J. Peinke et al., A NEW APPROACH TO CHARACTERIZE DISORDERED STRUCTURES, Zeitschrift fur Naturforschung. A, A journal of physical sciences, 52(8-9), 1997, pp. 588-592
A new application of the theory of Markov processes to the characteriz
ation of fractal scaling behavior is presented. We show under which co
ndition distinct stochastic processes of a cascade lead to multifracta
l scaling behavior. We apply our method to the analysis of the statist
ical properties of the energy in turbulent fluid flow.