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).

REFERENCES:

Rasband, S. N. "Fractal Dimension." Ch. 4 in Chaotic Dynamics of Nonlinear Systems. New York: Wiley, pp. 71-83, 1990.