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Author: Chin-Kun Hu
Publisher:
ISBN:
Category :
Languages : en
Pages : 380
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Book Description
Author: Chin-Kun Hu
Publisher:
ISBN:
Category :
Languages : en
Pages : 380
Get Book Here
Book Description
Author: Chin-Kun Hu
Publisher:
ISBN:
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 380
Get Book Here
Book Description
Author: Statphys - Taiwan (6, 2002, Taibei; Taizhong, Taiwan)
Publisher:
ISBN:
Category :
Languages : en
Pages : 380
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Book Description
Author: Fa Yueh Wu
Publisher: World Scientific
ISBN: 9814471224
Category : Science
Languages : en
Pages : 661
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Book Description
This unique volume provides a comprehensive overview of exactly solved models in statistical mechanics by looking at the scientific achievements of F Y Wu in this and related fields, which span four decades of his career. The book is organized into topics ranging from lattice models in condensed matter physics to graph theory in mathematics, and includes the author's pioneering contributions. Through insightful commentaries, the author presents an overview of each of the topics and an insider's look at how crucial developments emerged. With the inclusion of important pedagogical review articles by the author, Exactly Solved Models is an indispensable learning tool for graduate students, and an essential reference and source book for researchers in physics and mathematics as well as historians of science.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 162
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Book Description
Author: StatPhys - Taiwan. 5, 1999, Taibei; Hualian
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Statphys - Taiwan (7, 2004, Taibei)
Publisher:
ISBN:
Category : Biophysics
Languages : en
Pages : 162
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Book Description
Author: Zhidong Bai
Publisher: Springer Science & Business Media
ISBN: 1441906614
Category : Mathematics
Languages : en
Pages : 560
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Book Description
The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. The core of the book focuses on results established under moment conditions on random variables using probabilistic methods, and is thus easily applicable to statistics and other areas of science. The book introduces fundamental results, most of them investigated by the authors, such as the semicircular law of Wigner matrices, the Marcenko-Pastur law, the limiting spectral distribution of the multivariate F matrix, limits of extreme eigenvalues, spectrum separation theorems, convergence rates of empirical distributions, central limit theorems of linear spectral statistics, and the partial solution of the famous circular law. While deriving the main results, the book simultaneously emphasizes the ideas and methodologies of the fundamental mathematical tools, among them being: truncation techniques, matrix identities, moment convergence theorems, and the Stieltjes transform. Its treatment is especially fitting to the needs of mathematics and statistics graduate students and beginning researchers, having a basic knowledge of matrix theory and an understanding of probability theory at the graduate level, who desire to learn the concepts and tools in solving problems in this area. It can also serve as a detailed handbook on results of large dimensional random matrices for practical users. This second edition includes two additional chapters, one on the authors' results on the limiting behavior of eigenvectors of sample covariance matrices, another on applications to wireless communications and finance. While attempting to bring this edition up-to-date on recent work, it also provides summaries of other areas which are typically considered part of the general field of random matrix theory.
Author: Zhaoben Fang
Publisher: World Scientific
ISBN: 9814579076
Category : Mathematics
Languages : en
Pages : 233
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Book Description
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.
