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    Article

    The Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian

    We study the spectrum of the Fibonacci Hamiltonian and prove upper and lower bounds for its fractal dimension in the large coupling regime. These bounds show that as

    D. Damanik, M. Embree, A. Gorodetski… in Communications in Mathematical Physics (2008)

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    Article

    Variational Estimates for Discrete Schrödinger Operators with Potentials of Indefinite Sign

    Let H be a one-dimensional discrete Schrödinger operator. We prove that if Σ ess (H)⊂[−2,2], then H−H 0 is compact and Σ ess

    D. Damanik, D. Hundertmark, R. Killip, B. Simon in Communications in Mathematical Physics (2003)