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An Introduction to Random Matrices

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Title: An Introduction to Random Matrices
Description: The theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical, probabilistic and combinatorial). This diverse array of tools, while attesting to the vitality of the field, presents several formidable obstacles to the newcomer, and even the expert probabilist. This rigorous introduction to the basic theory is sufficiently self-contained to be accessible to graduate students in mathematics or related sciences, who have mastered probability theory at the graduate level, but have not necessarily been exposed to advanced notions of functional analysis, algebra or geometry. Useful background material is collected in the appendices and exercises are also included throughout to test the reader's understanding. Enumerative techniques, stochastic analysis, large deviations, concentration inequalities, disintegration and Lie algebras all are introduced in the text, which will enable readers to approach the research literature with confidence.
Authors: Greg W. Anderson, Alice Guionnet, Ofer Zeitouni
Resource Type: eBook.
Subjects: Random matrices
Categories: MATHEMATICS / Matrices
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
Text:
  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 329369
RelevancyScore: 1031
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1031.17456054688
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  Data: An Introduction to Random Matrices
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  Data: The theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical, probabilistic and combinatorial). This diverse array of tools, while attesting to the vitality of the field, presents several formidable obstacles to the newcomer, and even the expert probabilist. This rigorous introduction to the basic theory is sufficiently self-contained to be accessible to graduate students in mathematics or related sciences, who have mastered probability theory at the graduate level, but have not necessarily been exposed to advanced notions of functional analysis, algebra or geometry. Useful background material is collected in the appendices and exercises are also included throughout to test the reader's understanding. Enumerative techniques, stochastic analysis, large deviations, concentration inequalities, disintegration and Lie algebras all are introduced in the text, which will enable readers to approach the research literature with confidence.
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      – Code: 512.9434
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        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Random matrices
        Type: general
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      – TitleFull: An Introduction to Random Matrices
        Type: main
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            NameFull: Greg W. Anderson
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            NameFull: Alice Guionnet
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            NameFull: Ofer Zeitouni
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            NameFull: Greg W. Anderson
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            NameFull: Alice Guionnet
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            – D: 01
              M: 01
              Type: published
              Y: 2010
            – D: 04
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              Value: 00118
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            – TitleFull: An Introduction to Random Matrices
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