Mean topological dimension

Elon Lindenstrauss*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

215 Scopus citations


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
StatePublished - 2000


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