Explicit examples of arbitrarily large analytic ergodic potentials with zero Lyapunov exponent
2006 (English)In: Geometric and Functional Analysis, ISSN 1016-443X, E-ISSN 1420-8970, Vol. 16, no 6, 1183-1200 p.Article in journal (Refereed) Published
We give explicit examples of arbitrarily large analytic ergodic potentials for which the Schrodinger equation has zero Lyapunov exponent for certain energies. For one of these energies there is an explicit solution. In the quasi-periodic case we prove that one can have positive Lyapunov exponent on certain regions of the spectrum and zero on other regions. We also show the existence of 1-dependent random potentials with zero Lyapunov exponent.
Place, publisher, year, edition, pages
2006. Vol. 16, no 6, 1183-1200 p.
Schrodinger operators, quasi-periodic, Lyapunov exponents, reducibility, periodic schrodinger-operators, absolutely continuous-spectrum, rotation number, anderson localization, equations
IdentifiersURN: urn:nbn:se:kth:diva-16251ISI: 000243259300001OAI: oai:DiVA.org:kth-16251DiVA: diva2:334293
QC 201005252010-08-052010-08-05Bibliographically approved