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The Oxford Handbook of Random Matrix Theory
Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco
952 pages
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4 colour halftones, 7 black and white halftones, 92 black and white line drawings
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246x171mm
978-0-19-957400-1
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Hardback
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28 July 2011
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- Foreword by Freeman Dyson
- All main theoretical aspects and current applications of random matrices are covered
- Complementing views of leaders in the fields of mathematics and physics
- Applications in all branches of physics are covered, as well as in mathematics, biology and engineering
- Includes most important and up to date references
- Provides a guide for newcomers to the field
- Introduces those already familiar with random matrix theory with new areas of research
With a foreword by Freeman Dyson, the handbook 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 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.Readership: Suitable for mathematicians, physicists, statisticians and engineers. This handbook serves as a reference book for those already familiar with the field, as a guide to the
field for newcomers and as an introduction to the wider applications of random matrix theory.
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Edited by Gernot Akemann, Professor of Mathematical Physics, Department of Physics, Bielefeld University, Germany, Jinho Baik, Associate Professor, Department of Mathematics, University of Michigan, and Philippe Di Francesco, Research Engineer, Institut de Physique Théorique du Commissariat à l'Énergie Atomique, Saclay Gernot Akemann gained his PhD in theoretical physics at Leibniz Universität Hannover in 1996. He was an EU Marie-Curie Fellow from 1996 until 1998. He has worked at MPIK Heidelberg and later at CEA SPhT, where he held a Heisenberg fellowship. He is currently Professor for Mathematical Physics at the Faculty of Physics, Bielefeld University, Germany.
Jinho Baik gained his PhD in mathematics at New York University in 1999. He has been the recipient of the AMS Centennial Fellowship, the Sloan Research Fellowship and he won the CMFT2005 Young Researcher Award. He is currently an associate professor in the Department of Mathematics, University of Michigan.
Philippe Di Francesco gained his PhD in theoretical physics in 1989 at the Université Pierre et Marie Curie (Paris 6). He completed his habilitation in mathematics in 2004 at the Université Paris Diderot (Paris 7). He was a postdoctoral researcher in the Department of Mathematics, Princeton and a professor with the Department of Mathematics, University of North Carolina. He has been a research member of IPHT, CEA Saclay since 1989.
Contributors:
Gernot Akemann (Bielefeld University), Jinho Baik (University of Michigan) & Philippe Di Francesco (Institut de Physique Théorique du Commissariat à l'Énergie Atomique)
Oriol Bohigas (Université Paris-Sud) & Hans Weidenmüller (Max-Planck-Institut für Kernphysik)
Jean-Bernard Zirnbauer (Cologne University)
Greg W. Anderson (University of Minnesota)
Mark Adler (Brandeis University)
Arno Kuijlaars (Katholieke Universiteit Leuven)
Thomas Guhr (Universität Duisburg-Essen)
Eugene Kanzieper (Holon Institute of Technology)
Alexander Its (Indiana University)
Pierre van
Moerbeke (Université Catholique de Louvain)
Alexei Borodin (California Institute of Technology)
Vladimir Kravtsov (The Abdus Salam International Centre for Theoretical Physics)
Zdzislaw Burda (Jagiellonian University) & Jerzy Jurkiewicz (Jagiellonian University)
Giovanni Cicuta (Università degli studi di Parma) & Luca Molinari (Università di Milano)
Marco Bertola (Concordia University)
Nicolas Orantin (CERN)
Alexei Morozov (Institute of Theoretical and Experimental Physics, Moscow)
Boris Khoruzhenko (Queen Mary University of London) & Sommers (Universität Duisburg-Essen)
Edouard Brézin (Laboratoire de Physique Théorique de l'Ecole Normale Supérieure) & Hikami (University of Tokyo)
Peter Forrester (University of Melbourne)
Gérard Ben Arous (New York University) & Guionnet (École Normale Supérieure)
Roland Speicher (Queen's University, Canada)
Thomas Spencer (Institute for Advanced Studies, Princeton)
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Freeman Dyson: Forward
I Introduction
1: Gernot Akenmann, Jinho Baik & Philippe Di Francesco: Guide to the Handbook
2: Oriol Bohigas & Hans Weidenmüller: 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: Painlevé 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 Matrix Models
18: Boris Khoruzhenko & Hans-Jürgen Sommers: Non-Hermitian Ensembles
19: Edouard Brézin & Sinobu Hikami: Characteristic Polynomials
20: Peter Forrester: Beta Ensembles
21: Gérard Ben Arous & Guionnet: Wigner Matrices
22: Roland Speicher: Free Probability Theory
23: Thomas Spencer: Random Banded and Sparse Matrices
III Applications of Random Matrix Theory
24: Jon Keating & Nina Snaith: Number Theory
25: Grigori Olshanski: Random Permutations
26: Jeremie Bouttier: Enumeration of Maps
27: Poul Zinn-Justin & Jean-Bernard Zuber: Knot Theory
28: Noureddine El Karoui: Multivariate Statistics
29: Leonid Chekhov: Algrebraic Geometry
30: Ian Kostov: Two-Dimensional Quantum Gravity
31: Marcos Mariño: String Theory
32: Jac Verbaarschot: Quantum Chromodynamics
33: Sebastian Müller & Martin Sieber: Quantum Chaos and Quantum Graphs
34: Yan Fyodorov & Dmitry Savin: Resonance Scattering in Chaotic Systems
35: Carlo W. J. Beenakker: Condensed Matter Physics
36: Carlo W. J. Beenakker: Optics
37: Satya N. Majumdar: Extreme Eigenvalues of Wishart Matrices and Entangled Bipartite System
38: Patrik L. Ferrari & Herbert Spohn: Random Growth Models
39: Anton Zabrodin: Laplacian Growth
40: Jean-Phillipe Bouchard & Marc Potters: Financial Applications
41: Antonia Tulino & Sergio Verdú: Information Theory
42: Graziano Vernizzi & Henri Orland: Ribonucleic Acid Folding
43: Geoff Rodgers & Taro Nagao: Complex Networks
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The specification in this catalogue, including without limitation price, format, extent, number of illustrations, and month of publication, was as accurate as possible at the time the catalogue was compiled. Occasionally, due to the nature of some contractual restrictions, we are unable to ship a specific product to a particular territory. Jacket images are provisional and liable to change before publication.
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