Log-gases and random matrices
"Random matrix theory, both as an application and as theory, has evolved rapidly over the past fifteen years. [This book] gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack po...
Enregistré dans:
| 主要作者: | |
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| 格式: | Livre papier |
| 语言: | Anglais |
| 出版: |
Princeton (N. J.) ; Oxford :
Princeton University Press
cop. 2010.
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| 丛编: | London Mathematical Society monographs series
Vol. 34 |
| 主题: | |
| Autres localisations: | Voir dans le Sudoc |
书本目录:
- Contient des exercices
- 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 [beta ]=2
- Chapter 6. Correlation functions at [beta]=1 and 4
- Chapter 7. Scaled limits at [beta]=1, 2 and 4
- Chapter 8. Eigenvalue probabilities - Painlevé systems approach
- Chapter 9. Eigenvalue probabilities - Fredholm determinant approach
- Chapter 10. Lattice paths and growth models
- Chapter 11. The Calogero-Sutherland model
- Chapter 12. Jack polynomials
- Chapter 13. Correlations for general [beta]
- Chapter 14. Fluctuations formulas and universal behavior of correlations
- Chapter 15. The two-dimensional one-component plasma