Schrödinger operators defined by interval-exchange transformations

DOI10.3934/jmd.2009.3.253zbMath1184.81056arXiv0809.3230OpenAlexW2049489615MaRDI QIDQ2268268

David Damanik, Helge Krüger, Jon Chaika

Publication date: 10 March 2010

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3230

zbMATH Keywords

continuous spectrumsingular spectrumergodic Schrödinger operatorsinterval-exchange transformations

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (5)

There exists a topologically mixing interval exchange transformation ⋮ Mild mixing of certain interval-exchange transformations ⋮ Probabilistic averages of Jacobi operators ⋮ Topological mixing for some residual sets of interval exchange transformations ⋮ Multiscale analysis for ergodic Schrödinger operators and positivity of Lyapunov exponents

This page was built for publication: Schrödinger operators defined by interval-exchange transformations