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.
CITATION STYLE
Lindenstrauss, E., & Weiss, B. (2000). Mean topological dimension. Israel Journal of Mathematics, 115, 1–24. https://doi.org/10.1007/BF02810577
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