A family of exceptional parameters for non-uniform self-similar measures

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We present plane algebraic curves that have segments of points for which non uniform self-similar measures get singular. We calculate appropriate points on the curves using Mathematica. These points are in the parameter domain where we generically have absolute continuity of the measures,
Original languageEnglish
Article number19
JournalElectronic Communications in Probability
Volume16
Pages (from-to)192-199
Number of pages8
ISSN1083-589X
DOIs
Publication statusPublished - 12.04.2011
Externally publishedYes

    Research areas

  • Mathematics
  • Algebraic curves, Non-uniform self similar measures, Singularity

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