31 citations · 95 across the 35 of their papers we have counts for
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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…
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 ${\bf a}=(a_{1},a_{2})\in\…
On variational principle for upper metric mean dimension with potential
Rui Yang, Ercai Chen, Xiaoyao Zhou
Borrowing the idea of topological pressure determining measure-theoretical entropy in topological dynamical systems, we establish a variational principle for upper metric mean dime…
Some notes on variational principle for metric mean dimension
Rui Yang, Ercai Chen, Xiaoyao Zhou
Firstly, we answer the problem 1 asked by Gutman and piewak in \cite{gs20}, then we establish a double variational principle for mean dimension in terms of R$\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…
Bowen's equations for upper metric mean dimension with potential
Rui Yang, Ercai Chen, Xiaoyao Zhou
Firstly, we introduce a new notion called induced upper metric mean dimension with potential, which naturally generalizes the definition of upper metric mean dimension with potenti…