Modern aspects of random matrix theory : AMS Short Course, Random Matrices, January 6-7, 2013, San Diego, California
著者
書誌事項
Modern aspects of random matrix theory : AMS Short Course, Random Matrices, January 6-7, 2013, San Diego, California
（Proceedings of symposia in applied mathematics, v. 72 . AMS short course lecture notes : introductory survey lectures）
American Mathematical Society, c2014
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
The theory of random matrices is an amazingly rich topic in mathematics. Random matrices play a fundamental role in various areas such as statistics, mathematical physics, combinatorics, theoretical computer science, number theory and numerical analysis. This volume is based on lectures delivered at the 2013 AMS Short Course on Random Matrices, held January 6-7, 2013 in San Diego, California. Included are surveys by leading researchers in the field, written in introductory style, aiming to provide the reader a quick and intuitive overview of this fascinating and rapidly developing topic. These surveys contain many major recent developments, such as progress on universality conjectures, connections between random matrices and free probability, numerical algebra, combinatorics and high-dimensional geometry, together with several novel methods and a variety of open questions.
目次
Lecture notes on the circular law by C. Bordenave and D. Chafai
Free probability and random matrices by A. Guionnet
Random matrix theory, numerical computation and applications by A. Edelman, B. D. Sutton, and Y. Wang
Recent developments in non-asymptotic theory of random matrices by M. Rudelson
Random matrices: The universality phenomenon for Wigner ensembles by T. Tao and V. Vu
Index
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