Log-Gases and Random Matrices (LMS-34) /

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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Detalles Bibliográficos
Autor principal: Forrester, Peter (Peter John)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2010.
Colección:Book collections on Project MUSE.
Temas:
Random matrices.
Mathematics.
Jacobi polynomials.
Integral theorems.
MATHEMATICS > Probability & Statistics > General.
MATHEMATICS > Matrices.
mathematics.
applied mathematics.
Mathematiques.
Theoremes integraux.
Polynômes de Jacobi.
Matrices aleatoires.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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