Barbaroux J.M., Combes J.M., Montcho R.
Remarks on the relation between quantum dynamics and fractal spectra.
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ABSTRACT.  We investigate the large time behaviour of various solutions 
of the Schr\"odinger equation in terms of some local and global 
dimensions of the spectral measure. We emphasize in particular the 
r\^ole of the Hausdorff and correlation dimensions for the growth 
exponents of position moments We also discuss the stability of such 
exponents under local perturbations.