Abstract:

In this paper we introduce the notions of mean dimension and metric mean dimension for non-autonomous iterated function systems

(NAIFSs for short) on countably infinite alphabets which can be regarded as generalizations of the mean dimension and the Lindenstrauss metric mean dimension for non-autonomous iterated function systems. We also show the relationship between the mean topological dimension and the metric mean dimension.

Key words: Non-autonomous iterated function system, Mean dimension, Metric mean dimension