Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture
By Persi Diaconis. 2003
55 citations recorded by the source corpus.
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.
Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/1f52bfb9bd13c3ac20a90ab036dedc4ad2111c07
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In Discrete Mathematics and Combinatorics
- Roland Speicher
- Manjunath Krishnapur
- B'alint Vir'ag
- Piotr Śniady
- Yuval Peres
- James A. Mingo
- John Hough
- W. Koenig
In Mathematical Physics
- Roland Speicher
- Manjunath Krishnapur
- Piotr Śniady
- B'alint Vir'ag
- James A. Mingo
- John Hough
- Yuval Peres
- W. Koenig
In Statistics and Probability
- Roland Speicher
- Manjunath Krishnapur
- B'alint Vir'ag
- Piotr Śniady
- James A. Mingo
- Yuval Peres
- John Hough
- W. Koenig
Citations in the corpus
- Second order freeness and fluctuations of random matrices: II. Unitary random matrices (2004, background): “r1,...,r2l E D (1) r1,rγ(π(1)) � � � D (2l) r2l,rγ(π(2l))”
- Zeros of Gaussian Analytic Functions and Determinantal Point Processes (2009, background): “There is a long history going back to Maxwell (see (17) and references therein).”
- Orthogonal polynomial ensembles in probability theory (2004, background): “Further surveying and appetizing texts on random matrix theory are [TW93b] and [ Di03 ].”