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

نویسندگان

  • Kenneth Falconer
  • Jun Miao
چکیده

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 cases.

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تاریخ انتشار 2006