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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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發(fā)表于 2025-3-21 17:51:29 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱(chēng)Applications of Random Matrices in Physics
影響因子2023édouard Brézin,Vladimir Kazakov,Anton Zabrodin
視頻videohttp://file.papertrans.cn/160/159550/159550.mp4
發(fā)行地址collection of lectures of well known specialists in random matrices and their applications.broad coverage of various physical and mathematical subjects unified by common methods related to random matr
學(xué)科分類(lèi)NATO Science Series II: Mathematics, Physics and Chemistry
圖書(shū)封面Titlebook: Applications of Random Matrices in Physics; édouard Brézin,Vladimir Kazakov,Anton Zabrodin Conference proceedings 2006 Springer Science+Bu
影響因子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.
Pindex Conference proceedings 2006
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發(fā)表于 2025-3-21 20:55:34 | 只看該作者
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.
板凳
發(fā)表于 2025-3-22 02:34:44 | 只看該作者
地板
發(fā)表于 2025-3-22 04:33:46 | 只看該作者
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.
5#
發(fā)表于 2025-3-22 09:13:12 | 只看該作者
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.
6#
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發(fā)表于 2025-3-22 23:11:31 | 只看該作者
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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