Published October 2000
| public
Journal Article
Singular Continuous Spectrum for a Class of Substitution Hamiltonians II
- Creators
- Damanik, David
Abstract
We consider discrete one-dimensional Schrödinger operators with aperiodic potentials generated by primitive substitutions. Using the three-block version of Gordon's criterion, we establish purely singular continuous spectrum with probability one provided that the potentials have index greater than three. It is also shown that one cannot use this criterion to prove uniform results.
Additional Information
© 2000 Kluwer Academic Publishers. Received: 9 May 2000. This work was supported by the German Academic Exchange Service through Hochschulsonderprogramm III (Postdoktoranden).Additional details
- Eprint ID
- 102163
- DOI
- 10.1023/a:1007697301341
- Resolver ID
- CaltechAUTHORS:20200330-075735330
- Deutscher Akademischer Austauschdienst (DAAD)
- Created
-
2020-03-30Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field