Below is the ascii version of the abstract for 02-7. The html version should be ready soon.

David Damanik and Michael Landrigan
Log-dimensional spectral properties of one-dimensional quasicrystals
(23K, Latex)

ABSTRACT.  We consider discrete one-dimensional Schr\"odinger operators on the whole line and establish a criterion for continuity of spectral measures with respect to $\log$-Hausdorff measures. We apply this result to operators with Sturmian potentials and thereby prove logarithmic quantum dynamical lower bounds for all coupling constants and almost all rotation numbers, uniformly in the phase.