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Random Matrices.
Gives a coherent and detailed description of analytical methods devised to study random matrices.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Burlington :
Elsevier,
2004.
|
| Edición: | 3rd ed. |
| Colección: | Pure and Applied Mathematics, 142.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Contents; Asymptotic Behaviour of Ebeta (0, s) by Inverse Scattering; Preface to the Third Edition; Preface to the Second Edition; Preface to the First Edition; Introduction; Gaussian Ensembles. The Joint Probability Density Function for the Matrix Elements; Gaussian Ensembles. The Joint Probability Density Function for the Eigenvalues; Gaussian Ensembles. Level Density; Orthogonal, Skew-Orthogonal and Bi-Orthogonal Polynomials; Gaussian Unitary Ensemble; Gaussian Orthogonal Ensemble; Gaussian Symplectic Ensemble; Gaussian Ensembles: Brownian Motion Model; Circular Ensembles.
- Circular Ensembles (Continued)Circular Ensembles. Thermodynamics; Gaussian Ensemble of Anti-Symmetric Hermitian Matrices; A Gaussian Ensemble of Hermitian Matrices With Unequal Real and Imaginary Parts; Matrices With Gaussian Element Densities But With No Unitary or Hermitian Conditions Imposed; Statistical Analysis of aLevel-Sequence; Selberg's Integral and Its Consequences; Matrix Ensembles and Classical Orthogonal Polynomials; Lev.