Tao's New Paper: Delving into Eigenvalue Distribution of GUE and its Minors
2024-12-22
In his latest arXiv preprint, renowned mathematician Terence Tao delves into the distribution of eigenvalues of the Gaussian Unitary Ensemble (GUE) and its minors at fixed indices. Employing determinantal processes and sophisticated analytical techniques, the paper establishes several estimates regarding eigenvalue gaps, addressing previously unanswered questions and paving the way for future work on the limiting behavior of 'hives' with GUE boundary conditions. This research significantly contributes to the understanding of random matrix models and related fields.