Publications

this list is not updated any more; for more recent articles or preprints of mine, see math-archive

• Nourdin, I., Peccati, G., Speicher, R.
  Multidimensional semicircular limits on the free Wigner chaos
  Proceedings Ascona 2011, to appear
• Mingo, J., Speicher, R.
  Sharp bounds for sums associated to graphs of matrics
  J. Funct. Anal., to appear
• Kemp T., Nourdin I., Peccati G., Speicher R.
  Wigner chaos and the fourth moment
  Ann. Prob., to appear
• Banica T., Curran S., Speicher R.
  De Finetti theorems for easy quantum groups
  Ann. Prob., to appear
• Curran S., Speicher R.
  Quantum invariant families of matrices in free probability
  J. Funct. Anal. 261 (2011), 897-933
• Curran S., Speicher R.
  Asymptotic infinitesimal freeness with amalgamation for Haar quantum unitary random matrices
  Commun. Math. Phys. 301 (2011), 627-659
• Belinschi S., Bozejko M., Lehner F., Speicher R.
  The normal distribution is $\boxplus$-infinitely divisible
  Adv. Math. 226 (2011), 3677-3698
• Banica T., Curran S., Speicher R.
  Stochastic aspects of easy quantum groups
  Prob. Th. Related Fields 149 (2011), 435-462
• Speicher R.
  Free Probability Theory
  Handbook on Random Matrix Theory, Oxford University Press, 2011
• Banica T., Curran S., Speicher R.
  Classification results for easy quantum groups
  Pac. J. Math. 247 (2010), 1-26
• Armstrong C., Mingo J., Speicher R., Wilson J.
  The non-commutative cycle lemma
  J. Comb. Th. A 117 (2010), 1158-1166
• Haagerup U., Kemp T., Speicher R.
  Resolvents of R-diagonal operators
  Trans. Amer. Math. Soc. 362 (2010), 6029-6064
• Banica, T., Speicher, R.
  Liberation of orthogonal Lie groups
  Adv. Math. 222 (2009), 1461-1501
• Koestler, C., Speicher, R.
  A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
  Commun. Math. Phys. 291 (2009), 473-490
• Mingo, J., Speicher, R., Tan, E.
  Second order cumulants of products
  Trans. Amer. Math. Soc. 361 (2009), 4751-4781
• Raj Rao, N., Mingo, J., Speicher, R., Edelman, A.
  Statistical eigen-inference from large Wishart matrices
  Ann. Statist. 36 (2008), no. 6, 2850-2885
• Rashidi Far, R., Oraby, T., Bryc, W., Speicher, R.
  On slow-fading MIMO systems with nonseparable correlation
  IEEE Transactions on Information Theory, Vol. 54 (2008), 544-553
• Kemp, T., Speicher, R.
  Strong Haagerup inequalities for free R-diagonal elements
  J. Funct. Anal. 251 (2007), 141-173
• Helton, W., Rashidi Far, R., Speicher, R.
  Operator-valued semicircular elements: Solving a quadratic matrix equation with positivity constraints
  IMRN (2007) Vol. 2007
• Koestler, C., Speicher, R.
  On the structure of non-commutative white noises
  Trans. Amer. Math. Soc. 359 (2007), 4325-4338
• Rao, N.R., Speicher, R.
  Multiplication of free random variables and the S-transform: the case of vanishing mean
  Elect. Comm. in Probab. 12 (2007), 248-258
• Collins, B., Mingo, J., Sniady, P., Speicher, R.
  Second order freeness and fluctuations of random matrices: III. Higher order freeness and free cumulants
  Documenta Math. 12 (2007), 1-70
• Mingo, J., Sniady, P., Speicher, R.
  Second order freeness and fluctuations of random matrices: II. Unitary random matrices
  Adv. Math. 209 (2007), 212-240
• Mingo, J., Speicher, R.
  Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces
  J. Funct. Anal. 235 (2006), 226-270
• Kusalik, T., Mingo, J., Speicher, R.
  Orthogonal polynomials and fluctuations of random matrices
  Crelles J. reine angew. Math. 604 (2007), 1-46
• Nica, A., Shlyakhtenko, D., Speicher, R.
  Operator-valued distributions. I. Characterizations of freeness
  IMRN 29 (2002),1509-1538
• Nica, A., Shlyakhtenko, D., Speicher, R.
  R-cyclic families of matrices in free probability
  ps-file, dvi-file
  J. Funct. Anal. 188 (2002), 227-271
• Sniady, P., Speicher, R.
  Continuous family of invariant subspaces of R-diagonal operators
  ps-file, dvi-file
  Invent. Math. 146 (2001), 329-363
• Biane, P., Speicher, R.
  Free diffusions, free entropy and free Fisher information
  ps-file, dvi-file
  Annales de l'IHP 37 (2001), 581-606
• Nica, A., Shlyakhtenko, D., Speicher, R.
  R-diagonal elements and freeness with amalgamation
  ps-file, dvi-file
  Canad. J. Math. 53 (2001), 355-381
• R. Speicher
  A conceptual proof of a basic result in the combinatorial approach to freeness
  ps-filedvi-file
  Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 (2000), 213-222
• B. Krawczyk and R. Speicher
  Combinatorics of free cumulants
  ps-file, dvi-file
  J. Comb. Th., Ser. A 90 (2000), 267-292
• R. Speicher and P. Neu
  Physical applications of freeness
  ps-file
  XIIth International Congress of Mathematical Physics (ICMP '97) (eds.: De Wit et al., International Press, 1999), 261-266
• A. Nica, D. Shlyakhtenko, and R. Speicher
  Maximality of the microstates free entropy for R-diagonal elements
  ps-file, dvi-file
  Pac. J. Math. 187 (1999), 333-347
• A. Nica, D. Shlyakhtenko, and R. Speicher
  Some minimization problems for the free analogue of the Fisher information
  ps-file, dvi-file
  Advances in Mathematics 141 (1999), 282-321
• P. Biane and R. Speicher
  Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
  ps-file
  Probab. Theory Relat. Fields 112 (1998), 373-409
• A. Nica and R. Speicher
  Commutators of free random variables
  ps-file
  Duke Math. J. 92 (1998), 553-592
• R. Speicher
  Combinatorial theory of the free product with amalgamation and operator-valued free probability theory (Habilitationsschrift)
  (ps-files: table of contents, introduction, chapter 1, chapter 2, chapter 3, chapter 4, chapter 5, references)
  Memoir of the AMS 627 (1998)
• R. Speicher
  Free probability theory and non-crossing partitions
  Seminaire Lotharingien de Combinatoire B39c (1997)
• Bozejko M., Kümmerer B., Speicher R.
  q-Gaussian processes: non-commutative and classical aspects
  ps-file
  Comm. Math. Phys. 185 (1997), 129-154
• Speicher R., Woroudi R.
  Boolean convolution (ps-file)
  Fields Institute Communications, Vol. 12 (D. Voiculescu, ed.), AMS, 1997, pp. 267-279
• Speicher R.
  On universal products (ps-file)
  Fields Institute Communications, Vol. 12 (D. Voiculescu, ed.), AMS, 1997, pp. 257-266
• Nica A., Speicher R.
  R-diagonal pairs - a common approach to Haar unitaries and circular elements (ps-file)
  Fields Institute Communications, Vol. 12 (D. Voiculescu, ed.), AMS, 1997, pp 149-188
• Nica A., Speicher R.
  A "Fourier Transform" for Multiplicative Functions on Non-Crossing Partitions (ps-file)
  Journal of Algebraic Combinatorics 6 (1997), 141-160
• Nica A., Speicher R.
  On the multiplication of free $n$-tuples of non-commutative random variables (with an Appendix by D. Voiculescu).
  Amer. J. Math. 118 (1996), 799-837
  (ps-files: paper, appendix)
• Bozejko M., Leinert M., Speicher R.
  Convolution and limit theorems for conditionally free random variables ( ps-file)
  Pac. J. Math. 175 (1996), 357-388
• Bozejko M., Speicher R.
  Interpolations between bosonic and fermionic relations given by generalized Brownian motions.
  Math. Z. 222 (1996), 135-160
• Neu P., Speicher R.
  Random matrix theory for CPA: Generalization of Wegner's $n$-orbital model.
  J. Phys. A 28 (1995), L79-L83
• Neu P., Speicher R.
  Rigorous mean-field theory for Coherent-Potential Approximation: Anderson model with free random variables.
  J. Stat. Phys. 80 (1995), 1279-1308
• Speicher R.
  Multiplicative functions on the lattice of non-crossing partitions and free convolution.
  Math. Ann. 298 (1994), 611-628
• Bozejko M., Speicher R.
  Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces.
  Math. Ann. 300 (1994), 97-120
• Neu P., Speicher R.
  Spectra of Hamiltonians with generalized single-site dynamical disorder.
  Z. Phys. B 95 (1994), 101-111
• Neu P., Speicher R.:
  A self-consistent master equation and a new kind of cumulants.
  Z. Phys. B 92 (1993), 399-407
• Speicher R.
  Generalized Statistics of Macroscopic Fields.
  Lett. Math. Phys. 27 (1993), 97-104
• Speicher R.
  Free convolution and the random sum of matrices.
  Publ. RIMS 29 (1993), 731-744
• Kuemmerer B., Speicher R.
  Stochastic Integration on the Cuntz Algebra $O_\infty$.
  J. Funct. Anal. 103 (1992), 372-408
• Speicher R.
  A non-commutative central limit theorem.
  Math. Z. 209 (1992), 55-66
• Bozejko M., Speicher R.
  An Example of a Generalized Brownian Motion.
  Comm. Math. Phys. 137 (1991), 519-531
• Speicher R.
  Stochastic Integration on the Full Fock Space with the Help of a Kernel Calculus.
  Publ. RIMS 27 (1991), 149-184
• Speicher R.
  A New Example of Independence and White Noise.
  Prob. Th. Rel. Fields 84 (1990), 141-159
• Hescheler J., Speicher R.
  Regular and chaotic behaviour of cardiac cells stimulated at frequencies between 2 and 20 Hz.
  Eur. Biophys. J. 17 (1989), 273-280

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)
  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)

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
  watch online
• 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)
  pdf-file
• Introduction to Free Probability Theory: Combinatorics, Random Matrices, and Quantum Groups
  (talk at workshop Quantum Groups and Quantum Information Theory, Herstmonceux, UK, July 2015)
  pdf-file
• Free Probability and Non-Commutative Symmetries
  (talk at graduate summer/winter schools in Metabief, France, December 2014 and Bedlewo, Poland, July 2015)
  pdf-file
• On Atoms and Zero Divisors (Polynomial and Rational)
  (talk at COSy 2015, in honour of George Elliott's 70th birthday, Waterloo, Canada, June 2015)
  pdf-file
• Operator-Valued Free Probability and Block Random Matrices
  (survey talks at Seminar on Free Probability and Random Matrices, CIMAT, Guanajuato, Mexico, April 2015)
  pdf-file
• On Deterministic Equivalents from a Free Probabilistic Perspective
  (talk at workshop Applications of RMT and Statistical Physics in Communications and Networks, November 2014)
  pdf-file
• 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
  watch online
• Quantum groups made easy
  (colloquium talk 2010-2013 at various places)
  pdf-file
• 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)
  pdf-file
• 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)
  pdf-file
• Invariance under Quantum Permutations and Free Probability
  (talk at the Global KMS International Conference, Jeju, Korea, Oct. 2008)
  pdf-file
• 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