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Random Matrices, Frobenius Eigenvalues, and Monodromy

About this Title

Nicholas M. Katz, Princeton University, Princeton, NJ and Peter Sarnak, Princeton University, Princeton, NJ

Publication: Colloquium Publications
Publication Year: 1999; Volume 45
ISBNs: 978-0-8218-1017-0 (print); 978-1-4704-3191-4 (online)
DOI: https://doi.org/10.1090/coll/045
MathSciNet review: MR1659828
MSC: Primary 11G25; Secondary 11M06, 11Y35, 14D05, 14G10, 60F99, 82B44

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. Introduction
• Chapter 2. Statements of the main results
• Chapter 3. Reformulation of the main results
• Chapter 4. Reduction steps in proving the main theorems
• Chapter 5. Test functions
• Chapter 6. Haar measure
• Chapter 7. Tail estimates
• Chapter 8. Large N limits and Fredholm determinants
• Chapter 9. Several variables
• Chapter 10. Equidistribution
• Chapter 11. Monodromy of families of curves
• Chapter 12. Monodromy of some other families
• Chapter 13. GUE discrepancies in various families
• Chapter 14. Distribution of low-lying Frobenius eigenvalues in various families
• Appendix: Densities
• Appendix: Graphs