Free Probability Theory

A blog on freeing probability from its commutative chains

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  • Home
  • FAQ on Free Probability
  • Literature on Free Probability
    • Nica and Speicher: Lectures on the Combinatorics of Free Probability
    • Mingo and Speicher: Free Probability and Random Matrices
    • Roland Speicher: Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory
  • About
  • Lecture Courses around Free Probability
    • Course on “High Dimensional Analysis: Random Matrices and Machine Learning”, summer term 2023
    • Course on “Random Matrices”, winter term 2019/2020
    • 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

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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Free Events

Berkeley’s Probabilistic Operator Algebra Seminar (Mondays, online)

Probability Seminar, Warsaw University of Technology (Tuesdays, online)

ACPMS Seminar on Algebraic and Combinatorial Perspectives in the Mathematical Sciences (Fridays, online)

Categories

  • FAQ
    • Connes embedding problem
    • intermediate quantum permutation group
    • Wigner
  • General
  • High-Dimensional Analysis: Random Matrices and Machine Lernaing 2023
  • Lectures
    • Free Probability Theory 2018/19
    • High-Dimensional Analysis: Random Matrices and Machine Lernaing 2023
    • Non-Commutative Distributions 2019
    • Random Matrices 2018
    • Random Matrices 2019/2020
  • Machine Learning
  • Meetings
  • online seminar

Recent Posts

  • The intermediate quantum permutation group problem
  • Understanding Non-Linearity in Random Matrices
  • The noncommutative Edmonds’ problem revised: how to calculate the inner rank of matrices in noncommuting variables
  • What do determinants tell us about the eigenvalues of integer-valued matrices? — And what can we say about Fuglede-Kadison determinants of operator-valued semicircular elements?
  • “Structured random matrices and cyclic cumulants: A free probability approach” by Bernard and Hruza

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  • Roland Speicher's avatar Roland Speicher

Blogs I Follow

  • Free Probability Theory
  • Ramis Movassagh
  • Almost Sure
  • Gödel's Lost Letter and P=NP
  • Azimuth
  • What's new
  • Noncommutative Analysis
Blog at WordPress.com.
Free Probability Theory

A blog on freeing probability from its commutative chains

Ramis Movassagh

Almost Sure

A random mathematical blog

Gödel's Lost Letter and P=NP

a personal view of the theory of computation

Azimuth

What's new

Updates on my research and expository papers, discussion of open problems, and other maths-related topics. By Terence Tao

Noncommutative Analysis

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