31 citations · 127 across the 63 of their papers we have counts for
63 papers
Maximizing Families and Typical Periodic Optimization for Almost Additive Sequences
XiaoYu Zhang, Ercai Chen, Xiaoyao Zhou
In this paper, we study typical periodic optimization (TPO) for almost additive potentials in two perturbation spaces. Our main setting is the Banach quotient $\mathcal E_{\rm orb}…
Entropy Scales in Topological Dynamical Systems
Yunxiang Xie, Ercai Chen, Xiaoyao Zhou
Motivated by Helfter's notion of scaling, we define Bowen, upper capacity, and local measure-theoretic entropy scales. Under a controlled decay condition, we establish a variationa…
Katok's intermediate entropy conjecture for amenable group actions
Yage Liu, Ercai Chen, Xiaoyao Zhou
In this paper, we investigate a broad class of systems for which Katok's intermediate entropy conjecture holds. In particular, we show that a dynamical system with an amenable grou…
Ergodic measures of intermediate entropies for -action
Yage Liu, Ercai Chen, Xiaoyao Zhou
For dynamical systems satisfying the approximate or -product property and asymptotically entropy expansiveness, we establish a precise descriptio…
Dimensions and entropies for an expansive homeomorphism
Ercai Chen, Tassilo Küpper, Yunxiang Xie
For an expansive homeomorphism, we investigate the relationship among dimension, entropy, and Lyapunov exponents. Motivated by Young's formula for surface diffeomorphisms, which li…
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…