Scaling of mathematical fractals and box-counting quasi-measure

@article{Borodich2010ScalingOM,
  title={Scaling of mathematical fractals and box-counting quasi-measure},
  author={Feodor M. Borodich and Zhigang Feng},
  journal={Zeitschrift f{\"u}r angewandte Mathematik und Physik},
  year={2010},
  volume={61},
  pages={21-31}
}
The same term, ‘fractals’ incorporates two rather different meanings and it is convenient to split the term into physical or empirical fractals and mathematical ones. The former term is used when one considers real world or numerically simulated objects exhibiting a particular kind of scaling that is the so-called fractal behaviour, in a bounded range of scales between upper and lower cutoffs. The latter term means sets having non-integer fractal dimensions. Mathematical fractals are often used… CONTINUE READING

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