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Multifractal formalism for self-similar measures with weak separation condition - MaRDI portal

Multifractal formalism for self-similar measures with weak separation condition (Q734320)

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scientific article; zbMATH DE number 5618743
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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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