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On the dimension of self‐similar measures with complicated overlaps

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  • Balázs Bárány
  • Edina Szvák

Abstract

In this paper, we investigate the Hausdorff dimension of the invariant measures of the iterated function system (IFS) {αx,βx,γx+(1−γ)}. We provide an “almost every” type result by a direct application of the results of Feng and Hu [5] and Kamalutdinov and Tetenov [9].

Suggested Citation

  • Balázs Bárány & Edina Szvák, 2021. "On the dimension of self‐similar measures with complicated overlaps," Mathematische Nachrichten, Wiley Blackwell, vol. 294(4), pages 657-671, April.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:4:p:657-671
    DOI: 10.1002/mana.201900062
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