Prof. Dr. Roland Speicher
Survey articles
- Free Probability Theory and its avatars in representation theory, random matrices, and operator algebras;
also featuring: non-commutative distributions
(Speicher, R. Jahresber. Dtsch. Math. Ver. (2017) 119: 3. doi:10.1365/s13291-016-0150-5)
pdf-file
open online link - Free Probability, Random Matrices, and Representations of Non-Commutative Rational Functions
joint with Tobias Mai; contribution for the 2016 Abel Symposium
pdf-file - Zufallsmatrizen, das Zählen von Flächen und Freie Wahrscheinlichkeitstheorie
Speicher, Roland. "Zufallsmatrizen, das Zählen von Flächen und Freie Wahrscheinlichkeitstheorie." Mitteilungen der Deutschen Mathematiker-Vereinigung 23.1 (2015): 36-42.
pdf-file
open online link - Free Probability and Non-Commutative Symmetries
my contribution to the proceedings volume ''Quantum Symmetries''
(Christmas School on “Operator Spaces, NonCommutative Probability and Quantum Groups†at Metabief, December 2014)
pdf-file - Polynomials in Asymptotically Free Random Matrices
Speicher, R. "Polynomials in Asymptotically Free Random Matrices." Acta Physica Polonica B 46 (2015): 1611.
(extended version of my talk at workshop ''RMT: Foundations and Applications'' in Krakow, July 2014)
pdf-file - Random Matrices and Combinatorics
my contribution to the Monograph ''Free Probability and Operator Algebras''
(Masterclass in Münster, September 2013)
pdf-file
open online link - Free Probability Theory and Random Matrices
manuscript of my lectures at the summer school ''Randommess in Physics and Mathematics'', Bielefeld, August 2013
pdf-file - Free Probability Theory
my contribution to Akemann, Gernot, Jinho Baik, and Philippe Di Francesco, eds. The Oxford handbook of random matrix theory. Oxford University Press, 2011.
pdf-file -
Combinatorics of free probability theory
(lectures at IHP, Paris, 1999)
pdf-file - Free Probability Theory and
Non-Crossing Partitions
(main talk at the 39e Seminaire Lotharingien de Combinatoire in Thurnau, April 1997)
ps-file - Physical Applications of Freeness
(invited talk at the Congress on Mathematical Physics in Brisbane, July 1997)
ps-file - Freie Wahrscheinlichkeitstheorie
(in German)
(Vortrag zu Ehren der Emeritierung von Prof. W. von Waldenfels, 13. Juni 1997)
ps-file - Free calculus
(lecture at the summer school on quantum probability in Grenoble, July 1998)
ps-file - Free probability theory and free diffusion
(talk at the Japanese-German Symposium in Kyoto, Sept. 1999)
dvi-file, ps-file - Free probability theory and random matrices
(lectures at the summer school on 'Asymptotic Combinatorics with Application to Mathematical Physics' in St. Petersburg, July 2001)
pdf-file, ps-file - Free Probability Theory
(lectures at the summer school in Operator Algebras, Ottawa, June 2005)- Free Group Factors and Freeness
- Combinatorial Description and Free Convolution
- Freeness and Random Matrices
- Applications of Freeness to Operator Algebras
- Combinatorial Aspects of Free Probability Theory
(lectures at the summer school "Freie Wahrscheinlichkeitstheorie", Goettingen, August 2005)- Free Central Limit Theorem and Non-Crossing Pairings
- Combinatorial and Analytic Theory of Free Convolution and R-Transform
- Multiplication of Free Variables and S-Transform
- Applications of Free Probability to Random Matrices (joint manuscript with N. Raj Rao)
- Vorlesung: Freie Wahrscheinlichkeitstheorie (WS 97/98)
(lecture on free probability theory; in German)- Grundbegriffe der nicht-kommutativen Wahrscheinlichkeitstheorie
- Freie Zufallsvariable
- Zwei kanonische Beispiele für freeness: Gruppenalgebren und voller Fockraum
- Der freie zentrale Grenzwertsatz
- Konstruktion von freien Produkten
- Freie Faltung und R-Transformation
- Freeness und Kumulanten
- Physikalischer Exkurs: Master Gleichungen
- Freeness und Zufallsmatrizen
- von Neumann Algebren
- Freeness und von Neumann Algebren
Published articles
Slides of talks
Preprints
| updated: 17 May 2017 Felix Leid | Impressum |
