31 citations · 95 across the 35 of their papers we have counts for
4 papers · 1 filter
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…
Packing topological pressure for amenable group actions
Ziqing Ding, Ercai Chen, Xiaoyao Zhou
In this paper, we first prove the variational principle for amenable packing topological pressure. Then we obtain an inequality concerning amenable packing pressure for factor maps…
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…