The lower quantization coefficient of the \(F\)-conformal measure is positive

DOI10.1016/J.NA.2007.05.031zbMath1152.28011OpenAlexW2059440129MaRDI QIDQ939405

Sanguo Zhu

Publication date: 22 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.05.031

zbMATH Keywords

quantization coefficientconformal iterated function system

Mathematics Subject Classification ID

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

Related Items (4)

Quantization coefficients in infinite systems ⋮ Quantization coefficients for ergodic measures on infinite symbolic space ⋮ An intermediate-value theorem for the upper quantization dimension ⋮ Some Recent Developments in Quantization of Fractal Measures

Cites Work

• Self-conformal multifractal measures
• Asymptotics of the quantization errors for self-similar probabilities
• Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
• Quantization dimension of probability measures supported on Cantor-like sets
• Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets
• Quantization dimension for conformal iterated function systems
• Quantization for Probability Measures in the Prokhorov Metric
• The Quantization Dimension of Self–Similar Probabilities
• Quantization

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