Macroscopic dimension of the ${\ell }^p$-ball with respect to the ${\ell }^q$-norm

Abstract

We show estimates of the "macroscopic dimension" of the ${\ell }^p$-ball with respect to the ${\ell }^q$-norm.

10 pages

References in corpus (2)

• Moduli space of Brody curves, energy and mean dimension
• Deformation of Brody curves and mean dimension

Cited by in corpus (1)

• Concentration of 1-Lipschitz maps into an infinite dimensional ${\ell }^p$-ball with ${\ell }^q$-distance function