Universal Eigenvalue Statistics for Dynamically Defined Matrices
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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2022
- DOI:
- 10.48550/arXiv.2201.00851
- arXiv:
- arXiv:2201.00851
- Bibcode:
- 2022arXiv220100851A
- Keywords:
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- Mathematics - Probability;
- Mathematical Physics;
- Mathematics - Dynamical Systems
- E-Print:
- 31 pages