
Modern Aspects of Random Matrix Theory
Van H. Vu(Editor)
American Mathematical Society (Publisher)
Published on 30. July 2014
Book
Hardback
176 pages
978-0-8218-9471-2 (ISBN)
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Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
400 gr
ISBN-13
978-0-8218-9471-2 (9780821894712)
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Schweitzer Classification
Person
Van H. Vu, Yale University, New Haven, CT.
Content
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
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