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001 | 15426 | ||
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003 | http://www.sudoc.fr/084759550 | ||
005 | 20250630092525.0 | ||
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_a9780120884094 _brel. |
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_a0-12-088409-7 _brel. |
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100 | _a20050323h20042004k y0frey50 ba | ||
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_aeng _2639-2 |
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_6z01 _anga _2RDAfrCarrier |
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200 | 1 |
_aRandom matrices _fMadan Lal Mehta |
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205 | _a3rd edition | ||
210 |
_aAmsterdam _aBoston _aParis [etc.] _cElsevier _cAcademic Press _dcop. 2004 |
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215 |
_a1 vol. (XVIII-688 p.) _cill. _d24 cm |
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225 | 2 |
_aPure and applied mathematics series _v142 |
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320 | _aBibliogr. p. 655-679. Index | ||
359 | 2 |
_bChapter 1. Introduction _bChapter 2. Gaussian ensembles. The joint probability density function for the matrix elements _bChapter 3. Gaussian ensembles. The joint probability density function for the eigenvalues _bChapter 4. Gaussian ensembles level density _bChapter 5. Orthogonal, skew-orthogonal and bi-orthogonal polynomials _bChapter 6. Gaussian unitary ensemble _bChapter 7. Gaussian orthogonal ensemble _bChapter 8. Gaussian symplectic ensemble _bChapter 9. Gaussian ensembles : brownian motion model _bChapter 10. Circular ensembles _bChapter 11. Circular ensembles (continued) _bChapter 12. Circular ensembles. Thermodynamics _bChapter 13. Gaussian ensemble of anti-symmetric hermitian matrices _bChapter 14. a gaussian ensemble for hermitian matrices with unequal real and imaginary parts _bChapter 15. Matrices with gaussian element desnsities but with non unitary or hermitian conditions imposed _bChapter 16. Statistical analysis of a level-sequence _bChapter 17. Selberg's integral and its consequences _bChapter 18. Asymptotic behaviour of Eβ(0,s) by inverse scattering _bChapter 19. Matrix ensembles and classical orthogonal polynomials _bChapter 20. Level spacing functions Eβ(r,s) : inter-relations and power series expansions _bChapter 21. Fredholm determinants and Painlevé equations _bChapter 22. Moments of the characteristics polynomila in the three ensembles of random matrices _bChapter 23. Hermitian matrices coupled in a chain _bChapter 24. Gaussian ensembles. Edge of the spectrum _bChapter 25. Random permutations, circular unitary ensemble (CUE) and gaussian unitary ensemble (GUE) _bChapter 26. Probability densities of the determinants ; Gaussian ensembles _bChapter 27. Restrited trace ensembles _bAppendices |
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410 |
_0038874148 _tPure and applied mathematics (New York. 1949) _x0079-8169 _v142 |
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606 |
_303148638X _aMatrices aléatoires _2rameau |
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606 |
_3027838374 _aMatrices, Mécanique des _3027551385 _xModèles mathématiques _2rameau |
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606 |
_3027834972 _aPerturbation (théorie quantique) _2rameau |
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606 |
_302731569X _aThéorie quantique _2rameau |
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606 |
_302783347X _aNiveaux d'énergie (théorie quantique) _3027545555 _xMéthodes statistiques _2rameau |
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606 |
_aEnergy levels (Quantum mechanics) _xStatistical methods _2lc |
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606 |
_aRandom matrices _2lc |
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676 |
_a530.12 _v21 _zfre |
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680 |
_aQC174.45 _b.M444 1990 |
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686 |
_a82-02 _c2000 _2msc |
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686 |
_a15-02 _c2000 _2msc |
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686 |
_a15A52 _c2000 _2msc |
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_a60B99 _c2000 _2msc |
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_a60K35 _c2000 _2msc |
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686 |
_a82B41 _c2000 _2msc |
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700 | 1 |
_3031641946 _aMehta _bMadan Lal _f1932-2006 _4070 |