The Fibonacci Hamiltonian

• Published in: Inventiones mathematicae Vol. 206; no. 3; pp. 629 - 692
• Main Authors: Damanik, David, Gorodetski, Anton, Yessen, William
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2016
• Subjects: Asymptotic properties; Constants; Coupling; Density of states; Entropy; Exponents; Mathematical models; Mathematics; Mathematics and Statistics; Spectra

We consider the Fibonacci Hamiltonian, the central model in the study of electronic properties of one-dimensional quasicrystals, and establish relations between its spectrum and spectral characteristics (namely, the optimal Hölder exponent of the integrated density of states, the dimension of the de...