Quantization dimension for some Moran measures

DOI10.1090/S0002-9939-2010-10406-9zbMath1213.37018MaRDI QIDQ3056547

Mrinal Kanti Roychowdhury

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quantization dimensionMoran measuretemperature function

Mathematics Subject Classification ID

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

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BOUNDED VARIATION ON THE SIERPIŃSKI GASKET ⋮ Canonical sequences of optimal quantization for condensation measures ⋮ Quantization dimension and temperature function for recurrent self-similar measures ⋮ Quantization dimension and temperature function for bi-Lipschitz mappings ⋮ On the upper and lower quantization coefficient for probability measures on multiscale Moran sets ⋮ Asymptotic order of the quantization errors for a class of self-affine measures ⋮ Quantization dimension for Gibbs-like measures on cookie-cutter sets ⋮ Quantization dimension function and Gibbs measure associated with Moran set ⋮ Quantization dimension for infinite self-similar probabilities ⋮ Some Recent Developments in Quantization of Fractal Measures

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