Dimensions of self-affine fractals and multifractals generated by upper triangular matrices

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Abstract

We consider calculation of the dimensions of self-affine fractals and multifractals that are the attractors of iterated function systems specified in terms of upper-triangular matrices. Using methods from linear algebra, we obtain explicit formulae for the dimensions that are valid in many

Original languageEnglish
Pages (from-to)289-299
Number of pages11
JournalFractals
Volume15
Issue number3
DOIs
Publication statusPublished - Sept 2007

Keywords

  • fractals
  • multifractals
  • self-affine
  • HAUSDORFF

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