Eigenvalue distribution of large random matrices (Record no. 2941)

000 -LEADER
fixed length control field 02410nam a22002297a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241120163118.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191211b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821852859
040 ## - CATALOGING SOURCE
Transcribing agency Tata Book House
Original cataloging agency ICTS-TIFR
050 ## - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA 273.6
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Leonid Pastur
245 ## - TITLE STATEMENT
Title Eigenvalue distribution of large random matrices
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Rhode Island:
Name of publisher, distributor, etc. Springer,
Date of publication, distribution, etc. [c2011]
300 ## - Physical Description
Pages: 632 p
490 ## - SERIES STATEMENT
Series statement Mathematical Surveys and Monographs
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction<br/><br/>Part 1. Classical ensembles<br/>2. Gaussian ensembles: Semicircle law<br/>3. Gaussian ensembles: Central Limit Theorem for linear eigenvalue statistics<br/>4. Gaussian ensembles: Joint eigenvalue distribution and related results<br/>5. Gaussian unitary ensemble<br/>6. Gaussian orthogonal ensemble<br/>7. Wishart and Laguerre ensembles<br/>8. Classical compact groups ensembles: Global regime<br/>9. Classical compact group ensembles: Further results<br/>10. Law of addition of random matrices<br/><br/>Part 2. Matrix models<br/>11. Matrix models: Global regime<br/>12. Bulk universality for Hermitian matrix models<br/>13. Universality for special points of Hermitian matrix models<br/>14. Jacobi matrices and limiting laws for linear eigenvalue statistics<br/>15. Universality for real symmetric matrix models<br/>16. Unitary matrix models<br/><br/>Part 3. Ensembles with independent and weakly dependent entries<br/>17. Matrices with Gaussian correlated entries<br/>18. Wigner ensembles<br/>19. Sample covariance and related matrices<br/>
520 ## - SUMMARY, ETC.
Summary, etc. The text includes many of the authors' results and methods on several main aspects of the theory, thus allowing them to present a unique and personal perspective on the subject and to cover many topics using a unified approach essentially based on the Stieltjes transform and orthogonal polynomials. The exposition is supplemented by numerous comments, remarks, and problems. This results in a book that presents a detailed and self-contained treatment of the basic random matrix ensembles and asymptotic regimes.<br/><br/>This book will be an important reference for researchers in a variety of areas of mathematics and mathematical physics. Various chapters of the book can be used for graduate courses; the main prerequisite is a basic knowledge of calculus, linear algebra, and probability theory. --- summary provided by publisher
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Mariya Shcherbina
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Book
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Full call number Accession No. Koha item type
          ICTS Rack No 5 12/11/2019 QA 273.6 02296 Book