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Titlebook: Applications of Random Matrices in Physics; Édouard Brézin,Vladimir Kazakov,Anton Zabrodin Conference proceedings 2006 Springer Science+Bu

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Praktische Erstellung des Energieausweises,tion numbers on moduli space, and the Penner model that computes the virtual Euler characteristic of moduli space. Generalisations of the former model describe noncritical strings with . < 1 matter, while the latter can be generalised to describe amplitudes of . = 1 strings at selfdual radius.
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Bauwerkskenndaten und Typologien,al field theory. In the large . limit such CFT describe gaussian field on a Riemann surface. Our basic example is the hermitian matrix model. We give an explicit operator construction of the corresponding collective field theory in terms of a bosonic field on a hyperelliptic Riemann surface, with sp
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1568-2609 s 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.978-1-4020-4530-1978-1-4020-4531-8Series ISSN 1568-2609
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2D QUANTUM GRAVITY,MATRIX MODELS AND GRAPH COMBINATORICS,matrix model is simply a statistical ensemble of matrices with some specific measure,here given as an invariant weight, to be integrated over the relevant matrix ensemble. So solving a matrix model really amounts to computing integrals over matrix ensembles.
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HYDRODYNAMICS OF CORRELATED SYSTEMS,um one-dimensional many body system. Quantum hydrodynamics of a system is represented as a Euclidian path integral over con- .gurations of hydrodynamic variables. In the limit of a large size of the empty space, the probability is dominated by an instanton con.guration, and the problem is reduced to
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QCD, CHIRAL RANDOM MATRIX THEORYAND INTEGRABILITY, and emphasize underlying integrable structures. In the first lecture we give an overview of QCD, its low-energy limit and the microscopic limit of the Dirac spectrum which, as we will see in the second lecture, can be described by chiral Random Matrix Theory. The main topic of the third lecture is
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