Hölder continuity of the integrated density of states for quasi-periodic Jacobi operators

DOI10.4171/JST/165zbMath1367.81056arXiv1501.01028MaRDI QIDQ2360997

Kai Tao, Mircea Voda

Publication date: 29 June 2017

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01028

zbMATH Keywords

integrated density of statesquasi-periodic Jacobi operators

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (5)

Sharp Hölder continuity of the integrated density of states for extended Harper's model with a Liouville frequency ⋮ Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices ⋮ Dynamics and spectral theory of quasi-periodic Schrödinger-type operators ⋮ Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators ⋮ Anderson localization for multi-frequency quasi-periodic Jacobi operators

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