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most citedThe Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian

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math.SP2008

Quantum Dynamics via Complex Analysis Methods: General Upper Bounds Without Time-Averaging and Tight Lower Bounds for the Strongly Coupled Fibonacci Hamiltonian

David Damanik, Serguei Tcheremchantsev

We develop further the approach to upper and lower bounds in quantum dynamics via complex analysis methods which was introduced by us in a sequence of earlier papers. Here we deriv…