Search

Showing total 1 results
Start Over Publication Year Range This year Language english Journal proceedings of the american mathematical society Region israel

Refine your results

1 results

1. Mean dimension of natural extension of algebraic systems.

Author

Liang, Bingbing and Shi, Ruxi

Subjects
*CELLULAR automata, *ABELIAN groups, *ENDOMORPHISMS
Abstract

Mean dimension may decrease after taking the natural extension. In this paper we show that mean dimension is preserved by natural extension for an endomorphism on a compact metrizable abelian group. As an application, we obtain that the mean dimension of an algebraic cellular automaton coincides with the mean dimension of its natural extension, which strengthens a result of Burguet and Shi [Israel J. Math. (to appear).] with a different proof. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF