29 citations · 106 across the 33 of their papers we have counts for
4 papers · 2 filters
Mean dimension of full shifts
Masaki Tsukamoto
Let be a finite dimensional compact metric space and the full shift on the alphabet . We prove that its mean dimension is given by or depe…
Expansive multiparameter actions and mean dimension
Tom Meyerovitch, Masaki Tsukamoto
Mañé (1979) proved that if a compact metric space admits an expansive homeomorphism then it is finite dimensional. We generalize this theorem to multiparameter actions. The general…
Application of signal analysis to the embedding problem of -actions
Yonatan Gutman, Yixiao Qiao, Masaki Tsukamoto
We study the problem of embedding arbitrary -actions into the shift action on the infinite dimensional cube . We prove that if a…
From rate distortion theory to metric mean dimension: variational principle
Elon Lindenstrauss, Masaki Tsukamoto
The purpose of this paper is to point out a new connection between information theory and dynamical systems. In the information theory side, we consider rate distortion theory, whi…