Prof. Dr. Roland Speicher

published articles

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-file dvi-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

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