1 citations · 3 across the 6 of their papers we have counts for
8 papers
Irregular set and metric mean dimension with potential
Tianlong Zhang, Ercai Chen, Xiaoyao Zhou
Let be a dynamical system with the specification property and be a continuous function. In this paper, we consider the multifractal irregular set \begin{align*} I_φ=\le…
Multifractal level sets and metric mean dimension with potential
Tianlong Zhang, Ercai Chen, Xiaoyao Zhou
Let be a dynamical system with the specification property and be continuous functions. In this paper, we establish some conditional variational principles for the upper…
Group Extensions for Random Shifts of Finite Type
Kexiang Yang, Ercai Chen, Zijie Lin +1
Symbolic dynamical theory plays an important role in the research of amenability with a countable group. Motivated by the deep results of Dougall and Sharp, we study the group exte…
Weighted Topological Entropy of Random Dynamical Systems
Kexiang Yang, Ercai Chen, Zijie Lin +1
Let be continuous bundle random dynamical systems over an ergodic compact metric system . Assume that ${\bf a}=(a_{1},a_{2})\in\…
The Historic Set of Ergodic Averages in Some Nonuniformly Hyperbolic Systems
Zheng Yin, Ercai Chen, Xiaoyao Zhou
This article is devoted to the study of the historic set of ergodic averages in some nonuniformly hyperbolic systems. In particular, our results hold for the robust classes of mult…
Topological pressure dimension for almost additive potentials
Lei Liu, Huajun Gong, Xiaoyao Zhou
This paper is devoted to the study of the topological pressure dimension for almost additive sequences, which is an extension of topological entropy dimension. We investigate funda…