The point density measure in the quantization of self-similar probabilities
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Publication:3021806
DOI10.1017/S030500410500842XzbMath1084.28006OpenAlexW2160486955MaRDI QIDQ3021806
Harald Luschgy, Siegfried Graf
Publication date: 21 June 2005
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s030500410500842x
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On the quantization for self-affine measures on Bedford-McMullen carpets ⋮ Optimal quantization for uniform distributions on Cantor-like sets ⋮ Some remarks on absolute continuity and quantization of probability measures ⋮ Asymptotic optimality of scalar Gersho quantizers ⋮ Asymptotics of one-dimensional Lévy approximations ⋮ 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 ⋮ ASYMPTOTIC ORDER OF THE GEOMETRIC MEAN ERROR FOR SELF-AFFINE MEASURES ON BEDFORD–MCMULLEN CARPETS ⋮ Asymptotic uniformity of the quantization error of self-similar measures ⋮ Quantization dimension for condensation systems. II. The geometric mean error ⋮ Optimal quantization of probabilities concentrated on small balls ⋮ Quantization dimension of probability measures supported on Cantor-like sets ⋮ Asymptotic order of quantization for Cantor distributions in terms of Euler characteristic, Hausdorff and packing measure ⋮ Quantization of probability distributions under norm-based distortion measures. II: Self-similar distributions ⋮ Functional quantization of a class of Brownian diffusions: a constructive approach ⋮ Fractal functional quantization of mean-regular stochastic processes ⋮ Some Recent Developments in Quantization of Fractal Measures ⋮ Asymptotically optimal quantization schemes for Gaussian processes on Hilbert spaces
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