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Research
We are interested in all aspects of Free Probability Theory; in particular, in its relations to random matrices and operator algebras; but also in applications in wireless communications or machine learning.
For a general introduction to free probability see the survey article
or watch the videos
- "What actually is free probability theory?" by Tobias Mai
- Dan-Virgil Voiculescu: visionary operator algebraist and creator of free probability theory
See also the page What is free probability?
Recorded Lecture Series by Roland Speicher
- High-Dimensional Analysis: Random Matrices and Machine Learning (summer term 2023)
- Mathematical Aspects of Quantum Mechanics (winter term 2020/21)
- Random Matrices (winter term 2019/20), videos on youtube (with descriptive titles)
- Non-commutative Distributions (and Operator-Valued Free Probability) (summer term 2019), videos on youtube (with descriptive titles)
- Free Probability Theory (winter term 2018/19), videos on youtube (with descriptive titles)
Lecture Notes by Roland Speicher
- High-Dimensional Analysis: Random Matrices and Machine Learning (summer term 2023)
- Random Matrices (winter term 2019/20); a corrected and polished version of this has now appeared with EMS Press as Lectures on Random Matrices.
- Non-commutative Distributions (summer term 2019)
- Free Probability Theory (winter term 2018/19)
- Von Neumann algebras, subfactors, and planar algebras (summer term 2016)
Postal address
Saarland University
Department of Mathematics
Postfach 15 11 50
66041 Saarbrücken
Germany
Visitors
Saarland University
Campus building E 2 4
66123 Saarbrücken
Germany