One of the many natural processes  exhibiting multifractal character is turbulence.  Papasimakis, N., Pallikari, F. (2006). Markov Memory in Multifractal Natural Processes. Fractal 2006. In Complexus Mundi. Emergent Patterns in Nature, Miroslav N. Novak (editor). World Scientific Publishing Co. 53-62.                                                                                                                                                       (PowerPoint Presentation)