3 papers
math.DS2024
On the measure-theoretic pressure associated with Feldman-Katok metric and max-mean metric
Zhongxuan Yang, Xiaojun Huang, Jiajun Zhang
In this manuscript, we present modified Feldman-katok metric and modified max-mean metric, then apply them to examine the measure-theoretic pressure and topological pressure.
math.DS2024
A note on weak mean equicontinuity and strong mean sensitivity
Zhongxuan Yang, Xiaojun Huang
In this paper, we study the weak mean metric and give some properties by replacing the Besicovitch pseudometric with weak mean metric in the definition of mean equicontinuity and m…
math.DS2024
A note on weak Banach mean equicoontinuity
Zhongxuan Yang, Xiaojun Huang
Consider a topological dynamical system endowed with the metric . We introduce a novel function as $\overline{BF}(x, y) = \limsup_{n-m \rightarrow +\infty} \inf_{σ\in S…