ASYMPTOTIC ORDER OF THE GEOMETRIC MEAN ERROR FOR SELF-AFFINE MEASURES ON BEDFORD–MCMULLEN CARPETS
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Publication:5112675
DOI10.1142/S0218348X2050036XzbMath1434.28010arXiv1902.11144MaRDI QIDQ5112675
Publication date: 4 June 2020
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.11144
Cites Work
- On the quantization for self-affine measures on Bedford-McMullen carpets
- Asymptotics of the geometric mean error in the quantization for product measures on Moran sets
- The local quantization behavior of absolutely continuous probabilities
- Quantization dimension of random self-similar measures
- A note on the quantization for probability measures with respect to the geometric mean error
- A class of self-affine sets and self-affine measures
- Asymptotics of the quantization errors for self-similar probabilities
- The singularity spectrum for general Sierpiński carpets
- Foundations of quantization for probability distributions
- Quantization dimension for conformal iterated function systems
- Some Recent Developments in Quantization of Fractal Measures
- The point density measure in the quantization of self-similar probabilities
- The quantization for self-conformal measures with respect to the geometric mean error
- Multifractal analysis for Bedford–McMullen carpets
- The Hausdorff dimension of general Sierpiński carpets
- Optimal quantization for dyadic homogeneous Cantor distributions
- Generalized dimensions of measures on almost self-affine sets
- The self-affine carpets of McMullen and Bedford have infinite Hausdorff measure
- Asymptotic order of the quantization errors for a class of self-affine measures
- Quantization
- Quantization for probability measures with respect to the geometric mean error
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