The quantization dimension of distributions (Q2758161)
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scientific article; zbMATH DE number 1679475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The quantization dimension of distributions |
scientific article; zbMATH DE number 1679475 |
Statements
30 November 2003
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probability measures
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quantization dimension
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Hausdorff dimension
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packing dimension
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box-counting dimension
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0.9100023
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0.90951777
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0.9078494
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0.9037576
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0.8954551
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The quantization dimension of distributions (English)
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In the paper under review, the author defines the lower and upper quantization dimensions of probability measures on \([0,1]^d\) and proves results on the relationship between these dimensions and other known dimensions such as the Hausdorff, box-counting and packing dimensions of \(P\).
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