The 2017 Park City Mathematics Institute summer school focused on developments in random matrix theory and interactive particle systems during the previous decade. Notes from the 10 lectures discuss such aspects as the semicircle law and beyond: the shape of spectra of Wigner matrices, the matrix Dyson equation and its application for random matrices, a short introduction to operator limits of random matrices, the microscopic description of log and Coulomb gases, and random matrices and free probability. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
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