Multifractal formalism for self-similar measures with weak separation condition (Q734320)
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scientific article; zbMATH DE number 5618743
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multifractal formalism for self-similar measures with weak separation condition |
scientific article; zbMATH DE number 5618743 |
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Multifractal formalism for self-similar measures with weak separation condition (English)
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20 October 2009
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An unified result about the multifractal structure of self-similar measures with the weak separation condition is proved. The main idea is to express the dimension spectrum of such a measure in terms of the Legendre transform of its \(L^q\)-spectrum.
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\(L^q\)-spectrum
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Legendre transform
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Moran structure
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Erdős measure
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Hausdorff dimension
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iterated function system (IFS)
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weak separation conditin (WSC)
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