Random Matrices and the Uses of Dyson-Schwinger Equations - III
Offered By: ICTP Mathematics via YouTube
Course Description
Overview
Explore a comprehensive lecture on random matrices and Dyson-Schwinger equations delivered by Alice Guionnet from ENS, Lyon, France. Delve into advanced mathematical concepts, beginning with an introduction to the topic and progressing through first asymptotics. Discover the applications in operator algebra and examine rational states. Follow the detailed proof and study covariances, inversion theorems, and limits. Analyze various strategies and conclude with an exploration of the Central Limit Theorem. Gain valuable insights into this complex area of mathematics through this in-depth presentation, part of the School and Workshop on Random Matrix Theory and Point Processes.
Syllabus
Introduction
First asymptotics
Use in operator algebra
Rational state
Proof
Covariances
Inversion
Theorem
Limit
Covariance
Strategies
Central Limit Theorem
Taught by
ICTP Mathematics
Related Courses
Mathematical Biostatistics Boot Camp 1Johns Hopkins University via Coursera Analysis of Algorithms
Princeton University via Coursera Calculus: Single Variable Part 1 - Functions
University of Pennsylvania via Coursera SGD in the Large - Average-Case Analysis, Asymptotics, and Stepsize Criticality
Fields Institute via YouTube Asymptotics for the Lower Tail of the KPZ Equation
ICTP Mathematics via YouTube