Overview

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

Full Product Details

Author:   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 Théorique du Commissariat à l'Énergie Atomique, Saclay)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 17.10cm , Height: 4.90cm , Length: 24.60cm
Weight:   1.635kg
ISBN:  

9780198744191

ISBN 10:   0198744196
Pages:   960
Publication Date:   17 September 2015
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   To order  
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

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

Reviews

Author Information

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.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions