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Item Details
| Title:
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RANDOM MATRICES, FROBENIUS EIGENVALUES, AND MONODROMY
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| By: |
Nicholas M. Katz, Peter Sarnak |
| Format: |
Hardback |
| List price:
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£87.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0821810170 |
| ISBN 13: |
9780821810170 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 November, 1998 |
| Series: |
Colloquium Publications No. 45 |
| Pages: |
416 |
| Description: |
Discusses the relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups. This book presents accounts of many disparate areas of mathematics, from algebraic geometry, moduli spaces, to probability theory on the compact classical groups. |
| Synopsis: |
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. This relation, the Montgomery-Odlyzko law, is shown to hold for wide classes of zeta and $L$-functions over finite fields. The book draws on and gives accessible accounts of many disparate areas of mathematics, from algebraic geometry, moduli spaces, monodromy, equidistribution, and the Weil conjectures, to probability theory on the compact classical groups in the limit as their dimension goes to infinity and related techniques from orthogonal polynomials and Fredholm determinants. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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