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Acqui 2006 --- Chaos quantique. --- Matrices aleatoires

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Statistical physics --- Random matrices. --- Statistical physics. --- Matrices aléatoires --- Physique statistique --- 536.75 --- Random matrices --- Physics --- Mathematical statistics --- Matrices, Random --- Matrices --- Entropy. Statistical thermodynamics. Irreversible processes --- Statistical methods --- 536.75 Entropy. Statistical thermodynamics. Irreversible processes --- Matrices aléatoires

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Random matrices. --- Wigner distribution. --- Integrals, Stieltjes. --- Matrices aléatoires. --- Wigner, Distribution de. --- Stieltjes, Intégrales de. --- Functions of complex variables. --- Integral equations. --- Analytic functions. --- Vector algebra --- Algebra, Vector --- Algebras, Linear --- Vector analysis

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Boundary value problems. --- Hermitian structures. --- Eigenvalues. --- Random matrices. --- Problèmes aux limites --- Structures hermitiennes --- Valeurs propres --- Matrices aléatoires --- 51 <082.1> --- Mathematics--Series --- Problèmes aux limites --- Matrices aléatoires --- Ordered algebraic structures --- Boundary value problems --- Eigenvalues --- Hermitian structures --- Random matrices --- Matrices, Random --- Matrices --- Structures, Hermitian --- Complex manifolds --- Geometry, Differential --- Kählerian structures --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems

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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.

Random matrices --- Mathematical physics --- Matrices aléatoires --- Physique mathématique --- Congresses. --- Congrès --- Mathematical physics. --- Random matrices. --- Engineering & Applied Sciences --- Physics --- Physical Sciences & Mathematics --- Applied Physics --- Physics - General --- Matrices aléatoires --- Physique mathématique --- Congrès --- EPUB-LIV-FT LIVPHYSI SPRINGER-B --- Matrices, Random --- Physics. --- Probabilities. --- Elementary particles (Physics). --- Quantum field theory. --- Condensed matter. --- Statistical physics. --- Dynamical systems. --- Mathematical Methods in Physics. --- Statistical Physics, Dynamical Systems and Complexity. --- Probability Theory and Stochastic Processes. --- Condensed Matter Physics. --- Elementary Particles, Quantum Field Theory. --- Matrices --- Distribution (Probability theory. --- Quantum theory. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Physical mathematics --- Statistical methods --- Mathematics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Statics --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics