Change search
ReferencesLink to record
Permanent link

Direct link
Dynamics of the quasi-periodic Schrodinger cocycle at the lowest energy in the spectrum
2007 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 272, no 2, 397-442 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we consider the quasi-periodic Schrodinger cocycle over T-d (d >= 1) and, in particular, its projectivization. In the regime of large coupling constants and Diophantine frequencies, we give an affirmative answer to a question posed by M. Herman [21, p.482] concerning the geometric structure of certain Strange Nonchaotic Attractors which appear in the projective dynamical system. We also show that for some phase, the lowest energy in the spectrum of the associated Schrodinger operator is an eigenvalue with an exponentially decaying eigenfunction. This generalizes [39] to the multi-frequency case (d > 1).

Place, publisher, year, edition, pages
2007. Vol. 272, no 2, 397-442 p.
Keyword [en]
anderson localization, integrated density, lyapunov exponents, rotation number, t-d, operators, equations, continuity, potentials, attractors
URN: urn:nbn:se:kth:diva-16787ISI: 000247964500003OAI: diva2:334830
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Bjerklöv, Kristian
In the same journal
Communications in Mathematical Physics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 14 hits
ReferencesLink to record
Permanent link

Direct link