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The upper entropy index of a set and the Hausdorff dimension of its hyperspace

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Abstract

For a compact subset E of a separable metric space, we use quasi-self-similarity to relate the Haudorff dimension of the hyperspace of E to the upper entropy indexof E.

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Authors and Affiliations

  1. Department of Mathematics, University of Louisville, Louisville, KY, 40292, USA

    Manav Das

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  1. Manav Das
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Correspondence to Manav Das.

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Communicated by Peter Friz.

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Das, M. The upper entropy index of a set and the Hausdorff dimension of its hyperspace. Monatsh Math 166, 371–378 (2012). https://doi.org/10.1007/s00605-011-0304-6

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  • DOI: https://doi.org/10.1007/s00605-011-0304-6

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