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  • 1
    Online Resource
    Online Resource
    Random matrices (2004)
    Amsterdam ; San Diego, CA : Elsevier/Academic Press
    Details
    UID:
    b3kat_BV036962223
    Format: 1 Online-Ressource (xviii, 688 p.) , ill , 24 cm
    Edition: 3rd ed
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0120884097 , 9780120884094
    Series Statement: Pure and applied mathematics v. 142
    Note: Includes bibliographical references (p. 655-679) and indexes
    Additional Edition: Reproduktion von Random matrices 2004
    Language: English
    Keywords: Stochastische Matrix ; Wahrscheinlichkeitsrechnung ; Energieniveau ; Quantenmechanik
    URL: Volltext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    HWR Berlin
    EUV Frankfurt
    TH Brandenburg
    HTW Berlin
    TH Wildau
    BTU Cottbus
    BHT
  • 2
    Book
    Book
    Random matrices / (2004)
    Amsterdam [u.a.] :Elsevier,
    Details
    UID:
    almafu_BV019697335
    Format: XVIII, 688 S. : , graph. Darst.
    Edition: 3. ed.
    ISBN: 0-12-088409-7 , 978-0-12-088409-4
    Series Statement: Pure and applied mathematics 142
    Note: 1. Aufl. u.d.T.: Mehta, Madan L.: Random matrices and the statistical theory of energy levels
    Language: English
    Subjects: Mathematics
    RVK:
    SK 820
    Keywords: Stochastische Matrix ; Wahrscheinlichkeitsrechnung ; Energieniveau ; Quantenmechanik
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013024987&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    URL: Inhaltsverzeichnis
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013024987&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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  • 3
    Online Resource
    Online Resource
    Random matrices / (2004)
    Amsterdam :Elsevier,
    Details
    UID:
    almahu_9947366296702882
    Format: 1 online resource (707 p.)
    Edition: 3rd ed.
    ISBN: 1-280-96818-4 , 9786610968183 , 0-08-047411-X
    Series Statement: Pure and applied mathematics (Academic Press), 142
    Content: 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, tra
    Note: Description based upon print version of record. , Front Cover; Random Matrices; Copyright Page; Contents; Preface to the Third Edition; Preface to the Second Edition; Preface to the First Edition; Chapter 1. Introduction; 1.1. Random Matrices in Nuclear Physics; 1.2. Random Matrices in Other Branches of Knowledge; 1.3. A Summary of Statistical Facts about Nuclear Energy Levels; 1.4. Definition of a Suitable Function for the Study of Level Correlations; 1.5. Wigner Surmise; 1.6. Electromagnetic Properties of Small Metallic Particles; 1.7. Analysis of Experimental Nuclear Levels; 1.8. The Zeros of the Riemann Zeta Function , 1.9. Things Worth Consideration, But Not Treated in This BookChapter 2. Gaussian Ensembles. The Joint Probability Density Function for the Matrix Elements; 2.1. Preliminaries; 2.2. Time-Reversal Invariance; 2.3. Gaussian Orthogonal Ensemble; 2.4. Gaussian Symplectic Ensemble; 2.5. Gaussian Unitary Ensemble; 2.6. Joint Probability Density Function for the Matrix Elements; 2.7. Gaussian Ensemble of Hermitian Matrices With Unequal Real and Imaginary Parts; 2.8. Anti-Symmetric Hermitian Matrices; Summary of Chapter 2 , Chapter 3. Gaussian Ensembles. The Joint Probability Density Function for the Eigenvalues3.1. Orthogonal Ensemble; 3.2. Symplectic Ensemble; 3.3. Unitary Ensemble; 3.4. Ensemble of Anti-Symmetric Hermitian Matrices; 3.5. Gaussian Ensemble of Hermitian Matrices With Unequal Real and Imaginary Parts; 3.6. Random Matrices and Information Theory; Summary of Chapter 3; Chapter 4. Gaussian Ensembles Level Density; 4.1. The Partition Function; 4.2. The Asymptotic Formula for the Level Density. Gaussian Ensembles; 4.3. The Asymptotic Formula for the Level Density. Other Ensembles , 5.11. Integral Representations5.12. Properties of the Zeros; 5.13. Orthogonal Polynomials and the Riemann-Hilbert Problem; 5.14. A Remark (Balian); Summary of Chapter 5; Chapter 6. Gaussian Unitary Ensemble; 6.1. Generalities; 6.2. The n-Point Correlation Function; 6.3. Level Spacings; 6.4. Several Consecutive Spacings; 6.5. Some Remarks; Summary of Chapter 6; Chapter 7. Gaussian Orthogonal Ensemble; 7.1. Generalities; 7.2. Correlation and Cluster Functions; 7.3. Level Spacings. Integration Over Alternate Variables; 7.4. Several Consecutive Spacings: n = 2r , 7.5. Several Consecutive Spacings: n = 2r - 1 , English
    Additional Edition: ISBN 1-4832-9989-9
    Additional Edition: ISBN 0-12-088409-7
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
    FU Berlin
    Charité
  • 4
    Online Resource
    Online Resource
    Random matrices (2004)
    Amsterdam : Elsevier
    Details
    UID:
    gbv_1684904838
    Format: Online-Ressource
    Edition: 3. ed.
    Edition: Elsevier e-book collection on ScienceDirect
    ISBN: 0120884097 , 9780120884094
    Series Statement: Pure and applied mathematics v. 142
    Content: "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 Painlev? 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."
    Note: Includes bibliographical references (p. 655-679) and indexes
    Additional Edition: ISBN 9780120884094
    Additional Edition: ISBN 0120884097
    Additional Edition: ISBN 9780125660501
    Additional Edition: ISBN 0125660502
    Additional Edition: ISBN 0120884097
    Additional Edition: ISBN 0120884097
    Additional Edition: ISBN 9780120884094
    Additional Edition: Erscheint auch als Druck-Ausgabe Mehta, Madan Lal, 1932 - 2006 Random matrices Amsterdam : Elsevier, 2004 ISBN 0120884097
    Additional Edition: ISBN 9780120884094
    Language: English
    Subjects: Mathematics
    RVK:
    SK 820
    Keywords: Quantenmechanik ; Stochastische Matrix ; Energieniveau ; Electronic books ; Electronic books
    URL: Volltext
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: lizenzpflichtig
    URL: lizenzpflichtig
    URL: Inhaltstext
    URL: ScienceDirect
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Stabi Berlin
    UB Potsdam
  • 5
    Book
    Book
    Random matrices /; 142 (2004)
    Amsterdam [u.a.] :Elsevier,
    Details
    UID:
    kobvindex_ZIB000013700
    Format: XVIII, 688 S. : , graph. Darst.
    Edition: 3. ed.
    ISBN: 0-12-088409-7
    Series Statement: Pure and applied mathematics 142
    Note: 1. Aufl. u.d.T.: Mehta, Madan L.: Random matrices and the statistical theory of energy levels
    Language: English
    URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=013024987&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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    Zuse-Institut Berlin get availability status
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