Mean dimension and metric mean dimension for non-autonomous dynamical systems

Abstract

In this paper we extend the definitions of mean dimension and metric mean di-mension for non-autonomous dynamical systems. We show some properties of this extension and furthermore some applications to the mean dimension and metric mean dimension of single continuous maps.

References in corpus (5)

• Embedding minimal dynamical systems into Hilbert cubes
• Rate distortion theory, metric mean dimension and measure theoretic entropy
• Coupling methods for random topological Markov chains
• Optimal transport and dynamics of expanding circle maps acting on measures
• On the Continuity of the Topological Entropy of Non-autonomous Dynamical Systems

Cited by in corpus (3)

• A variational principle for the metric mean dimension of level sets
• Topological entropy dimension on subsets for nonautonomous dynamical systems
• Properties of mean dimension and metric mean dimension coming from the topological entropy