Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian

作者:Damanik David*; Gorodetski Anton
来源:Israel Journal of Mathematics, 2015, 206(1): 109-126.
DOI:10.1007/s11856-014-1108-x

摘要

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

  • 出版日期2015-2