Qiang Huo

Mean dimension theory for infinite dimensional Bedford–McMullen sponges

Tsukamoto (2022) introduced the notion of Bedford–McMullen carpet system, a subsystem of $ ([0, 1]^{ \mathbb{N}}\times[0, 1]^{ \mathbb{N}}, {\rm{shift}}) $ whose metric mean dimension and mean Hausdorff dimension does not coincide in general. The aim of this paper is to develop t...