main publications of Roland Speicher
- 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
- Speicher R.
A New Example of Independence and White Noise.
Prob. Th. Rel. Fields 84 (1990), 141-159
- Speicher R.
Stochastic Integration on the Full Fock Space with the
Help of a Kernel Calculus.
Publ. RIMS 27 (1991), 149-184
- Bozejko M., Speicher R.
An Example of a Generalized Brownian
Motion.
Comm. Math. Phys. 137 (1991), 519-531
- Speicher R.
A non-commutative central limit theorem.
Math. Z. 209 (1992), 55-66
- Kuemmerer B., Speicher R.
Stochastic Integration on the Cuntz Algebra
$O_\infty$.
J. Funct. Anal. 103 (1992), 372-408
- Speicher R.
Free convolution and the random sum of matrices.
Publ. RIMS 29 (1993), 731-744
- Speicher R.
Generalized Statistics of Macroscopic Fields.
Lett. Math. Phys. 27 (1993), 97-104
- Neu P., Speicher R.:
A self-consistent master equation and a new kind of
cumulants.
Z. Phys. B 92 (1993), 399-407
- Neu P., Speicher R.
Spectra of Hamiltonians with generalized single-site
dynamical disorder.
Z. Phys. B 95 (1994), 101-111
- Bozejko M., Speicher R.
Completely positive maps on Coxeter groups,
deformed commutation relations, and operator spaces.
Math. Ann. 300 (1994), 97-120
- Speicher R.
Multiplicative functions on the lattice of non-crossing
partitions and free convolution.
Math. Ann. 298 (1994), 611-628
- 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
- Neu P., Speicher R.
Random matrix theory for CPA: Generalization
of Wegner's $n$-orbital model.
J. Phys. A 28 (1995), L79-L83
- Bozejko M., Speicher R.
Interpolations between bosonic and
fermionic relations given by generalized Brownian motions.
Math. Z. 222 (1996), 135-160
- Bozejko M., Leinert M., Speicher R.
Convolution and limit theorems for conditionally
free random variables (
ps-file)
Pac. J. Math. 175 (1996), 357-388
- 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)
- 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.
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
- Speicher R.
On universal products (
ps-file)
Fields Institute Communications, Vol. 12 (D. Voiculescu, ed.),
AMS, 1997, pp. 257-266
- Speicher R., Woroudi R.
Boolean convolution (
ps-file)
Fields Institute Communications, Vol. 12 (D. Voiculescu, ed.),
AMS, 1997, pp. 267-279
- Bozejko M., Kümmerer B., Speicher R.
q-Gaussian processes: non-commutative and classical
aspects
ps-file
Comm. Math. Phys. 185 (1997), 129-154
- R. Speicher
Free probability theory and non-crossing partitions
Seminaire Lotharingien de Combinatoire B39c (1997)
- 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)
- A. Nica and R. Speicher
Commutators of free random variables
ps-file
Duke Math. J. 92 (1998), 553-592
- 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, 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
- 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
-
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
-
B. Krawczyk and R. Speicher
Combinatorics of free cumulants
ps-file,
dvi-file
J. Comb. Th., Ser. A 90 (2000), 267-292
- 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
-
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
-
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.
-
P. Sniady and R. Speicher
Continuous family of invariant subspaces of R-diagonal
operators
ps-file
dvi-file
Invent. Math. 146 (2001), 329-363.
-
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.
-
A. Nica, D. Shlyakhtenko, and R. Speicher
Operator-valued distributions. I. Characterizations of freeness
IMRN 29 (2002),1509-1538
-
T. Kusalik, J. Mingo, and R. Speicher
Orthogonal polynomials and fluctuations of random matrices
Crelles J. reine angew. Math. 604 (2007), 1-46
-
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
-
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
-
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
-
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
-
C. Koestler, R. Speicher
On the structure of non-commutative white noises
Trans. Amer. Math. Soc. 359 (2007), 4325-4338
-
W. Helton, R. Rashidi Far, R. Speicher
Operator-valued semicircular elements: Solving a quadratic matrix
equation with positivity constraints
IMRN (2007) Vol. 2007
-
T. Kemp, R. Speicher
Strong Haagerup inequalities for free R-diagonal elements
J. Funct. Anal. 251 (2007), 141-173
-
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
-
N. Raj Rao, J. Mingo, R. Speicher, A. Edelman
Statistical eigen-inference from large Wishart matrices
Ann. Statist. 36
(2008), no. 6, 2850-2885
-
J. Mingo, R. Speicher, E. Tan
Second order cumulants of products
Trans. Amer. Math. Soc. 361
(2009), 4751-4781
-
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
-
T. Banica, R. Speicher
Liberation of orthogonal Lie groups
Adv. Math. 222 (2009), 1461-1501
Roland Speicher.