2 INVERSE PROBLEMS INDUCED BY MULTIFRACTAL PHENOMENA

In frame of the phenomena revealing multifractality, two inverse probl ems are formulated and their solution is outlined; namely, (i) to what extent the indices characterizing scaling properties of dynamical flu ctuations (specified by factorial moments) are determined by means of power law indices tau(q) which characterize scaling properties of the associated frequency moments, the later moments representing asymptoti cs (for sufficiently large multiplicities) of the former ones, and (ii ) to what extent the scaling indices tau(q) are determined by their as ymptotic properties (at large absolute value of the order q ascribed t o the associated frequency moments and taken at a finite and fixed ene rgy).