ENTROPY SPECTRUM OF SELF-AFFINE FRACTAL INTERFACES CREATED BY GENERATORS

Entropy spectrum of self-affine fractal interfaces created by contract ion maps is investigated. Interfaces are created by a single (or multi -) generator(s) all of whose segments have the same anisotropy of scal ing and different scaling factors. The whole interface is decomposed i nto many subsets and h (topological entropy), lambda (decay exponent), Do (divider dimension) and Dg (box dimension) of each subset are calc ulated. Entropy spectrum is obtained from the relation between h and l ambda. We find that H (Hurst or roughness exponent), Do and Dg for onl y the remaining subset at n = infinity are related as D-D = 1/H and D- B = 2 - H.