Hölder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian

Hölder Continuity of the Integrated Density of States for the Fibonacci Hamiltonian

We obtain the asymptotics of the optimal global Hölder exponent of the integrated density of states of the Fibonacci Hamiltonian for large and small couplings.

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Veröffentlicht in:Communications in mathematical physics 2013-10, Vol.323 (2), p.497-515
Hauptverfasser: Damanik, David, Gorodetski, Anton
Format: Artikel
Sprache:eng
Schlagworte:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Zusammenfassung:We obtain the asymptotics of the optimal global Hölder exponent of the integrated density of states of the Fibonacci Hamiltonian for large and small couplings.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-013-1753-7