Mean topological dimension |
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Authors: | Elon Lindenstrauss Benjamin Weiss |
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Institution: | (1) Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel |
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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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Keywords: | |
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