Serie : Panoramas et synthèses. Vol 53
Paru le 19/04/2018 | Broché IX-190 pages
Professionnels
edited by F. Benaych-Georges, D. Chafaï, S. Péché, B. de Tilière
This book provides three accessible panoramas and syntheses on advanced topics in random matrix theory : (1) local semicircle law for Wigner matrices, and applications to eigenvectors delocalization, rigidity of eigenvalues, and fourth moment theorem ; (2) spectrum of random graphs, recent advances on eigenvalues and eigenvectors, and open problems ; (3) deformed random matrices and free probability, unified understanding of various asymptotic phenomena such as spectral measure description, localization and fluctuations of extremal eigenvalues, eigenvectors behavior.
