23 citations · 192 across the 39 of their papers we have counts for
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math.DS2018★ 1 cited
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…
math.DS2018★ 1 cited
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…
math.DS2018★ 2 cited
Different Statistical Future of Dynamical Orbits over Expanding or Hyperbolic Systems (II): Nonempty Syndetic Center
Yiwei Dong, Xueting Tian
In [30] different statistical behavior of dynamical orbits without syndetic center are considered. In present paper we continue this project and consider different statistical beha…