Random matrices:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Academic Press
2004
|
| Ausgabe: | 3rd ed |
| Schriftenreihe: | Pure and applied mathematics (Academic Press)
142 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Title from e-book title screen (viewed Nov. 15, 2007) Includes bibliographical references (p. 655-679) and indexes This book gives a coherent and detailed description of analytical methods devised to study random matrices. These methods are critical to the understanding of various fields in in mathematics and mathematical physics, such as nuclear excitations, ultrasonic resonances of structural materials, chaotic systems, the zeros of the Riemann and other zeta functions. More generally they apply to the characteristic energies of any sufficiently complicated system and which have found, since the publication of the second edition, many new applications in active research areas such as quantum gravity, traffic and communications networks or stock movement in the financial markets. This revised and enlarged third edition reflects the latest developements in the field and convey a greater experience with results previously formulated. For example, the theory of skew-orthogoanl and bi-orthogonal polynomials, parallel to that of the widely known and used orthogonal polynomials, is explained here for the first time. Presentation of many new results in one place for the first time. First time coverage of skew-orthogonal and bi-orthogonal polynomials and their use in the evaluation of some multiple integrals. Fredholm determinants and Painlev̌ equations. The three Gaussian ensembles (unitary, orthogonal, and symplectic); their n-point correlations, spacing probabilities. Fredholm determinants and inverse scattering theory. Probability densities of random determinants |
| Beschreibung: | 1 Online-Ressource (xviii, 688 p.) |
| ISBN: | 008047411X 9780080474113 9780120884094 0120884097 9780125660501 0125660502 |
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Datensatz im Suchindex
| _version_ | 1804152914863718400 |
|---|---|
| any_adam_object | |
| author | Mehta, M. L. |
| author_facet | Mehta, M. L. |
| author_role | aut |
| author_sort | Mehta, M. L. |
| author_variant | m l m ml mlm |
| building | Verbundindex |
| bvnumber | BV042317895 |
| classification_rvk | SK 820 |
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| dewey-full | 512.9434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.9434 |
| dewey-search | 512.9434 |
| dewey-sort | 3512.9434 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3rd ed |
| format | Electronic eBook |
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| id | DE-604.BV042317895 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:17Z |
| institution | BVB |
| isbn | 008047411X 9780080474113 9780120884094 0120884097 9780125660501 0125660502 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754886 |
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| physical | 1 Online-Ressource (xviii, 688 p.) |
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| spelling | Mehta, M. L. Verfasser aut Random matrices Madan Lal Mehta 3rd ed Amsterdam Academic Press 2004 1 Online-Ressource (xviii, 688 p.) txt rdacontent c rdamedia cr rdacarrier Pure and applied mathematics (Academic Press) 142 Title from e-book title screen (viewed Nov. 15, 2007) Includes bibliographical references (p. 655-679) and indexes This book gives a coherent and detailed description of analytical methods devised to study random matrices. These methods are critical to the understanding of various fields in in mathematics and mathematical physics, such as nuclear excitations, ultrasonic resonances of structural materials, chaotic systems, the zeros of the Riemann and other zeta functions. More generally they apply to the characteristic energies of any sufficiently complicated system and which have found, since the publication of the second edition, many new applications in active research areas such as quantum gravity, traffic and communications networks or stock movement in the financial markets. This revised and enlarged third edition reflects the latest developements in the field and convey a greater experience with results previously formulated. For example, the theory of skew-orthogoanl and bi-orthogonal polynomials, parallel to that of the widely known and used orthogonal polynomials, is explained here for the first time. Presentation of many new results in one place for the first time. First time coverage of skew-orthogonal and bi-orthogonal polynomials and their use in the evaluation of some multiple integrals. Fredholm determinants and Painlev̌ equations. The three Gaussian ensembles (unitary, orthogonal, and symplectic); their n-point correlations, spacing probabilities. Fredholm determinants and inverse scattering theory. Probability densities of random determinants Matrices aléatoires MATHEMATICS / Matrices bisacsh Mecânica estatística larpcal Random matrices fast Random matrices Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Energieniveau (DE-588)4152225-4 gnd rswk-swf Stochastische Matrix (DE-588)4057624-3 gnd rswk-swf Stochastische Matrix (DE-588)4057624-3 s 1\p DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 2\p DE-604 Energieniveau (DE-588)4152225-4 s 3\p DE-604 Quantenmechanik (DE-588)4047989-4 s 4\p DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 0-12-088409-7 http://www.sciencedirect.com/science/book/9780120884094 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mehta, M. L. Random matrices Matrices aléatoires MATHEMATICS / Matrices bisacsh Mecânica estatística larpcal Random matrices fast Random matrices Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Energieniveau (DE-588)4152225-4 gnd Stochastische Matrix (DE-588)4057624-3 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4047989-4 (DE-588)4152225-4 (DE-588)4057624-3 |
| title | Random matrices |
| title_auth | Random matrices |
| title_exact_search | Random matrices |
| title_full | Random matrices Madan Lal Mehta |
| title_fullStr | Random matrices Madan Lal Mehta |
| title_full_unstemmed | Random matrices Madan Lal Mehta |
| title_short | Random matrices |
| title_sort | random matrices |
| topic | Matrices aléatoires MATHEMATICS / Matrices bisacsh Mecânica estatística larpcal Random matrices fast Random matrices Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Energieniveau (DE-588)4152225-4 gnd Stochastische Matrix (DE-588)4057624-3 gnd |
| topic_facet | Matrices aléatoires MATHEMATICS / Matrices Mecânica estatística Random matrices Wahrscheinlichkeitsrechnung Quantenmechanik Energieniveau Stochastische Matrix |
| url | http://www.sciencedirect.com/science/book/9780120884094 |
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