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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.

### Most cited references16

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### Localization Problem in One Dimension: Mapping and Escape

(1983)
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### The spectrum of a quasiperiodic Schrödinger operator

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

(1986)
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### Author and article information

###### Journal
03 July 2013
2013-10-13
###### Article
1307.0925