Multifractal properties of typical convex functions (Q1673737)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multifractal properties of typical convex functions |
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Multifractal properties of typical convex functions (English)
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14 September 2018
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The authors study the singularity (multifractal) spectrum of continuous convex functions defined on \([0, 1]^d\). They obtain very different typical behaviors, by looking at general upper bounds for the Hausdorff dimension of the sets of points at which such functions have a pointwise exponent.
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multifractal spectrum
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typical/generic function
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Hölder singularity spectrum
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convexity
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