Thin spectra for periodic and ergodic word models
Abstract
We establish a new and simple criterion that suffices to generate many spectral gaps for periodic word models. This leads to new examples of ergodic Schrödinger operators with Cantor spectra having zero Hausdorff dimension that simultaneously may have arbitrarily small supremum norm together with arbitrarily long runs on which the potential vanishes.
Fields of Study & Subjects
Bayesian Methods and Mixture Models
semigroups and automata theory
Machine Learning and Algorithms
Publication details
- Journal / source
- Journal of Functional Analysis
- Publisher
- Elsevier BV
- Volume
- 290
- Issue
- 9
- Pages
- 111385–111385
- Publication date
- 5 February 2026
- Language
- EN