- 99-472 David Damanik
- Gordon-type arguments in the spectral theory of one-dimensional
Dec 7, 99
(auto. generated ps),
of related papers
Abstract. We review the recent developments in the spectral theory of discrete
one-dimensional Schr\"odinger operators with potentials generated by
substitutions and circle maps. We discuss how occurrences of local
repetitive structures allow for estimates of generalized eigenfunctions.
Among the recent applications of this general approach are almost sure and
uniform results on the absence of eigenvalues as well as continuity of the
spectral measures with respect to Hausdorff measures.