational equalities of entropy in nonuniformly hyperbolic systems

Chao Liang, Gang Liao, Wenxiang Sun +1

In this paper we prove that for an ergodic hyperbolic measure $ω$ of a $C^{1 + α}$ diffeomorphism $f$ on a Riemannian manifold $M$ , there is an $ω$ -full measured set $Λ$ su…

math.DS2010★ 17 cited

Ergodic Properties of Invariant Measures for C^{1+α} nonuniformly hyperbolic systems

Chao Liang, Wenxiang Sun, Xueting Tian

For an ergodic hyperbolic measure $ω$ of a $C^{1 + α}$ diffeomorphism, there is an $ω$ full-measured set $Λ ~$ such that every nonempty, compact and connected subset $V$ of $\mat…

math.DS2010★ 6 cited

A diffeomorphism with global dominated splitting can not be minimal

Pengfei Zhang

Let M be a closed manifold and f be a diffeomorphism on M. We show that if f has a nontrivial dominated splitting TM=E\oplus F, then f can not be minimal. The proof mainly use Mane…

math.DS2010★ 9 cited

Partially hyperbolic sets with positive measure and $A C I P$ for partially hyperbolic systems

Pengfei Zhang

In [Discrete Contin. Dyn. Syst. \textbf{15} (2006), no. 3, 811--818.] Xia introduced a simple dynamical density basis for partially hyperbolic sets of volume preserving diffeomorph…

Equilibrium states of intermediate entropies

Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures

Unique ergodicity for zero-entropy dynamical systems with the approximate product property

Zero-entropy dynamical systems with the gluing orbit property

On the Entropy of Flows with Reparametrized Gluing Orbit Property

Minimality and Gluing Orbit Property

C1-openness of non-uniform hyperbolic diffeomorphisms with bounded C2 norm

A Generalization of Gauss-Kuzmin-Lévy Theorem

Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle

The C1 density of nonuniform hyperbolicity in Cr conservative diffeomorphisms

Variational equalities of entropy in nonuniformly hyperbolic systems

Ergodic Properties of Invariant Measures for C^{1+α} nonuniformly hyperbolic systems

A diffeomorphism with global dominated splitting can not be minimal

Partially hyperbolic sets with positive measure and ACIP for partially hyperbolic systems

$C^{1}$ -openness of non-uniform hyperbolic diffeomorphisms with bounded $C^{2}$ norm

The $C^{1}$ density of nonuniform hyperbolicity in $C^{r}$ conservative diffeomorphisms

Partially hyperbolic sets with positive measure and $A C I P$ for partially hyperbolic systems