23 citations · 192 across the 39 of their papers we have counts for
5 papers · 1 filter
Topological Entropy on Points without Physical-like Behaviour
Eleonora Catsigeras, Xueting Tian, Edson Vargas
We study a class of asymptotically entropy-expansive diffeomorphisms with dominated splitting on a compact manifold , that satisfy the specification property. This class i…
Multifractal Analysis of The New Level Sets
Yiwei Dong, Xueting Tian
By an appropriate definition, we divide the irregular set into level sets. Then we characterize the multifractal spectrum of these new pieces by calculating their entropies. We als…
On the irregular points for systems with the shadowing property
Yiwei Dong, Piotr Oprocha, Xueting Tian
We prove that when is a continuous selfmap acting on compact metric space which satisfies the shadowing property, then the set of irregular points (i.e. points with div…
Nonexistence of Lyapunov Exponents for Matrix Cocycles
Xueting Tian
It follows from Oseledec Multiplicative Ergodic Theorem that the Lyapunov-irregular set of points for which the Oseledec averages of a given continuous cocycle diverge has zero mea…
Lyapunov `Non-typical' Points of Matrix Cocycles and Topological Entropy
Xueting Tian
It follows from Oseledec Multiplicative Ergodic Theorem (or Kingman's Sub-additional Ergodic Theorem) that the set of `non-typical' points for which the Oseledec averages of a give…