2 papers
math.DS2026
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…
math.DS2025
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…