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Viser: The Oxford Handbook of Random Matrix Theory
The Oxford Handbook of Random Matrix Theory
Gernot Akemann, Jinho Baik og Philippe Di Francesco
(2015)
Detaljer om varen
- Paperback: 952 sider
- Udgiver: Oxford University Press (September 2015)
- Forfattere: Gernot Akemann, Jinho Baik og Philippe Di Francesco
- ISBN: 9780198744191
In part one, all modern and classical techniques of solving random matrix models are explored, including orthogonal polynomials, exact replicas or supersymmetry. Further, all main extensions of the classical Gaussian ensembles of Wigner and Dyson are introduced including sparse, heavy tailed, non-Hermitian or multi-matrix models. In the second and larger part, all major applications are covered, in disciplines ranging from physics and mathematics to biology and engineering. This includes standard fields such as number theory, quantum chaos or quantum chromodynamics, as well as recent developments such as partitions, growth models, knot theory, wireless communication or bio-polymer folding.
The handbook is suitable both for introducing novices to this area of research and as a main source of reference for active researchers in mathematics, physics and engineering.