Jonathan Breuer, Yoram Last, Yosef Strauss
Eigenvalue Spacings and Dynamical Upper Bounds for Discrete One-Dimensional Schroedinger Operators
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ABSTRACT.  We prove dynamical upper bounds for discrete one-dimensional Schroedinger operators in terms of various spacing properties of the eigenvalues of finite volume approximations. We demonstrate the 
applicability of our approach by a study of the Fibonacci Hamiltonian.