A construction of singular overlapping asymmetric self-similar measures

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In [8] we found a class of overlapping asymmetric self-similar measures on the real line, which are generically absolutely continuous with respect to the Lebesgue measure. Here we construct exceptional measures in this class being singular.
Original languageEnglish
JournalActa Mathematica Hungarica
Volume113
Issue number4
Pages (from-to)333-343
Number of pages11
ISSN0236-5294
DOIs
Publication statusPublished - 12.2006

    Research areas

  • Mathematics
  • absolute continuity, self-similar measures, singularity

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