Fractal Dimension
The term "fractal dimension" is sometimes used to refer to what is more commonly called the capacity dimension of a
fractal (which is, roughly speaking, the exponent
in the expression
,
where
is the minimum number of open sets of diameter
needed to
cover the set). However, it can more generally refer to any of the dimensions commonly
used to characterize fractals (e.g., capacity dimension,
correlation dimension, information
dimension, Lyapunov dimension, Minkowski-Bouligand
dimension).
fractal dimension