Universal Eigenvalue Statistics for Dynamically Defined Matrices
Probability
2022-01-05 v1 Mathematical Physics
Dynamical Systems
math.MP
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.
Keywords
Cite
@article{arxiv.2201.00851,
title = {Universal Eigenvalue Statistics for Dynamically Defined Matrices},
author = {Arka Adhikari and Marius Lemm},
journal= {arXiv preprint arXiv:2201.00851},
year = {2022}
}
Comments
31 pages; 1 figure