Abstract
We consider dynamically defined Hermitian matrices generated from orbits of the doubling map. We prove that their spectra fall into the GUE universality class from random matrix theory.
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Acknowledgments
The authors thank an anonymous referee for helpful remarks. A.A. would like to thank NSF award number 2102842 and the Harvard GSAS Merit/Graduate Society Term-Time Research Fellowship for support during part of this project.
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Adhikari, A., Lemm, M. Universal eigenvalue statistics for dynamically defined matrices. JAMA (2023). https://doi.org/10.1007/s11854-023-0314-z
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DOI: https://doi.org/10.1007/s11854-023-0314-z