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arxiv: 1206.5561 · v1 · pith:MXNL5YKPnew · submitted 2012-06-25 · 🧮 math.SP · math.DS

H\"older Continuity of the Integrated Density of States for the Fibonacci Hamiltonian

classification 🧮 math.SP math.DS
keywords oldercontinuitydensityfibonaccihamiltonianintegratedstatesasymptotics
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We prove H\"older continuity of the integrated density of states for the Fibonacci Hamiltonian for any positive coupling, and obtain the asymptotics of the H\"older exponents for large and small couplings.

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