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      Almost Ballistic Transport for the Weakly Coupled Fibonacci Hamiltonian

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          Abstract

          We prove estimates for the transport exponents associated with the weakly coupled Fibonacci Hamiltonian. It follows in particular that the upper transport exponent \(\tilde \alpha^\pm_u\) approaches the value one as the coupling goes to zero. Moreover, for sufficiently small coupling, \(\tilde \alpha^\pm_u\) strictly exceeds the fractal dimension of the spectrum.

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          Most cited references 16

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          Localization Problem in One Dimension: Mapping and Escape

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            The spectrum of a quasiperiodic Schrödinger operator

             Andras Suto (1987)
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              Symbolic dynamics for the renormalization map of a quasiperiodic Schr�dinger equation

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                Author and article information

                Journal
                03 July 2013
                2013-10-13
                Article
                1307.0925

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                Israel J. Math. 206 (2015), 109-126
                13 pages
                math-ph math.DS math.MP math.SP

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