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

DOI10.1007/S00605-011-0304-6zbMath1250.28003OpenAlexW1993624796MaRDI QIDQ431172

Manav Das

Publication date: 26 June 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0304-6

zbMATH Keywords

hyperspaceiterated function systemquasi-self-similarity

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

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• On some nonlinear nonisotropic quasi-self-similar functions
• The multifractal spectrum of quasi self-similar measures
• Multi-fractal formalism for quasi-self-similar functions
• A Note on Hausdorff Measures of Quasi-Self-Similar Sets
• Discrete conformal groups and measurable dynamics
• SOME RESULTS CONCERNING THE DIMENSION OF THE SPACE OF COMPACT SUBSETS OF THE UNIT INTERVAL
• Hausdorff Measure Functions in the Space of Compact Subsets of the Unit Interval
• Dimensions and Measures of Quasi Self-Similar Sets
• SOME HAUSDORFF MEASURE PROPERTIES OF THE SPACE OF COMPACT SUBSETS OF [0,1]

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