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

Abstract

We prove Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian for any positive coupling, and obtain the asymptotics of the Hölder exponents for large and small couplings.

18 pages

References in corpus (4)

• The Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian
• Spectral and Quantum Dynamical Properties of the Weakly Coupled Fibonacci Hamiltonian
• Bers and Hénon, Painlevé and Schroedinger
• Hyperbolicity of the Trace Map for the Weakly Coupled Fibonacci Hamiltonian

Cited by in corpus (5)

• Schrödinger Operators with Dynamically Defined Potentials: A Survey
• The Fibonacci Hamiltonian
• Continuum Schrödinger Operators Associated With Aperiodic Subshifts
• The spectral properties of the strongly coupled Sturm Hamiltonian of eventually constant type
• The spectral characteristics of the Sturm Hamiltonian with eventually periodic type