Multiscale Analysis for Ergodic Schrödinger operators and positivity of Lyapunov exponents

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dc.creatorKrueger, Helge
dc.date2009-05-12
dc.date.accessioned2026-07-07T13:14:03Z
dc.date.available2026-07-07T13:14:03Z
dc.descriptionA variant of multiscale analysis for ergodic Schrödinger operators is developed. This enables us to prove positivity of Lyapunov exponents given initial scale estimates and an initial Wegner estimate. This is then applied to high dimensional skew-shifts at small coupling, where initial conditions are checked using the Pastur--Figotin formalism. Furthermore, it is shown that for potentials generated by the doubling map one has positive Lyapunov exponent except in a superpolynomially small set.
dc.identifierhttps://arxiv.org/abs/0905.1791
dc.identifierhttp://arxiv.org/abs/0905.1791
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230088
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject81Q10; 37D25
dc.titleMultiscale Analysis for Ergodic Schrödinger operators and positivity of Lyapunov exponents
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