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

The upper entropy index of a set and the Hausdorff dimension of its hyperspace (Q431172)

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scientific article; zbMATH DE number 6050536
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The upper entropy index of a set and the Hausdorff dimension of its hyperspace
scientific article; zbMATH DE number 6050536

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    The upper entropy index of a set and the Hausdorff dimension of its hyperspace (English)
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    26 June 2012
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    For a compact subset \(E\) of a separable metric space, the author used quasi-self-similarity to relate the Hausdorff dimension of the hyperspace of \(E\) to the upper entropy index of \(E\).
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    quasi-self-similarity
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    iterated function system
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    hyperspace
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