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Recent Progress in Random Matrix Theory

Offered By: BIMSA via YouTube

Tags

Random Matrix Theory Courses Graph Theory Courses Mathematical Analysis Courses Probability Theory Courses

Course Description

Overview

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Explore recent advancements in random matrix theory through this comprehensive lecture. Delve into the spectral statistics of normalized adjacency matrices for random d-regular graphs on N vertices. Examine the eigenvalue rigidity and characteristic fluctuations for the Tracy-Widom law, with a focus on the second largest eigenvalue. Investigate the behavior of extremal eigenvalues for specific graph conditions. Gain insights into the joint work of Hong Tzer Yau, Jiaoyang Huang, and Theo McKenzie, which presents groundbreaking results in this field of mathematics.

Syllabus

Hong Tzer Yau: Recent progress in random matrix theory #ICBS2024


Taught by

BIMSA

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