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Free Probability and Random Matrices, James A. Mingo; Roland Speicher


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Автор: James A. Mingo; Roland Speicher
Название:  Free Probability and Random Matrices
ISBN: 9781493969418
Издательство: Springer
Классификация:

ISBN-10: 1493969412
Обложка/Формат: Hardcover
Страницы: 336
Вес: 0.67 кг.
Дата издания: 26.06.2017
Серия: Fields Institute Monographs
Язык: English
Издание: 1st ed. 2017
Иллюстрации: 45 illustrations, black and white; xiv, 336 p. 45 illus.
Размер: 165 x 244 x 22
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Introduction to random matrices

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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Цена: 11088.00 р.
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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.

Direct Methods for Sparse Matrices

Автор: Duff I. S
Название: Direct Methods for Sparse Matrices
ISBN: 0198508387 ISBN-13(EAN): 9780198508380
Издательство: Oxford Academ
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Цена: 13622.00 р.
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Описание: The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis. Efficient use of sparsity is a key to solving large problems in many fields. This book provides both insight and answers for those attempting to solve these problems.

Combinatorial Matrix Theory and Generalized Inverses of Matrices

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.

Positive definite matrices

Автор: Bhatia, Rajendra
Название: Positive definite matrices
ISBN: 0691129185 ISBN-13(EAN): 9780691129181
Издательство: Wiley
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Цена: 6486.00 р.
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Описание: Represents the synthesis of research into positive definite matrices. This book gives techniques that have applications in the study of such matrices. It introduces several key topics in functional analysis, operator theory, harmonic analysis, and differential geometry - all built around the central theme of positive definite matrices.

Handbook of matrices

Автор: Lutkepohl, Helmut
Название: Handbook of matrices
ISBN: 0471970158 ISBN-13(EAN): 9780471970156
Издательство: Wiley
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Цена: 21851.00 р.
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Описание: Matrices are used in many fields such as statistics, econometrics, mathematics, natural sciences and engineering. They provide a concise, simple method for describing long and complicated computations. This is a comprehensive handbook and dictionary of terms for matrix theory.

Spectral Theory and Applications of Linear Operators and Block Operator Matrices

Автор: Aref Jeribi
Название: Spectral Theory and Applications of Linear Operators and Block Operator Matrices
ISBN: 3319175653 ISBN-13(EAN): 9783319175652
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory.

Log-Gases and Random Matrices

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.

Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition

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.

Spectral Theory of Large Dimensional Random Matrices and its

Автор: Bai Zhidong
Название: Spectral Theory of Large Dimensional Random Matrices and its
ISBN: 981457905X ISBN-13(EAN): 9789814579056
Издательство: World Scientific Publishing
Цена: 12830.00 р.
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Описание: The book contains three parts: Spectral theory of large dimensional random matrices; Applications to wireless communications; and Applications to finance. In the first part, we introduce some basic theorems of spectral analysis of large dimensional random matrices that are obtained under finite moment conditions, such as the limiting spectral distributions of Wigner matrix and that of large dimensional sample covariance matrix, limits of extreme eigenvalues, and the central limit theorems for linear spectral statistics. In the second part, we introduce some basic examples of applications of random matrix theory to wireless communications and in the third part, we present some examples of Applications to statistical finance.

Positive Definite Matrices

Автор: Bhatia Rajendra
Название: Positive Definite Matrices
ISBN: 0691168253 ISBN-13(EAN): 9780691168258
Издательство: Wiley
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Цена: 5069.00 р.
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Описание: This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical enginee

Random Matrices and Iterated Random Functions

Автор: Gerold Alsmeyer; Matthias L?we
Название: Random Matrices and Iterated Random Functions
ISBN: 3642388051 ISBN-13(EAN): 9783642388057
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The aim of the workshop was to bring together researchers from two fields of probability theory: random matrix theory and the theory of iterated random functions.


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