Dominated splittings and the spectrum of quasi-periodic Jacobi operators

DOI10.1088/0951-7715/27/12/3059zbMath1302.47048arXiv1404.6307OpenAlexW3104111938MaRDI QIDQ2936151

C. A. Marx

Publication date: 5 January 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6307

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Partially hyperbolic systems and dominated splittings (37D30) Trigonometric polynomials, inequalities, extremal problems (42A05) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (12)

On the correspondence between domination and the spectrum of Jacobi operators ⋮ Cantor spectrum for CMV and Jacobi matrices with coefficients arising from generalized skew-shifts ⋮ Spectral theory of extended Harper's model and a question by Erdős and Szekeres ⋮ Johnson-Schwartzman gap labelling for ergodic Jacobi matrices ⋮ Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices ⋮ Dynamics and spectral theory of quasi-periodic Schrödinger-type operators ⋮ Parametric Furstenberg theorem on random products of \(\mathrm{SL}(2, \mathbb{R})\) matrices ⋮ Shnol’s theorem and the spectrum of long range operators ⋮ Spectral dimension for \(\beta\)-almost periodic singular Jacobi operators and the extended Harper's model ⋮ Spectral characteristics of the unitary critical almost-Mathieu operator ⋮ Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators ⋮ Cantor spectrum of graphene in magnetic fields

This page was built for publication: Dominated splittings and the spectrum of quasi-periodic Jacobi operators