Iterated function systems with overlaps and multifractal structure (Q2752162)

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scientific article; zbMATH DE number 1665459
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Iterated function systems with overlaps and multifractal structure
scientific article; zbMATH DE number 1665459

    Statements

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    3 June 2002
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    invariant measures
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    overlapping
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    absolute continuity
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    singularity
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    multifractal structure
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    Iterated function systems with overlaps and multifractal structure (English)
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    In this survey the author discusses the recent achievements on the invariant measures generated by the overlapping similitudes. The emphases are on the absolute continuity and singularity, the multifractal structure, and the Fourier transform of such measures.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00044].
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