Exceptional sets for self-affine fractals

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10 Citations (Scopus)

Abstract

Under certain conditions the 'singular value function' formula gives the Hausdorff dimension of self-affine fractals for almost all parameters in a family. We show that the size of the set of exceptional parameters is small both in the sense of Hausdorff dimension and Fourier dimension.

Original languageEnglish
Pages (from-to)669-684
Number of pages16
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume145
Issue number3
DOIs
Publication statusPublished - Nov 2008

Keywords

  • HAUSDORFF DIMENSION
  • PROJECTIONS

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