Publications

last updated on May 18, 2017

• 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

   

• 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)
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• Free Probability Theory and Non-Crossing Partitions
  (main talk at the 39e Seminaire Lotharingien de Combinatoire in Thurnau, April 1997)
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• Physical Applications of Freeness
  (invited talk at the Congress on Mathematical Physics in Brisbane, July 1997)
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• Freie Wahrscheinlichkeitstheorie (in German)
  (Vortrag zu Ehren der Emeritierung von Prof. W. von Waldenfels, 13. Juni 1997)
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• Free calculus
  (lecture at the summer school on quantum probability in Grenoble, July 1998)
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• 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)

1. Free Group Factors and Freeness
2. Combinatorial Description and Free Convolution
3. Freeness and Random Matrices
4. Applications of Freeness to Operator Algebras

• Combinatorial Aspects of Free Probability Theory
  (lectures at the summer school "Freie Wahrscheinlichkeitstheorie", Goettingen, August 2005)

1. Free Central Limit Theorem and Non-Crossing Pairings
2. Combinatorial and Analytic Theory of Free Convolution and R-Transform
3. Multiplication of Free Variables and S-Transform
4. 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)

1. Grundbegriffe der nicht-kommutativen Wahrscheinlichkeitstheorie
2. Freie Zufallsvariable
3. Zwei kanonische Beispiele für freeness: Gruppenalgebren und voller Fockraum
4. Der freie zentrale Grenzwertsatz
5. Konstruktion von freien Produkten
6. Freie Faltung und R-Transformation
7. Freeness und Kumulanten
8. Physikalischer Exkurs: Master Gleichungen
9. Freeness und Zufallsmatrizen
10. von Neumann Algebren
11. Freeness und von Neumann Algebren

last updated September 12, 2019

• Sharp Bounds for Sums Associated to Graphs of Matrices
  (talk at third annual meeting of SFB-TRR 195, Saarland University, September 2019)
  pdf-file
• Dan-Virgil Voiculescu: visionary operator algebraist and creator of free probability theory
  (talk in honour Dan Voiculescu's 70th birthday, Fields Institute, Toronto Canada, June 2019)
  pdf-file
  watch online
• Zufall und Chaos
  (talk within the scope of the lecture series "Purer Zufall", Saarbrücken, Januaray 2017)
  pdf-file
• Free Probability, Random Matrices, and Non-Commutative Rational Functions
  (colloquium talk 2017-2019, various places)
  pdf-file
  watch online
• Combinatorial Aspects of Free Probability and Free Stochastic Calculus
  (talks at Summer School on "Algebraic and Combinatorial Methods in Stochastic Calculus", Santander, Spain, July 2017)
  pdf-file (first four talks)
  pdf-file (fifth talk)
• Random Matrices and Their Limits
  (talk at PCMI program on Random Matrices, Park City, Utah, July 2017)
  pdf-file
  watch online, part 1
  watch online, part 2
• On Deformations and Independencies
  (talk at workshop in Bedlewo, Poland, in honour of Marek Bozejko's 70 birthday)
  pdf-file
• Faszination Mathematik: Vortrag zum Tag der offenen Tür
  (talk for high school students, open house July 2016)
  pdf-file
• Linearization and Brown Measure
  (talk at the Symposium: The mathematical legacy of Uffe Haagerup, Copenhagen, June 2016)
  pdf-file
• Faszination Mathematik: von Neumann-Algebren und Zufallsmatrizen
  (colloquium talk in Saarbrucken, May 2016; in German; intended for students)
  pdf-file
• Quantum Groups with Partial Commutation Relations
  (talk at Spring Institute on NCG and OA, Bonn, May 2016)
  pdf-file
• The Asymptotics of Young Diagrams and Free Probability Theory
  (talk at the Spring School ''Geometric Models'', Darmstadt, April 2016)
  pdf-file
• Second Order Freeness: Past and Future
  (talk at conference in honour of James Mingo on the occasion of his 60th birthday, Kingston, October 2015)
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• Introduction to Free Probability Theory: Combinatorics, Random Matrices, and Quantum Groups
  (talk at workshop Quantum Groups and Quantum Information Theory, Herstmonceux, UK, July 2015)
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• Free Probability and Non-Commutative Symmetries
  (talk at graduate summer/winter schools in Metabief, France, December 2014 and Bedlewo, Poland, July 2015)
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• On Atoms and Zero Divisors (Polynomial and Rational)
  (talk at COSy 2015, in honour of George Elliott's 70th birthday, Waterloo, Canada, June 2015)
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• Operator-Valued Free Probability and Block Random Matrices
  (survey talks at Seminar on Free Probability and Random Matrices, CIMAT, Guanajuato, Mexico, April 2015)
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• On Deterministic Equivalents from a Free Probabilistic Perspective
  (talk at workshop Applications of RMT and Statistical Physics in Communications and Networks, November 2014)
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• Absence of Algebraic Relations and of Zero Divisors under the Assumption of Finite Non-Microstates Free Fisher Information
  (talk given at various places, like in Chungbuk, Korea, and Bielefeld in 2014)
  pdf-file
• Free Probability Theory and Random Matrices
  (talk in section ''Analysis and Its Applications'' at ICM Seoul, August 2014)
  pdf-file
  watch online
• Polynomials in Asymptotically Free Random Matrices
  (talk at the workshop Random Matrix Theory: Foundations and Applications, Krakow, July 2014)
  pdf-file
• On the effectiveness of operator-valued free probability theory
  (Jeffery-Williams Lecture at the CMS meeting in Montreal, December 2012)
  pdf-file
• Sharp Bounds for Sums Associated to Graphs of Matrices
  (talk at conference at Campobasso, in honour of W. von Waldenfels' 80th birthday, October 2012)
  pdf-file
• The Unreasonable Effectiveness of Mathematics
  (talk at Queen's University for general academic audience, at the award of my Prize for Excellence in Research, March 2011)
  pdf-file
• Quantum groups made easy
  (colloquium talk 2010-2013 at various places)
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• What is operator-valued free probability and why should engineers care about it
  (talk at the Workshop on Random Matrix Theory and Wireless Communications, July 2008, Boulder)
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• Free Probability Theory and Random Matrices
  (survey talk at the DIMACS Workshop on Random Matrices, March 2008)
  pdf-file
• Multiplication of free random variables and the S-transform: the case of vanishing mean
  (talk at a meeting in Sibiu, Romania, 2007)
  pdf-file
• Higher Order Freeness: A Survey
  (talk at BIRS Workshop on Free Probability, Extensions and Applicatoins, Banff, January 2008)
  pdf-ifile
• Free Probability Theory and Non-Crossing Partitions
  (survey talk at Fields Workshop on Free Probability, Random Matrices, and Planar Algebras, Toronto, 2007)
  pdf-file
• Stochastische Analysis fuer Zufallsmatrizen
  (survey talk, in German, on stochastic analysis for random matrices, given at Bonn, 2007)
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• Invariance under Quantum Permutations and Free Probability
  (talk at the Global KMS International Conference, Jeju, Korea, Oct. 2008)
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• Operator-valued semicircular elements: at the intersection of combinatorics, random matrix theory and complex analysis
  (colloquium talk, given at MIT, Toronto, Erlangen, KIAS, etc., 2008)
  pdf-file
• Orthogonal groups and liberation of orthogonal matrix groups 
  (talk at the CMS meeting, Toronto, Dec. 2008)
  pdf-file