Hyperbolicity of the Trace Map for a Strongly Coupled Quasiperiodic Schrodinger Operator

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dc.creatorDe Simone, Emiliano
dc.creatorMarin, Laurent
dc.date2009-05-19
dc.date.accessioned2026-07-07T13:16:28Z
dc.date.available2026-07-07T13:16:28Z
dc.descriptionWe consider the trace map associated with the silver ratio Schrodinger operator as a diffeomorphism on the invariant surface associated with a given coupling constant and prove that the non-wandering set of this map is hyperbolic if the coupling is sufficiently large. As a consequence, for this values of the coupling constant, the local and global Hausdorff dimension and the local and global box counting dimension of the spectrum of this operator all coincide and are smooth functions of the coupling constant.
dc.description20 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0905.3082
dc.identifierhttp://arxiv.org/abs/0905.3082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230804
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37D15; 37B10; 82B44; 81Q10
dc.titleHyperbolicity of the Trace Map for a Strongly Coupled Quasiperiodic Schrodinger Operator
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