Abstract
We prove dynamical upper bounds for discrete one-dimensional Schrödinger 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.
Citation
Jonathan Breuer. Yoram Last. Yosef Strauss. "Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schrödinger operators." Duke Math. J. 157 (3) 425 - 460, 15 April 2011. https://doi.org/10.1215/00127094-2011-006
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