no code implementations • 5 Jan 2021 • Lei Jin, Kyewon Koh Park, Yixiao Qiao
For every infinite (countable discrete) amenable group $G$ and every positive integer $d$ we construct a minimal $G$-action of mean dimension $d/2$ which cannot be embedded in the full $G$-shift on $([0, 1]^d)^G$.
Dynamical Systems
no code implementations • 6 Sep 2018 • Dou Dou, Kyewon Koh Park
Entropy dimension is an entropy-type quantity which takes values in $[0, 1]$ and classifies different levels of intermediate growth rate of complexity for dynamical systems.
Dynamical Systems 37A35, 37A05, 54H20
