Hardcover ISBN:  9780821894712 
Product Code:  PSAPM/72 
List Price:  $60.00 
MAA Member Price:  $54.00 
AMS Member Price:  $48.00 
Electronic ISBN:  9781470416607 
Product Code:  PSAPM/72.E 
List Price:  $56.00 
MAA Member Price:  $50.40 
AMS Member Price:  $44.80 

Book DetailsProceedings of Symposia in Applied MathematicsVolume: 72; 2014; 176 ppMSC: Primary 11; 60; 15; 05; 62;
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 highdimensional geometry, together with several novel methods and a variety of open questions.ReadershipGraduate students and research mathematicians interested in the theory of random matrices and its relations to other areas in mathematics.

Table of Contents

Articles

Charles Bordenave and Djalil Chafaï  Lecture notes on the circular law

A. Guionnet  Free probability and random matrices

Alan Edelman, Brian D. Sutton and Yuyang Wang  Random matrix theory, numerical computation and applications

Mark Rudelson  Recent developments in nonasymptotic theory of random matrices

Terence Tao and Van Vu  Random matrices: The universality phenomenon for Wigner ensembles


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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 highdimensional geometry, together with several novel methods and a variety of open questions.
Graduate students and research mathematicians interested in the theory of random matrices and its relations to other areas in mathematics.

Articles

Charles Bordenave and Djalil Chafaï  Lecture notes on the circular law

A. Guionnet  Free probability and random matrices

Alan Edelman, Brian D. Sutton and Yuyang Wang  Random matrix theory, numerical computation and applications

Mark Rudelson  Recent developments in nonasymptotic theory of random matrices

Terence Tao and Van Vu  Random matrices: The universality phenomenon for Wigner ensembles