Localization for random CMV matrices

Localization for random CMV matrices

We prove Anderson localization (AL) and dynamical localization in expectation (EDL, also known as strong dynamical localization) for random CMV matrices for arbitrary distribution of i.i.d. Verblunsky coefficients.

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Veröffentlicht in:Journal of approximation theory 2024-03, Vol.298, p.106008, Article 106008
1. Verfasser: Zhu, Xiaowen
Format: Artikel
Sprache:eng
Schlagworte:
Localization
Orthogonal polynomials
Random CMV matrices
Spectral Theory
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Beschreibung
Zusammenfassung:We prove Anderson localization (AL) and dynamical localization in expectation (EDL, also known as strong dynamical localization) for random CMV matrices for arbitrary distribution of i.i.d. Verblunsky coefficients.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2023.106008