Quantization coefficients in infinite systems

DOI10.1215/21562261-3089118zbMath1378.60013arXiv1306.2797OpenAlexW980318296MaRDI QIDQ906619

Eugen Mihailescu, Mrinal Kanti Roychowdhury

Publication date: 22 January 2016

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

Full work available at URL: https://arxiv.org/abs/1306.2797

zbMATH Keywords

quantization dimensionconvergence of probability measures, \(L_r\)-Kantorovich-Wasserstein metricquantization for infinite iterated function systemsself-similar measures on limit sets

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Approximations to statistical distributions (nonasymptotic) (62E17) Self-similar stochastic processes (60G18)

Related Items (4)

Asymptotic order of the quantization errors for a class of self-affine measures ⋮ Asymptotic uniformity of the quantization error for the Ahlfors-David probability measures ⋮ On the asymptotic uniformity of the quantization error for Moran measures on \(\mathbb{R}^1\) ⋮ Unnamed Item

Cites Work

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• Dimensions and Measures in Infinite Iterated Function Systems

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