Work

Thin Spectra for Periodic and Ergodic Word Models

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2503.18691

Authors: Fillman, Jake, Gradner, Michala N., Hendricks, Hannah J.

Institutions: Texas A&M University, Texas State University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6910696897

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