Half-line eigenfunction estimates and singular continuous spectrum of zero Lebesgue measure
| dc.creator | Damanik, David | |
| dc.creator | Lenz, Daniel | |
| dc.date | 1999-05-18 | |
| dc.date | 1999-10-15 | |
| dc.date.accessioned | 2026-07-07T05:29:06Z | |
| dc.date.available | 2026-07-07T05:29:06Z | |
| dc.description | We consider discrete one-dimensional Schrödinger operators with strictly ergodic, aperiodic potentials taking finitely many values. The well-known tendency of these operators to have purely singular continuous spectrum of zero Lebesgue measure is further elucidated. We provide a unified approach to both the study of the spectral type as well as the measure of the spectrum as a set. We apply this approach to Schrödinger operators with Sturmian potentials. Finally, in the appendix, we discuss the two different strictly ergodic dynamical systems associated to a circle map. | |
| dc.description | 15 pages; extended and corrected version of the paper "Half-line eigenfunction estimates and stability of singular continuous spectrum"; contains thorough discussion of pure point spectrum arising in the models in question under rank one perturbations | |
| dc.identifier | https://arxiv.org/abs/math/9905099 | |
| dc.identifier | http://arxiv.org/abs/math/9905099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78512 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81Q10, 47B80 | |
| dc.title | Half-line eigenfunction estimates and singular continuous spectrum of zero Lebesgue measure | |
| dc.type | text |