A method is discussed to analyze multifractal properties of spectra and wave functions by means of an entropy function. The method is exemplified on a model for lattice vibrations in an incommensurate crystal phase. It is shown that the model has a spectrum with scaling properties. Moreover, it is probably singular continuous, which is a rather exceptional case. This is even true when the spectrum becomes a fat fractal. The scaling properties of the mode wave functions are discussed.
No takes yet. Share an insight, caveat, or question.
Janssen et al. (1988) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: