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20072026
most citedThe Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian

82 citations · 362 across the 21 of their papers we have counts for

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math-ph2013★ 1 cited

Almost Ballistic Transport for the Weakly Coupled Fibonacci Hamiltonian

David Damanik, Anton Gorodetski

We prove estimates for the transport exponents associated with the weakly coupled Fibonacci Hamiltonian. It follows in particular that the upper transport exponent …

math.DS2013★ 34 cited

Absolutely Continuous Convolutions of Singular Measures and an Application to the Square Fibonacci Hamiltonian

David Damanik, Anton Gorodetski, Boris Solomyak

We prove for the square Fibonacci Hamiltonian that the density of states measure is absolutely continuous for almost all pairs of small coupling constants. This is obtained from a…