Contents Preface vii Lecture notes on the circular law Charles Bordenave and Djalil Chafa¨ 1 Free probability and random matrices Alice Guionnet 35 Random matrix theory, numerical computation and applications Alan Edelman, Brian Sutton, and Yuyang Wang 53 Recent developments in non-asymptotic theory of random matrices Mark Rudelson 83 Random matrices: The universality phenomenon for Wigner ensembles Terence Tao and Van Vu 121 Index 173 v
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