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Skew-Orthogonal Polynomials and Random Matrix Theory
About this Title
Saugata Ghosh, , Gurgaon, India
Publication: CRM Monograph Series
Publication Year:
2009; Volume 28
ISBNs: 978-0-8218-4878-4 (print); 978-1-4704-1771-0 (online)
DOI: https://doi.org/10.1090/crmm/028
MathSciNet review: MR2560290
MSC: Primary 60B20; Secondary 15B52, 26C05, 33C47, 42C05
Table of Contents
Front/Back Matter
Chapters
- Introduction
- Level density and correlation functions
- The $S^{(\beta )}_\mathbb {N}(x,y)$ kernel and Christoffel–Darboux formulas
- Mapping
- Unitary ensembles
- Orthogonal ensembles (even dimension)
- Orthogonal ensembles (odd dimension)
- Symplectic ensembles
- Skew-orthogonal polynomials and differential systems
- Matrix integral representations and zeros of polynomials
- Duality
- Conclusion