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Multifractality of overlapping non-uniform self-similar measures

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Abstract

We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain where the open set condition fails to hold.

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Authors and Affiliations

  1. Leuphana University Lüneburg, Scharnhorststr. 1, C12.204, 21335 , Lüneburg, Germany

    J. Neunhäuserer

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  1. J. Neunhäuserer
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Correspondence to J. Neunhäuserer.

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Communicated by H. Bruin.

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Neunhäuserer, J. Multifractality of overlapping non-uniform self-similar measures. Monatsh Math 177, 461–469 (2015). https://doi.org/10.1007/s00605-014-0658-7

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  • DOI: https://doi.org/10.1007/s00605-014-0658-7

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