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

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https://doi.org/10.1007/978-3-540-79022-8veral simple systems – free fermions with an arbitrary dispersion and Calogero-Sutherland model. For these systems we con.rm the obtained results by comparison with exact results known in Random Matrix theory. We argue that the nonlinear hydrodynamic approach might be useful even in cases where the linearized hydrodynamics fails.

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https://doi.org/10.1007/978-3-540-79022-8ents of the potential theory. As far as the physical significance of these models is concerned, we discuss, in some detail, the recently revealed applications to diffusion-controlled growth processes (e.g., to the Saffman-Taylor problem) and to the semiclassical behaviour of electronic blobs in the quantum Hall regime.

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HYDRODYNAMICS OF CORRELATED SYSTEMS,veral simple systems – free fermions with an arbitrary dispersion and Calogero-Sutherland model. For these systems we con.rm the obtained results by comparison with exact results known in Random Matrix theory. We argue that the nonlinear hydrodynamic approach might be useful even in cases where the linearized hydrodynamics fails.

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Raumheizung und Klimatisierung,lae are derived. Both level-level correlations and fluctuations of amplitudes of wave functions are discussed. It is shown how one can both obtain known formulae of the RMT and go beyond. In the last part some recent progress in the further development of the method and possible perspectives are discussed.

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