Multifractality of overlapping non-uniform self-similar measures

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

Original languageEnglish
JournalMonatshefte für Mathematik
Issue number3
Pages (from-to)461-469
Number of pages9
Publication statusPublished - 12.07.2015

    Research areas

  • Mathematics
  • Dimension spectrum, Local dimension, Multifractal analysis, Potential theory, Self-similar measures, Transversality