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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.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…