1 citations · 2 across the 5 of their papers we have counts for
6 papers · 2 filters
Mean dimension of Bernstein spaces and universal real flows
Lei Jin, Yixiao Qiao, Siming Tu
We study the action of translation on the spaces of uniformly bounded continuous functions on the real line which are uniformly band-limited in a compact interval. We prove that tw…
Directional mean dimension and continuum-wise expansive -actions
Sebastián Donoso, Lei Jin, Alejandro Maass +1
We study directional mean dimension of -actions (where is a positive integer). On the one hand, we show that there is a -action whose directional me…
Sofic mean dimension of typical actions and a comparison theorem
Lei Jin, Yixiao Qiao
We refine two results in the paper entitled "Sofic mean dimension" by Hanfeng Li, improving two inequalities with two equalities, respectively, for sofic mean dimension of typical…
Mean dimension of product spaces: a fundamental formula
Lei Jin, Yixiao Qiao
Mean dimension is a topological invariant of dynamical systems, which originates with Mikhail Gromov in 1999 and which was studied with deep applications around 2000 by Elon Linden…
The Hilbert cube contains a minimal subshift of full mean dimension
Lei Jin, Yixiao Qiao
We construct a minimal dynamical system of mean dimension equal to , which can be embedded in the shift action on the Hilbert cube . This clarifies a seemingly…
Mean dimension and a non-embeddable example for amenable group actions
Lei Jin, Kyewon Koh Park, Yixiao Qiao
For every infinite (countable discrete) amenable group and every positive integer we construct a minimal -action of mean dimension which cannot be embedded in the…