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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.DS2008★ 54 cited

Hyperbolicity of the Trace Map for the Weakly Coupled Fibonacci Hamiltonian

David Damanik, Anton Gorodetski

We consider the trace map associated with the Fibonacci Hamiltonian as a diffeomorphism on the invariant surface associated with a given coupling constant and prove that the non-wa…