SCALING PROPERTIES OF QUASI-CRYSTALLINE SUBSTITUTIONAL CHAINS

The scaling properties of 1-dimensional quasi-crystalline chains are c ompared with those of electron spectra for these structures. It is sho wn that the scaling exponents are not only determined by the incommens urability, but also by the specific structure. Chains obtained by bina ry substitutions are compared. For these chains the order of the lette rs is as important as the substitution matrix. In general one has crit ical and localized states.