Eigenvalue Distribution of Large Random Matrices
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A01=Leonid Pastur
A01=Mariya Shcherbina
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Author_Leonid Pastur
Author_Mariya Shcherbina
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Category1=Non-Fiction
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COP=United States
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Product details
- ISBN 9780821852859
- Weight: 1300g
- Publication Date: 30 Jul 2011
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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Random matrix theory is a wide and growing field with a variety of concepts, results, and techniques and a vast range of applications in mathematics and the related sciences. The book, written by well-known experts, offers beginners a fairly balanced collection of basic facts and methods (Part 1 on classical ensembles) and presents experts with an exposition of recent advances in the subject (Parts 2 and 3 on invariant ensembles and ensembles with independent entries). 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. 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.
Leonid Pastur, Ukrainian National Academy of Sciences, Kharkov, Ukraine||Mariya Shcherbina, Ukrainian National Academy of Sciences, Kharkov, Ukrain
