YoVDO

Random Matrices and the Uses of Dyson-Schwinger Equations - III

Offered By: ICTP Mathematics via YouTube

Tags

Random Matrix Theory Courses Central Limit Theorem Courses Asymptotics Courses Covariance Courses Operator Algebra Courses

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

Finding Low-Rank Matrices - From Matrix Completion to Recent Trends
Simons Institute via YouTube
An Introduction to Determinantal Point Processes - John C Urschel
Institute for Advanced Study via YouTube
Quantum Aspects of Black Holes - Lecture 3
International Centre for Theoretical Sciences via YouTube
Quantum Phases of Matter - The SYK Model
International Centre for Theoretical Sciences via YouTube
Fractionalized Metallic Phases in the Single Band Hubbard Model - Quantum Phases of Matter XXII
International Centre for Theoretical Sciences via YouTube