Mean topological dimension

Elon Lindenstrauss*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

215 Scopus citations

Abstract

In this paper we present some results and applications of a new invariant for dynamical systems that can be viewed as a dynamical analogue of topological dimension. This invariant has been introduced by M. Gromov, and enables one to assign a meaningful quantity to dynamical systems of infinite topological dimension and entropy. We also develop an alternative approach that is metric dependent and is intimately related to topological entropy.

Original languageAmerican English
Pages (from-to)1-24
Number of pages24
JournalIsrael Journal of Mathematics
Volume115
DOIs
StatePublished - 2000

Fingerprint

Dive into the research topics of 'Mean topological dimension'. Together they form a unique fingerprint.

Cite this