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Mean topological dimension

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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.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    Elon Lindenstrauss & Benjamin Weiss

Authors
  1. Elon Lindenstrauss
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  2. Benjamin Weiss
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Correspondence to Elon Lindenstrauss.

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Lindenstrauss, E., Weiss, B. Mean topological dimension. Isr. J. Math. 115, 1–24 (2000). https://doi.org/10.1007/BF02810577

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  • DOI: https://doi.org/10.1007/BF02810577

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