Log-gases and random matrices /
Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembl...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton :
Princeton University Press,
©2010.
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| Series: | London Mathematical Society monographs ;
new ser., no. 34. |
| Subjects: | |
| Online Access: | Connect to this title online (unlimited users allowed) |
Table of Contents:
- Cover; Title; Copyright; Preface; Contents; Chapter 1. Gaussian matrix ensembles; Chapter 2. Circular ensembles; Chapter 3. Laguerre and Jacobi ensembles; Chapter 4. The Selberg integral; Chapter 5. Correlation functions at ß = 2; Chapter 6. Correlation functions at ß = 1 and 4; Chapter 7. Scaled limits at ß = 1, 2 and 4; Chapter 8. Eigenvalue probabilities Painlev systems approach; Chapter 9. Eigenvalue probabilities Fredholm determinant approach; Chapter 10. Lattice paths and growth models; Chapter 11. The CalogeroSutherland model; Chapter 12. Jack polynomials.
- Chapter 13. Correlations for general ßChapter 14. Fluctuation formulas and universal behavior of correlations; Chapter 15. The two-dimensional one-component plasma; Bibliography; Index.