Typical large unitary matrices show remarkable patterns in their eigenvalue distribution. These same patterns appear in telephone encryption, the zeros of Riemann's zeta function, a variety of physics problems, and in the study of Toeplitz operators. This paper surveys these applications and what is currently known about the patterns.
CITATION STYLE
Diaconis, P. (2003). Patterns in eigenvalues: The 70th Josiah Willard Gibbs lecture. Bulletin of the American Mathematical Society, 40(2), 155–178. https://doi.org/10.1090/S0273-0979-03-00975-3
Mendeley helps you to discover research relevant for your work.