Random Matrices: Theory and Practice

Seminar Presenter, University of Science and Technology of China, Mathematics Department,

The main topics include:

My presentation primarily focused on random matrices, particularly using the Moment Method to prove:

  • Wigner’s Semicircle Law
  • Marcenko-Pastur Law

The presentation slides is available here:

Or you can download here.

Generating a Second-Order Gaussian Orthogonal Ensemble (GOE)

In the vedio below, we show how to generate a second-order Gaussian Orthogonal Ensemble (GOE) matrix. We visualize the process using the Manim library.