Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian
Published Web Locationhttps://doi.org/10.1007/s11856-014-1108-x
We prove estimates for the transport exponents associated with the weakly coupled Fibonacci Hamiltonian. It follows in particular that the upper transport exponent (Formula presented.) approaches the value one as the coupling goes to zero. Moreover, for sufficiently small coupling, (Formula presented.) strictly exceeds the fractal dimension of the spectrum. © 2014 Hebrew University of Jerusalem.