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

作者：Falconer Kenneth^*; Miao Jun

来源：Fractals-Complex Geometry Patterns and Scaling in Nature and Society, 2007, 15(3): 289-299.

DOI：10.1142/S0218348X07003587

• fractals
• multifractals
• self-affine

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

• 出版日期2007-9