1 citations · 4 across the 10 of their papers we have counts for
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Nonlinear thermodynamic formalism for correspondences
Dingxuan Tang, Rui Yang, Zhiming Li
We develop a nonlinear thermodynamic formalism for correspondences on compact metric spaces. A continuous energy is evaluated on empirical measures of successive pairs of states. T…
Variational principle for weighted amenable topological pressure
Jiao Yang, Ercai Chen, Rui Yang +1
This paper aims to investigate the thermodynamic formalism of weighted amenable topological pressure for factor maps of amenable group actions. Following the approach of Tsukamoto…
Upper metric mean dimensions with potential of -stable sets
Rui Yang, Ercai Chen, Xiaoyao Zhou
It is well-known that -stable sets have a deep connection with the topological entropy of dynamical systems. In the present paper, we investigate the relationships of three type…
Variational principle for neutralized Bowen topological entropy
Rui Yang, Ercai Chen, Xiaoyao Zhou
Ovadia and Rodriguez-Hertz defined neutralized Bowen open ball as We introduce the notion of neutrali…
Variational principle for random pressure function
Rui Yang, Ercai Chen, Xiaoyao Zhou
For random dynamical systems, by summarizing the fundamental properties of Kifer's topological pressure we introduce the concept of random pressure functions, and define Ruelle's m…
Variational principles for Feldman-Katok metric mean dimension
Yunxiang Xie, Ercai Chen, Rui Yang
We introduce the notion of Feldman-Katok metric mean dimensions in this note. We show metric mean dimensions defined by different metrics coincide under weak tame growth of coverin…
On variational principle for upper metric mean dimension with potential
Rui Yang, Ercai Chen, Xiaoyao Zhou
Borrowing the idea of topological pressure determining measure-theoretical entropy in topological dynamical systems, we establish a variational principle for upper metric mean dime…
Some notes on variational principle for metric mean dimension
Rui Yang, Ercai Chen, Xiaoyao Zhou
Firstly, we answer the problem 1 asked by Gutman and piewak in \cite{gs20}, then we establish a double variational principle for mean dimension in terms of R$\bar{…
Metric mean dimension of flows
Rui Yang, Ercai Chen, Xiaoyao Zhou
The present paper aims to investigate the metric mean dimension theory of continuous flows. We introduce the notion of metric mean dimension for continuous flows to characterize th…
Measure-theoretic metric mean dimension
Rui Yang, Ercai Chen, Xiaoyao Zhou
For infinite measure-theoretic entropy systems, we introduce the notion of measure-theoretic metric mean dimension of invariant measures for different types of measure-theoretic $ε…