Uniform singular continuous spectrum for the period doubling Hamiltonian

Authors
Damanik, D
Citation
D. Damanik, Uniform singular continuous spectrum for the period doubling Hamiltonian, ANN HENRI P, 2(1), 2001, pp. 101-108
Citations number
24
Categorie Soggetti
Physics
Journal title
ANNALES HENRI POINCARE
ISSN journal
14240637 → ACNP
Volume
2
Issue
1
Year of publication
2001
Pages
101 - 108
Database
ISI
SICI code
1424-0637(2001)2:1<101:USCSFT>2.0.ZU;2-H
Abstract
We consider the ergodic family of Schrodinger operators generated by the pe riod doubling substitution and we prove that every element of this family h as purely singular continuous spectrum.