E-Book, Englisch, Band 221, 510 Seiten
Reihe: NATO Science Series II: Mathematics, Physics and Chemistry
Brezin / Kazakov / Serban Applications of Random Matrices in Physics
1. Auflage 2006
ISBN: 978-1-4020-4531-8
Verlag: Springer Netherlands
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 221, 510 Seiten
Reihe: NATO Science Series II: Mathematics, Physics and Chemistry
ISBN: 978-1-4020-4531-8
Verlag: Springer Netherlands
Format: PDF
Kopierschutz: 1 - PDF Watermark
Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics. It can be useful to the specialists in various subjects using random matrices, from PhD students to confirmed scientists.
Autoren/Hrsg.
Weitere Infos & Material
1;Contents;6
2;Preface;10
3;RANDOM MATRICES AND NUMBER THEORY;12
4;2D QUANTUM GRAVITY, MATRIX MODELS AND GRAPH COMBINATORICS;44
5;EIGENVALUE DYNAMICS, FOLLYTONS AND LARGEN LIMITS OF MATRICES;100
6;RANDOM MATRICES AND SUPERSYMMETRY IN DISORDERED SYSTEMS;106
7;HYDRODYNAMICS OF CORRELATED SYSTEMS;149
8;QCD, CHIRAL RANDOM MATRIX THEORYAND INTEGRABILITY;172
9;EUCLIDEAN RANDOMMATRICES: SOLVEDAND OPEN PROBLEMS;227
10;MATRIX MODELS AND GROWTH PROCESSES: FROM VISCOUS FLOWS TO THE QUANTUM HALL EFFECT;269
11;MATRIX MODELS AND TOPOLOGICAL STRINGS;327
12;MATRIX MODELS OF MODULI SPACE;387
13;MATRIX MODELS AND 2D STRING THEORY;410
14;MATRIX MODELS AS CONFORMALFIELD THEORIES;465
15;LARGE N ASYMPTOTICS OF ORTHOGONAL POLYNOMIALS FROM INTEGRABILITY TO ALGEBRAIC GEOMETRY;494
