9 citations · 10 across the 5 of their papers we have counts for
9 papers
Strongly distributional chaos in the sets of twelve different types of non-recurrent points
An Chen, Xiaobo Hou, Wanshan Lin +1
In present paper we mainly focus on non-recurrent dynamical orbits with empty syndetic center and show that twelve different statistical structures over mixing expanding maps or tr…
Topological structures on saturated sets, optimal orbits and equilibrium states
Xiaobo Hou, Xueting Tian, Yiwei Zhang
Pfister and Sullivan proved that if a topological dynamical system satisfies almost product property and uniform separation property, then for each nonempty compact %convex…
Physical-like Measures Coincide with Invariant Measures Supported on Chain Recurrent Classes
Xueting Tian
For generic continuous maps or homeomorphisms on compact Riemannian manifold, we prove that (1) the space of physical-like measures coincides with the set of invariant measur…
Laypunov Irregular Points With Distributional Chaos
An Chen, Xueting Tian
It follows from Oseledec Multiplicative Ergodic Theorem (or Kingmans Subadditional Ergodic Theorem) that the Lyapunov-irregular set of points for which the Oseledec averages of a g…
Unstable entropies and Dimension Theory of Partially Hyperbolic Systems
Xueting Tian, Weisheng Wu
In this paper we define unstable topological entropy for any subsets (not necessarily compact or invariant) in partially hyperbolic systems as a Carathéodory dimension characterist…
Distributional chaos in multifractal analysis, recurrence and transitivity
An Chen, Xueting Tian
There are lots of results to study dynamical complexity on irregular sets and level sets of ergodic average from the perspective of density in base space, Hausdorff dimension, Lebe…