Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture
- 12 February 2003
- journal article
- Published by American Mathematical Society (AMS) in Bulletin of the American Mathematical Society
- Vol. 40 (2), 155-178
- https://doi.org/10.1090/s0273-0979-03-00975-3
Abstract
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.Keywords
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