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Free Probability Theory
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FAQ on Free Probability
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Literature on Free Probability
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Nica and Speicher: Lectures on the Combinatorics of Free Probability
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Mingo and Speicher: Free Probability and Random Matrices
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Roland Speicher: Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory
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About
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Lecture Courses around Free Probability
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Course on “High Dimensional Analysis: Random Matrices and Machine Learning”, summer term 2023
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Course on “Random Matrices”, winter term 2019/2020
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Course on “Non-Commutative Distributions”, summer term 2019
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Course on “Free Probability Theory”, winter term 2018/19
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Course on “Random Matrices”, summer term 2018
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Course on “Von Neumann algebras, subfactors, and planar algebras”, summer term 2016
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The intermediate quantum permutation group problem
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Leave a reply
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here
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notes
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FAQ
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General
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intermediate quantum permutation group
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1. Sep 2025
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afreslon
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Understanding Non-Linearity in Random Matrices
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Leave a reply
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Probabilistic Operator Algebra Seminar
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“Structured random matrices and cyclic cumulants: A free probability approach” by Bernard and Hruza
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preprint
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Pennington and Worah
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Peche
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above mentioned previous post
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Entrywise application of non-linear functions on orthogonally invariant random matrices
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General
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Machine Learning
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Gaussian equivalence principle
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non-linear functions
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random matrices
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18. Dec 2024
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Roland Speicher
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The noncommutative Edmonds’ problem revised: how to calculate the inner rank of matrices in noncommuting variables
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Leave a reply
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Here is a link
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paper with Johannes and Tobias on the noncommutative Edmonds’ problem
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recent results of Tobias and mine on the Fuglede-Kadison determinant of matrix-valued semicircular elements
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work of Garg, Gurvits, Oliveira and Widgerson
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General
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Edmonds problem
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free probability
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inner rank
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2. Jul 2024
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Roland Speicher
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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?
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Leave a reply
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recent work with Johannes Hoffmann and Tobias Mai
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Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates
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General
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free probability
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Fuglede-Kadison determinant
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operator-valued semicircular element
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random matrices
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25. Jun 2024
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Roland Speicher
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“Structured random matrices and cyclic cumulants: A free probability approach” by Bernard and Hruza
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2 Replies
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here
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here
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Structured random matrices and cyclic cumulants : A free probability approach
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work of Dima Shlyakhtenko on band matrices,
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this paper
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General
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High-Dimensional Analysis: Random Matrices and Machine Lernaing 2023
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Machine Learning
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cyclic cumulants
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Gaussian equivalence principle
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non-linear random matrices
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operator-valued free probability
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22. Feb 2024
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Roland Speicher
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Berkeley’s Probabilistic Operator Algebra Seminar is Back
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Leave a reply
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here
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small note on the arXiv
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General
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online seminar
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bi-freeness
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online talks
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reflection positivity
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28. Jan 2024
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Roland Speicher
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Free probability, between math and physics (and also machine learning) – some updates
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1 Reply
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recent post of a similar title
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preprint by Hruza and Bernard
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Spectrum of subblocks of structured random matrices: A free probability approach
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Designs via free probability
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last lecture of my machine learning course
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video on Gaussian equivalence principle
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General
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Machine Learning
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eigenstate thermalization hypothesis
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free cumulants
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free probability
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open quantum SSEP
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random matrices
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1. Oct 2023
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Roland Speicher
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Free Probability, Random Matrices and Machine Learning
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1 Reply
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lecture notes
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blog page concerning this course
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corresponding youtube playlist
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High-Dimensional Analysis: Random Matrices and Machine Lernaing 2023
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Lectures
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Machine Learning
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high dimensional analysis
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lecture series
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neural network
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video
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21. Jul 2023
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Roland Speicher
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Black hole, replica trick, de Finetti and free probability
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Leave a reply
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Jinzhao Wang
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here
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here
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review article
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PSSY
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This recent paper
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previous post
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Pluma and Speicher
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recent paper
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General
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black hole
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de Finetti
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free probability
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replica trick
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11. Oct 2022
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Roland Speicher
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Free probability, between maths and physics
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3 Replies
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Eigenstate Thermalization Hypothesis and Free Probability
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Dynamics of Fluctuations in the Open Quantum SSEP and Free Probability
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“Inhomogeneous Random Structures”
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Jorge Kurchan
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Meetings
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dynamics of fluctuations
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eigenstate thermalization hypothesis
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free probability
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open quantum SSEP
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quantum chaos
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2. Oct 2022
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Roland Speicher
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← Older posts
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Berkeley’s Probabilistic Operator Algebra Seminar
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Probability Seminar, Warsaw University of Technology
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ACPMS Seminar on Algebraic and Combinatorial Perspectives in the Mathematical Sciences
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FAQ
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Connes embedding problem
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intermediate quantum permutation group
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Wigner
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General
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High-Dimensional Analysis: Random Matrices and Machine Lernaing 2023
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Lectures
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Free Probability Theory 2018/19
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High-Dimensional Analysis: Random Matrices and Machine Lernaing 2023
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Non-Commutative Distributions 2019
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Random Matrices 2018
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Random Matrices 2019/2020
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Machine Learning
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Meetings
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online seminar
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intern |
natürliche Links |
|
The intermediate quantum permutation group problem
|
intern |
natürliche Links |
|
Understanding Non-Linearity in Random Matrices
|
intern |
natürliche Links |
|
The noncommutative Edmonds’ problem revised: how to calculate the inner rank of matrices in noncommuting variables
|
intern |
natürliche Links |
|
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?
|
intern |
natürliche Links |
|
“Structured random matrices and cyclic cumulants: A free probability approach” by Bernard and Hruza
|
intern |
natürliche Links |
|
afreslon
|
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natürliche Links |
|
jgarzavargas
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Roland Speicher
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Free Probability Theory
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Ramis Movassagh
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Almost Sure
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Gödel's Lost Letter and P=NP
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Azimuth
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What's new
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Noncommutative Analysis
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Blog at WordPress.com.
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Free Probability Theory
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Ramis Movassagh
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Almost Sure
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Gödel's Lost Letter and P=NP
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Azimuth
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What's new
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Noncommutative Analysis
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Free Probability Theory
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Blog at WordPress.com.
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Free Probability Theory
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