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Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture

Persi Diaconis

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Source: Crossref

Published: Feb 12, 2003

DOI: 10.1090/s0273-0979-03-00975-3

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Source 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.

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Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture — Mathematical Frontier Network