Spectral Theory of Large Dimensional Random Matrices and its, Bai Zhidong

Автор: Zhidong Bai; Jack W. Silverstein
Название: Spectral Analysis of Large Dimensional Random Matrices
ISBN: 1461425921 ISBN-13(EAN): 9781461425922
Издательство: Springer
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Описание: This book introduces basic concepts, main results and widely-applied mathematical tools in the spectral analysis of large dimensional random matrices. This updated edition includes two new chapters and summaries from the field of random matrix theory.

Автор: Blower, Gordon
Название: Random matrices: high dimensional phenomena
ISBN: 0521133122 ISBN-13(EAN): 9780521133128
Издательство: Cambridge Academ
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Описание: An introduction to the behaviour of random matrices. Suitable for postgraduate students and non-experts.

Автор: Forrester Peter J
Название: Log-Gases and Random Matrices
ISBN: 0691128294 ISBN-13(EAN): 9780691128290
Издательство: Wiley
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Цена: 20592.00 р.
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Описание: Random matrix theory, both as an application and as a theory, has evolved rapidly over the years. This title chronicles these developments, emphasizing log-gases as a physical picture. It covers topics such as beta ensembles and Jack polynomials. It develops the application and theory of Gaussian and circular ensembles of random matrix theory.

Автор: James A. Mingo; Roland Speicher
Название: Free Probability and Random Matrices
ISBN: 1493969412 ISBN-13(EAN): 9781493969418
Издательство: Springer
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Цена: 16769.00 р.
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Описание: 1. Asymptotic Freeness of Gaussian Random Matrices.- 2. The Free Central Limit Theorem and Free Cumulants.- 3. Free Harmonic Analysis.- 4. Asymptotic Freeness.- 5. Second Order Freeness.- 6. Free Group Factors and Freeness.- 7. Free Entropy X-the Microstates Approach via Large Deviations.- Free Entropy X*-the Non-Microstates Approach via Free Fisher Information.- 9. Operator-Valued Free Probability Theory and Block Random Matrices.- 10. Polynomials in Free Variables and Operator-Valued Convolution.- 11. Brown Measure.- Solutions to Exercises.- References.- Index of Exercises.

Автор: Kollo Tonu
Название: Multivariate Statistics: Theory And Applications - Proceedings Of The Ix Tartu Conference On Multivariate Statistics And Xx International Workshop On Matrices And Statistics
ISBN: 9814449393 ISBN-13(EAN): 9789814449397
Издательство: World Scientific Publishing
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Цена: 16790.00 р.
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Описание: The book aims to present a wide range of the newest results on multivariate statistical models, distribution theory and applications of multivariate statistical methods. A paper on Pearson-Kotz-Dirichlet distributions by Professor N Balakrishnan contains main results of the Samuel Kotz Memorial Lecture. Extensions of linear models to multivariate exponential dispersion models and Growth Curve models are presented, and several papers on classification methods are included. Applications range from insurance mathematics to medical and industrial statistics and sampling algorithms.

Автор: Alice Guionnet
Название: Large Random Matrices: Lectures on Macroscopic Asymptotics
ISBN: 3540698965 ISBN-13(EAN): 9783540698968
Издательство: Springer
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Описание: Random matrix theory has developed in connection with various fields of mathematics and physics. This title includes notes that emphasize the relation with the problem of enumerating complicated graphs, and the related large deviations questions.

Автор: Anderson, Greg W. Guionnet, Alice Zeitouni, Ofer
Название: Introduction to random matrices
ISBN: 0521194520 ISBN-13(EAN): 9780521194525
Издательство: Cambridge Academ
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Описание: The theory of random matrices plays an important role in many areas of pure mathematics. This rigorous introduction is specifically designed for graduate students in mathematics or related sciences, who have a background in probability theory but have not been exposed to advanced notions of functional analysis, algebra or geometry.

Автор: Ravindra B. Bapat; Steve J. Kirkland; K. Manjunath
Название: Combinatorial Matrix Theory and Generalized Inverses of Matrices
ISBN: 813221725X ISBN-13(EAN): 9788132217251
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book examines two important contemporary areas in linear algebra, namely combinatorial matrix theory and generalized inverses. It covers a wide range of topics of interest such as graph theory, linear algebra, numerical methods and statistical inference.

Автор: Haruo Yanai; Kei Takeuchi; Yoshio Takane
Название: Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition
ISBN: 1461428599 ISBN-13(EAN): 9781461428596
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This valuable reference on projectors, generalized inverses, and SVD covers concepts numerous cutting-edge concepts and provides systematic and in-depth accounts of these ideas from the viewpoint of linear transformations of finite dimensional vector spaces.