عنوان
پدید آورنده
موضوع
رده
QA188 .R36 2009eb
QA188
.
R36
2009eb
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
1282758047
(Number (ISBN
661275804X
(Number (ISBN
9781282758049
(Number (ISBN
9786612758041
(Number (ISBN
9789814273121
(Number (ISBN
9814273120
Erroneous ISBN
9789814273114
Erroneous ISBN
9814273112
NATIONAL BIBLIOGRAPHY NUMBER
Number
b707427
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Random matrix theory and its applications :
General Material Designation
[Book]
Other Title Information
multivariate statistics and wireless communications /
First Statement of Responsibility
editors, Zhidong Bai, Yang Chen, Ying-Chang Liang.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Hackensack, NJ :
Name of Publisher, Distributor, etc.
World Scientific,
Date of Publication, Distribution, etc.
©2009.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (x, 165 pages) :
Other Physical Details
illustrations
SERIES
Series Title
Lecture notes series,
Volume Designation
v. 18
ISSN of Series
1793-0758 ;
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references.
CONTENTS NOTE
Text of Note
Foreword; Preface; The Stieltjes Transform and its Role in Eigenvalue Behavior of Large Dimensional Random Matrices Jack W. Silverstein; 1. Introduction; 2. Why These Theorems are True; 3. The Other Equations; 4. Proof of Uniqueness of (1.1); 5. Truncation and Centralization; 6. The Limiting Distributions; 7. Other Uses of the Stieltjes Transform; References; Beta Random Matrix Ensembles Peter J. Forrester; 1. Introduction; 1.1. Log-gas systems; 1.2. Quantum many body systems; 1.3. Selberg correlation integrals; 1.4. Correlation functions; 1.5. Scaled limits.
Text of Note
2. Physical Random Matrix Ensembles2.1. Heavy nuclei and quantum mechanics; 2.2. Dirac operators and QCD; 2.3. Random scattering matrices; 2.4. Quantum conductance problems; 2.5. Eigenvalue p.d.f.'s for Hermitian matrices; 2.6. Eigenvalue p.d.f.'s for Wishart matrices; 2.7. Eigenvalue p.d.f.'s for unitary matrices; 2.8. Eigenvalue p.d.f.'s for blocks of unitary matrices; 2.9. Classical random matrix ensembles; 3.-Ensembles of Random Matrices; 3.1. Gaussian ensemble; 4. Laguerre Ensemble; 5. Recent Developments; Acknowledgments; References.
Text of Note
8. Example: Analysis of Large CDMA Systems8.1. Gaussian prior distribution; 8.2. Binary prior distribution; 8.3. Arbitrary prior distribution; 9. Phase Transitions; References.
Text of Note
Future of Statistics Zhidong Bai and Shurong Zheng1. Introduction; 2. A Multivariate Two-Sample Problem; 2.1. Asymptotic power of T 2 test; 2.2. Dempster's NET; 2.3. Bai and Saranadasa's ANT; 2.4. Conclusions and simulations; 3. A Likelihood Ratio Test on Covariance Matrix; 3.1. Classical tests; 3.2. Random matrix theory; 3.3. Testing based on RMT limiting CLT; 3.4. Simulation results; 4. Conclusions; Acknowledgment; References; The and Shannon Transforms: A Bridge between Random Matrices and Wireless Communications Antonia M. Tulino; 1. Introduction; 2. Wireless Communication Channels.
0
8
8
8
SUMMARY OR ABSTRACT
Text of Note
Random matrix theory has a long history, beginning in the first instance in multivariate statistics. It was used by Wigner to supply explanations for the important regularity features of the apparently random dispositions of the energy levels of heavy nuclei. The subject was further deeply developed under the important leadership of Dyson, Gaudin and Mehta, and other mathematical physicists. In the early 1990s, random matrix theory witnessed applications in string theory and deep connections with operator theory, and the integrable systems were established by Tracy and Widom. More recently, th.
OTHER EDITION IN ANOTHER MEDIUM
Title
Random matrix theory and its applications.
International Standard Book Number
9789814273114
TOPICAL NAME USED AS SUBJECT
Random matrices.
Algebra.
Mathematics.
Physical Sciences & Mathematics.
Random matrices.
MATHEMATICS-- Algebra-- Intermediate.
Random matrices.
(SUBJECT CATEGORY (Provisional
MAT-- 002040
DEWEY DECIMAL CLASSIFICATION
Number
512
Edition
22
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA188
Book number
.
R36
2009eb
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Bai, Zhidong.
Chen, Yang.
Liang, Ying-Chang.
ORIGINATING SOURCE
Date of Transaction
20201207223501.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
