To go further
Falconer, K. (2004). Fractal geometry: mathematical foundations and applications. John Wiley & Sons.
Mandelbrot, B. B. (1983). The fractal geometry of nature (Vol. 173). Macmillan.
Mandelbrot, B. B. (1985). Self-affine fractals and fractal dimension. Physica scripta, 32(4), 257.
Lovejoy, S., & Schertzer, D. (1985). Generalized scale invariance in the atmosphere and fractal models of rain. Water Resources Research, 21(8), 1233-1250.
Mandelbrot, B. B. (1990). Negative fractal dimensions and multifractals. Physica A: Statistical Mechanics and its Applications, 163(1), 306-315.
Foroutan-Pour, K., Dutilleul, P., & Smith, D. L. (1999). Advances in the implementation of the box-counting method of fractal dimension estimation. Applied mathematics and computation, 105(2), 195-210.