| Description |
1 online resource (xiv, 791 pages) : illustrations |
| Series |
London Mathematical Society monographs series ; v. 34 |
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London Mathematical Society monographs ; new ser., no. 34.
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| 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 |
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Chapter 13. Correlations for general ßChapter 14. Fluctuation formulas and universal behavior of correlations; Chapter 15. The two-dimensional one-component plasma; Bibliography; Index |
| Summary |
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 ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory |
| Bibliography |
Includes bibliographical references (pages 765-784) and index |
| Notes |
Print version record |
| Subject |
Random matrices.
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Jacobi polynomials.
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Integral theorems.
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Mathematics.
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applied mathematics.
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mathematics.
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MATHEMATICS -- Matrices.
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MATHEMATICS -- Probability & Statistics -- General.
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Integral theorems
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Jacobi polynomials
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Mathematics
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Random matrices
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| Form |
Electronic book
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| LC no. |
2009053314 |
| ISBN |
9781400835416 |
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1400835410 |
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