Akemann, G: Oxford Hdb of Random Matrix Theory
(Sprache: Englisch)
With a foreword by Freeman Dyson, the Oxford Handbook of Random Matrix Theory brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of...
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With a foreword by Freeman Dyson, the Oxford Handbook of Random Matrix Theory brings together leading mathematicians and physicists to offer a comprehensive overview of random matrix theory, including a guide to new developments and the diverse range of applications of this approach. In the first part of this book, 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 for example sparse, heavy tailed, non-Hermitian or multi-matrix models. In the second and larger part, all major applications are covered 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
Inhaltsverzeichnis zu „Akemann, G: Oxford Hdb of Random Matrix Theory “
Freeman Dyson: Forward; I Introduction; 1 Gernot Akenmann, Jinho Baik & Philippe Di Francesco: Guide to the Handbook; 2 Oriol Bohigas & Hans Weidenmuller: History; II Properties of Random Matrix Theory; 3 Martin Zirnbauer: Symmetry Classes; 4 Greg W. Anderson: Spectral Statisitics of Unitary Emsembles; 5 Mark Adler: Spectral Statistics of Orthogonal and Symplectic Ensembles; 6 Arno Kuijlaars: Universality; 7 Thomas Guhr: Supersymmetry; 8 Eugene Kanzieper: Replica Approach; 9 Alexander Its: Painleve Transcendents; 10 Pierre van Moerbeke: Random Matrices and Integrable Systems; 11 Alexei Borodin: Determinantal Point Processes; 12 Vladimir Kravtsov: Random Matrix Representations of Critical Statistics; 13 Zdzislaw Burda & Jerzy Jurkiewicz: Heavy-Tailed Random Matrices; 14 Giovanni Cicuta & Luca Molinari: Phase Transitions; 15 Marco Bertola: Two-Matrix Models and Biorthogonal Polynomials; 16 Nicolas Orantin: Loop Equation Method; 17 Alexei Morozov: Unitary Integrals and Related Matr
Autoren-Porträt von Gernot Akemann, Jinho Baik, Philippe Di Francesco
Gernot Akemann, Professor of Mathematical Physics, Department of Physics, Bielefeld University, Germany;Jinho Baik, Associate Professor, Department of Mathematics, University of Michigan;Philippe Di Francesco, Research Engineer, Institut de Physique Theorique du Commissariat a l'Energie Atomique, Saclay
Bibliographische Angaben
- Autoren: Gernot Akemann , Jinho Baik , Philippe Di Francesco
- 2011, XXXI, 919 Seiten, 4 farbige Abbildungen, Maße: 18,4 x 25,4 cm, Gebunden, Englisch
- Verlag: Oxford University Press
- ISBN-10: 0199574006
- ISBN-13: 9780199574001
Sprache:
Englisch
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