Stability of quantization dimension and quantization for homogeneous Cantor measures

DOI10.1002/mana.200410519zbMath1127.28003OpenAlexW1996894221MaRDI QIDQ5296696

Sanguo Zhu, Marc Kesseböhmer

Publication date: 3 August 2007

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200410519

zbMATH Keywords

stabilityHausdorff dimensionquantizationpacking dimensionhomogeneous Cantor measures

Mathematics Subject Classification ID

Hausdorff and packing measures (28A78)

Related Items (13)

Unnamed Item ⋮ Canonical sequences of optimal quantization for condensation measures ⋮ Optimal quantization for uniform distributions on Cantor-like sets ⋮ Some remarks on absolute continuity and quantization of probability measures ⋮ Asymptotic optimality of scalar Gersho quantizers ⋮ Quantization dimensions of compactly supported probability measures via Rényi dimensions ⋮ Optimal quantization for dyadic homogeneous Cantor distributions ⋮ Quantization dimension for condensation systems. II. The geometric mean error ⋮ Optimal quantization of probabilities concentrated on small balls ⋮ An intermediate-value theorem for the upper quantization dimension ⋮ Quantization dimension of probability measures supported on Cantor-like sets ⋮ Asymptotic order of quantization for Cantor distributions in terms of Euler characteristic, Hausdorff and packing measure ⋮ Some Recent Developments in Quantization of Fractal Measures

Cites Work

• Unnamed Item
• Unnamed Item
• Foundations of quantization for probability distributions
• The quantization error of self-similar distributions

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