Guerin C.A, Holschneider M.
Time-dependent scattering on fractal measures
(90K, PS (gzip-ed uuencoded))

ABSTRACT.  We study the time-evolution for the Schr{\"o}dinger equation and the wave equation on the line when the interaction term is a fractal measure. We relate the long-time localization properties of the wave-packets to a fractal dimension of the potential, namely the wavelet correlation dimension. For the wave equation, we also show how the wave-packets can be interpreted in terms of wavelet transform of the potential.