Prof. Dr. Roland Speicher

Published articles

  1. 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

  2. Speicher R.
    A New Example of Independence and White Noise.
    Prob. Th. Rel. Fields 84 (1990), 141-159

  3. Speicher R.
    Stochastic Integration on the Full Fock Space with the Help of a Kernel Calculus.
    Publ. RIMS 27 (1991), 149-184

  4. Bozejko M., Speicher R.
    An Example of a Generalized Brownian Motion.
    Comm. Math. Phys. 137 (1991), 519-531

  5. Speicher R.
    A non-commutative central limit theorem.
    Math. Z. 209 (1992), 55-66

  6. Kuemmerer B., Speicher R.
    Stochastic Integration on the Cuntz Algebra $O_\infty$.
    J. Funct. Anal. 103 (1992), 372-408

  7. Speicher R.
    Free convolution and the random sum of matrices.
    Publ. RIMS 29 (1993), 731-744

  8. Speicher R.
    Generalized Statistics of Macroscopic Fields.
    Lett. Math. Phys. 27 (1993), 97-104

  9. Neu P., Speicher R.:
    A self-consistent master equation and a new kind of cumulants.
    Z. Phys. B 92 (1993), 399-407

  10. Neu P., Speicher R.
    Spectra of Hamiltonians with generalized single-site dynamical disorder.
    Z. Phys. B 95 (1994), 101-111

  11. Bozejko M., Speicher R.
    Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces.
    Math. Ann. 300 (1994), 97-120

  12. Speicher R.
    Multiplicative functions on the lattice of non-crossing partitions and free convolution.
    Math. Ann. 298 (1994), 611-628

  13. 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

  14. Neu P., Speicher R.
    Random matrix theory for CPA: Generalization of Wegner's $n$-orbital model.
    J. Phys. A 28 (1995), L79-L83

  15. Bozejko M., Speicher R.
    Interpolations between bosonic and fermionic relations given by generalized Brownian motions.
    Math. Z. 222 (1996), 135-160

  16. Bozejko M., Leinert M., Speicher R.
    Convolution and limit theorems for conditionally free random variables ( ps-file)
    Pac. J. Math. 175 (1996), 357-388

  17. 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)

  18. Nica A., Speicher R.
    A "Fourier Transform" for Multiplicative Functions on Non-Crossing Partitions ( ps-file)
    Journal of Algebraic Combinatorics 6 (1997), 141-160

  19. 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

  20. Speicher R.
    On universal products ( ps-file)
    Fields Institute Communications, Vol. 12 (D. Voiculescu, ed.), AMS, 1997, pp. 257-266

  21. Speicher R., Woroudi R.
    Boolean convolution ( ps-file)
    Fields Institute Communications, Vol. 12 (D. Voiculescu, ed.), AMS, 1997, pp. 267-279

  22. Bozejko M., Kümmerer B., Speicher R.
    q-Gaussian processes: non-commutative and classical aspects
    ps-file
    Comm. Math. Phys. 185 (1997), 129-154

  23. R. Speicher
    Free probability theory and non-crossing partitions
    Seminaire Lotharingien de Combinatoire B39c (1997)

  24. 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)

  25. A. Nica and R. Speicher
    Commutators of free random variables
    ps-file
    Duke Math. J. 92 (1998), 553-592

  26. 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

  27. 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

  28. 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

  29. 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

  30. B. Krawczyk and R. Speicher
    Combinatorics of free cumulants
    ps-file, dvi-file
    J. Comb. Th., Ser. A 90 (2000), 267-292

  31. 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

  32. A. Nica, D. Shlyakhtenko, and R. Speicher
    R-diagonal elements and freeness with amalgamation
    ps-file, dvi-file
    Canad. J. Math. 53 (2001), 355-381

  33. P. Biane and R. Speicher
    Free diffusions, free entropy and free Fisher information
    ps-file dvi-file
    Annales de l'IHP 37 (2001), 581-606.

  34. P. Sniady and R. Speicher
    Continuous family of invariant subspaces of R-diagonal operators
    ps-file dvi-file
    Invent. Math. 146 (2001), 329-363.

  35. A. Nica, D. Shlyakhtenko, and R. Speicher
    R-cyclic families of matrices in free probability
    ps-file dvi-file
    J. Funct. Anal. 188 (2002), 227-271.

  36. A. Nica, D. Shlyakhtenko, and R. Speicher
    Operator-valued distributions. I. Characterizations of freeness
    IMRN 29 (2002),1509-1538

  37. T. Kusalik, J. Mingo, and R. Speicher
    Orthogonal polynomials and fluctuations of random matrices
    Crelles J. reine angew. Math. 604 (2007), 1-46

  38. J. Mingo and R. Speicher
    Second order freeness and fluctuations of random matrices: I. Gaussian and Wishart matrices and cyclic Fock spaces
    J. Funct. Anal. 235 (2006), 226-270

  39. J. Mingo, P. Sniady, and R. Speicher
    Second order freeness and fluctuations of random matrices: II. Unitary random matrices
    Adv. Math. 209 (2007), 212-240

  40. B. Collins, J. Mingo, P. Sniady, R. Speicher
    Second order freeness and fluctuations of random matrices: III. Higher order freeness and free cumulants
    Documenta Math. 12 (2007), 1-70

  41. N.R. Rao, R. Speicher
    Multiplication of free random variables and the S-transform: the case of vanishing mean
    Elect. Comm. in Probab. 12 (2007), 248-258

  42. C. Koestler, R. Speicher
    On the structure of non-commutative white noises
    Trans. Amer. Math. Soc. 359 (2007), 4325-4338

  43. W. Helton, R. Rashidi Far, R. Speicher
    Operator-valued semicircular elements: Solving a quadratic matrix equation with positivity constraints
    IMRN (2007) Vol. 2007

  44. T. Kemp, R. Speicher
    Strong Haagerup inequalities for free R-diagonal elements
    J. Funct. Anal. 251 (2007), 141-173

  45. R. Rashidi Far, T. Oraby, W. Bryc, R. Speicher
    On slow-fading MIMO systems with nonseparable correlation
    IEEE Transactions on Information Theory, Vol. 54 (2008), 544-553

  46. N. Raj Rao, J. Mingo, R. Speicher, A. Edelman
    Statistical eigen-inference from large Wishart matrices
    Ann. Statist. 36 (2008), no. 6, 2850-2885

  47. J. Mingo, R. Speicher, E. Tan
    Second order cumulants of products
    Trans. Amer. Math. Soc. 361 (2009), 4751-4781

  48. C. Koestler, R. Speicher
    A noncommutative de Finetti theorem: invariance under quantum permutations is equivalent to freeness with amalgamation
    Commun. Math. Phys. 291 (2009), 473-490

  49. T. Banica, R. Speicher
    Liberation of orthogonal Lie groups
    Adv. Math. 222 (2009), 1461-1501


Survey articles

Slides of talks

Preprints

updated: 13 September 2013   Tobias Mai Impressum