Random Matrices, Frobenius Eigenvalues, and Monodromy |
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Author:
| Katz, Nicholas M. Sarnak, Peter |
Series title: | Colloquium Publications |
ISBN: | 978-1-4704-7507-9 |
Publication Date: | Nov 1999 |
Publisher: | American Mathematical Society
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Book Format: | Paperback |
List Price: | AUD $168.30 |
Book Description:
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The main topic of this book is the deep relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups. The authors draw upon many disparate areas of mathematics from algebraic geometry, moduli spaces, mondromy, equidistribution, and the Weil conjectures to probability theory and the compact classical groups.
The main topic of this book is the deep relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups. The authors draw upon many disparate areas of mathematics from algebraic geometry, moduli spaces, mondromy, equidistribution, and the Weil conjectures to probability theory and the compact classical groups.