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Explicit examples of arbitrarily large analytic ergodic potentials with zero Lyapunov exponent
2006 (engelsk)Inngår i: Geometric and Functional Analysis, ISSN 1016-443X, E-ISSN 1420-8970, Vol. 16, nr 6, s. 1183-1200Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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.

sted, utgiver, år, opplag, sider
2006. Vol. 16, nr 6, s. 1183-1200
Emneord [en]
Schrodinger operators, quasi-periodic, Lyapunov exponents, reducibility, periodic schrodinger-operators, absolutely continuous-spectrum, rotation number, anderson localization, equations
Identifikatorer
URN: urn:nbn:se:kth:diva-16251ISI: 000243259300001OAI: oai:DiVA.org:kth-16251DiVA, id: diva2:334293
Merknad
QC 20100525Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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