Quantization dimension of random self-similar measures

DOI10.1016/j.jmaa.2009.08.026zbMath1227.60065OpenAlexW2031841329MaRDI QIDQ1043524

Meifeng Dai, Xiao Tan

Publication date: 9 December 2009

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.2009.08.026

zbMATH Keywords

random measurequantization dimensionrandom self-similar set

Mathematics Subject Classification ID

Random measures (60G57) Self-similar stochastic processes (60G18) Fractals (28A80)

Related Items (4)

ASYMPTOTIC ORDER OF THE GEOMETRIC MEAN ERROR FOR SELF-AFFINE MEASURES ON BEDFORD–MCMULLEN CARPETS ⋮ Quantization dimension function and Gibbs measure associated with Moran set ⋮ On the asymptotic uniformity of the quantization error for Moran measures on \(\mathbb{R}^1\) ⋮ Quantization dimension for some Moran measures

Cites Work

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• The dimension for random sub-self-similar set
• Probability properties and fractal properties of statistically recursive sets
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• Foundations of quantization for probability distributions
• The random shift set and random sub-self-similar set
• Quantization dimension of probability measures supported on Cantor-like sets
• Quantization dimension for conformal iterated function systems
• The Quantization of the Cantor Distribution
• Multidimensional asymptotic quantization theory with<tex>r</tex>th power distortion measures
• The Quantization Dimension of Self–Similar Probabilities

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