Description: This course will give a brief introduction to random matrix theory. Some topics we plan to cover are: Wigner semicircle law, the moment method, the resolvent method, invariant ensembles, Wigner matrices, sample covariance matrices, bulk universality, edge universality, rigidity of eigenvalues, Dyson Brownian motion, Tracy-Widom law, and free probability.Prerequisite:Probability, S...
IntroductionThis course will focus on a formal presentation of definitions and theorems on quantum channels in quantum information theory.Numerous mathematical proofs of these theorems will be showed.Lecturer IntroMeng Cao received the PhD degree from the Department of Mathematical Sciences, Tsinghua University, in Aug. 2020. From Sep. 2020 to Nov. 2022, he worked as a postdoctoral researcher i...