Discrepancy of point sequences on fractal sets (Q2707264)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrepancy of point sequences on fractal sets |
scientific article |
Statements
1 April 2001
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discrepancy
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fractals
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halfspaces
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Discrepancy of point sequences on fractal sets (English)
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The authors study the discrepancy of point sets on fractal sets. More precisely, they prove that for (a class of) fractals with Hausdorff dimension \(s\), the \(L_2\)-discrepancy of an \(N\)-joint set with respect to halfspaces is larger than \(CN^{-(\frac 12+\frac 1{2s})}\). They use a method due to \textit{R. Alexander} [Invent. Math. 103, 279-296 (1991; Zbl 0721.11028)].
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