Packing dimension of measures associated with \({\widetilde{Q}}\)-representation

DOI10.1007/s00009-011-0138-4zbMath1254.28007OpenAlexW2047406278MaRDI QIDQ1762373

Jinjun Li

Publication date: 23 November 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0138-4

zbMATH Keywords

\({\widetilde{Q}}\)-representationpacking dimension of measure

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)

Cites Work

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• The Hausdorff dimension of measures for iterated function systems which contract on average
• On the Hausdorff dimension of invariant measures of weakly contracting on average measurable IFS
• An equivalent definition of packing dimension and its application
• An exact formula for the measure dimensions associated with a class of piecewise linear maps
• Fractal properties of singular probability distributions with independent \(Q^{\ast}\)-digits
• A generalization of the Hutchinson measure
• Dimension of measures: the probabilistic approach
• On Hausdorff dimension of invariant measures arising from non-contractive iterated function systems
• Billingsley’s packing dimension

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