Quantization dimension estimate of probability measures on hyperbolic recurrent sets

DOI10.1080/14689367.2013.870127zbMath1334.37024OpenAlexW2020637718MaRDI QIDQ5418066

Mrinal Kanti Roychowdhury

Publication date: 26 May 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2013.870127

zbMATH Keywords

irreducible matrixquantization dimensiontemperature functionhyperbolic recurrent IFS

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Fractals (28A80) Dynamical systems with hyperbolic orbits and sets (37D05) Rate-distortion theory in information and communication theory (94A34)

Related Items (1)

Some Recent Developments in Quantization of Fractal Measures

Cites Work

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• The multifractal spectrum of statistically self-similar measures
• Self-conformal multifractal measures
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• Iterated function systems and the global construction of fractals
• Asymptotic quantization error of continuous signals and the quantization dimension
• Multifractal Decompositions of Digraph Recursive Fractals
• The Quantization Dimension of Self–Similar Probabilities

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