Author:
M. Peñaranda-Vélez Victor,E. Puente Carlos,J. Mesa Óscar,I. Quintanar Arturo
Abstract
The space--time structure of rainfall is one of most complex problem to be solve in geophysics and atmosphere sciences. Rainfall has been studied in similar fashion as turbulence phenomena, therefore, many mathematical tools applied to the study of turbulence have also been used for the description of rainfall. The tools to be shown in this chapter were born in the fractal theory for explaining complexity and non-linear processes; they are related to the analysis of multi-scaling dynamics and the emergence of complex patterns. The Fractal-Multifractal approach and Multiplicative Random Cascade models will be discussed in the chapter, furthermore, some applications of these techniques for the analysis of rainfall will also be exhibited.