Chapters in this book

1. Frontmatter i
2. Preface v
3. Contents xi
4. Chapter One. Gaussian Matrix Ensembles 1
5. Chapter Two. Circular Ensembles 53
6. Chapter Three. Laguerre And Jacobi Ensembles 85
7. Chapter Four. The Selberg Integral 133
8. Chapter Five. Correlation functions at β = 2 186
9. Chapter Six. Correlation Functions At β= 1 And 4 236
10. Chapter Seven. Scaled limits at β = 1, 2 and 4 283
11. Chapter Eight. Eigenvalue probabilities – Painlevé systems approach 328
12. Chapter Nine. Eigenvalue probabilities— Fredholm determinant approach 380
13. Chapter Ten. Lattice paths and growth models 440
14. Chapter Eleven. The Calogero–Sutherland model 505
15. Chapter Twelve. Jack polynomials 543
16. Chapter Thirteen. Correlations for general β 592
17. Chapter Fourteen. Fluctuation formulas and universal behavior of correlations 658
18. Chapter Fifteen. The two-dimensional one-component plasma 701
19. Bibliography 765
20. Index 785