An intermediate-value theorem for the upper quantization dimension

DOI10.1016/J.JMAA.2008.07.043zbMath1164.28009OpenAlexW1999094169MaRDI QIDQ947574

Sanguo Zhu

Publication date: 6 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.043

zbMATH Keywords

packing dimensionbox-counting dimensionquantization dimensionintermediate value theorem

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (1)

Asymptotic uniformity of the quantization error of self-similar measures

Cites Work

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• Some remarks on absolute continuity and quantization of probability measures
• The lower quantization coefficient of the \(F\)-conformal measure is positive
• Asymptotics of the quantization errors for self-similar probabilities
• Foundations of quantization for probability distributions
• Quantization dimension for condensation systems
• Quantization dimension for conformal iterated function systems
• Connecting ergodicity and dimension in dynamical systems
• The quantization error of self-similar distributions
• The Quantization Dimension of Self–Similar Probabilities
• Quantization
• Quantization for probability measures with respect to the geometric mean error
• Stability of quantization dimension and quantization for homogeneous Cantor measures

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