Uniform dynamical bounds for the Fibonacci Hamiltonian

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dc.creatorDamanik, David
dc.date2001-12-08
dc.date.accessioned2026-07-07T04:28:48Z
dc.date.available2026-07-07T04:28:48Z
dc.descriptionWe prove quantum dynamical upper bounds for operators from the Fibonacci hull. These bounds hold for sufficiently large coupling and they are uniform in the phase. This extends recent work by Killip, Kiselev and Last who obtained these bounds for one particular phase. The main ingredient in our proof is a detailed combinatorial analysis of the sequences in the Fibonacci hull.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0112013
dc.identifierhttp://arxiv.org/abs/math-ph/0112013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56929
dc.subjectMathematical Physics
dc.subject81Q10, 47B80, 68R15
dc.titleUniform dynamical bounds for the Fibonacci Hamiltonian
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