Free Probability Theory

A blog on freeing probability from its commutative chains

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  • FAQ on Free Probability
  • About
  • Lectures on Free Probability
    • Course on “Non-Commutative Distributions”, summer term 2019
    • Course on “Free Probability Theory”, winter term 2018/19
    • Course on “Random Matrices”, summer term 2018
    • Course on “Von Neumann algebras, subfactors, and planar algebras”, summer term 2016
  • Literature on Free Probability
    • Nica and Speicher: Lectures on the Combinatorics of Free Probability Theory
    • Mingo and Speicher: Free Probability and Random Matrices
    • Roland Speicher: Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory

Course on “Random Matrices”, summer term 2018

  • this course was given jointly with Marwa Banna
  • on the homepage of the course you can find references to literature and manuscripts
  • there is also a tex-ed version of the lecture notes.

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Categories

  • FAQ
    • Wigner
  • General
  • Lectures
    • Free Probability Theory 2018/19
    • Non-Commutative Distributions 2019
    • Random Matrices 2018
  • Meetings

Events

  • Focus Program on Applications of Noncommutative Functions
    Fields Institute, Toronto, Canada
    June 10 – July 5, 2019
  • Real Algebraic Geometry with a View Toward Hyperbolic Programming and Free Probability, MFO, Oberwolfach, March 1 – 7, 2020

Recent Posts

  • Update on videos of lectures and talks
  • Focus Program on Applications of Noncommutative Functions; Featuring a Celebration Banquet for Dan Voiculescu’s 70th Birthday
  • SYK Model and q-Brownian Motion
  • Class on “Non-Commutative Distributions”: Hand-Written Notes are Up
  • The Free Field: Realization via Unbounded Operators and Atiyah Property

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