Publications (56)
Strong Haagerup inequalities for free R-diagonal elements
Todd Kemp, Roland Speicher
Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
Serban Belinschi, Tobias Mai, Roland Speicher
The Non-Commutative Cycle Lemma
Craig Armstrong, James A. Mingo, Roland Speicher +1
$R$-diagonal pairs - a common approach to Haar unitaries and circular elements
Alexandru Nica, Roland Speicher
Commutators of free random variables
Alexandru Nica, Roland Speicher
Completely Positive Maps on Coxeter Groups, Deformed Commutation Relations, and Operator Spaces
Marek Bozejko, Roland Speicher
Wigner chaos and the fourth moment
Todd Kemp, Ivan Nourdin, Giovanni Peccati +1
$q$-Gaussian processes: non-commutative and classical aspects
Marek Bozejko, Burkhard Kummerer, Roland Speicher
On the structure of non-commutative white noises
Claus Köstler, Roland Speicher
Liberation of orthogonal Lie groups
Teodor Banica, Roland Speicher
Orthogonal Polynomials and Fluctuations of Random Matrices
Timothy Kusalik, James A. Mingo, Roland Speicher
Combinatorics of free cumulants
Bernadette Krawczyk, Roland Speicher
Multidimensional semicircular limits on the free Wigner chaos
Ivan Nourdin, Giovanni Peccati, Roland Speicher
Random matrix theory for CPA: Generalization of Wegner's $n$--orbital model
Peter Neu, Roland Speicher
Mixtures of classical and free independence
Roland Speicher, Janusz Wysoczanski
Operator-valued free multiplicative convolution: analytic subordination theory and applications to random matrix theory
Serban T. Belinschi, Roland Speicher, John Treilhard +1
Asymptotic infinitesimal freeness with amalgamation for Haar quantum unitary random matrices
Stephen Curran, Roland Speicher
Multiplication of free random variables and the S-transform: the case of vanishing mean
N. Raj Rao, Roland Speicher
Applications of Realizations (aka Linearizations) to Free Probability
J. William Helton, Tobias Mai, Roland Speicher
Outage Capacity of Rayleigh Product Channels: a Free Probability Approach
Zhong Zheng, Lu Wei, Roland Speicher +3
Quantum invariant families of matrices in free probability
Stephen Curran, Roland Speicher
Statistical eigen-inference from large Wishart matrices
N. Raj Rao, James A. Mingo, Roland Speicher +1
Absence of algebraic relations and of zero divisors under the assumption of finite non-microstates free Fisher information
Tobias Mai, Roland Speicher, Moritz Weber
Second Order Cumulants of products
James A. Mingo, Roland Speicher, Edward Tan
Free Calculus
Roland Speicher
R-cyclic families of matrices in free probability
Alexandru Nica, Dimitri Shlyakhtenko, Roland Speicher
Second Order Freeness and Fluctuations of Random Matrices: I. Gaussian and Wishart matrices and Cyclic Fock spaces
James A. Mingo, Roland Speicher
Free Probability Theory
Roland Speicher
Interpolations between Bosonic and Fermionic Relations given by Generalized Brownian Motions (revised version)
Marek Bozejko, Roland Speicher
Operator-valued distributions: I. Characterizations of freeness
Alexandru Nica, Dimitri Shlyakhtenko, Roland Speicher
Convolution and Limit Theorems for Conditionally Free Random Variables
Marek Bozejko, Michael Leinert, Roland Speicher
Second Order Freeness and Fluctuations of Random Matrices, III. Higher order freeness and free cumulants
Benoit Collins, James A. Mingo, Piotr Sniady +1
De Finetti theorems for easy quantum groups
Teodor Banica, Stephen Curran, Roland Speicher
Operator-valued semicircular elements: Solving a quadratic matrix equation with positivity constraints
J. William Helton, Reza Rashidi Far, Roland Speicher
Sharp Bounds for Sums Associated to Graphs of Matrices
James A. Mingo, Roland Speicher
Spectra of large block matrices
Reza Rashidi Far, Tamer Oraby, Wlodzimierz Bryc +1
Quantum groups with partial commutation relations
Roland Speicher, Moritz Weber
Polynomials in Asymptotically Free Random Matrices
Roland Speicher
Schwinger-Dyson equations: classical and quantum
James A. Mingo, Roland Speicher
Resolvents of R-Diagonal Operators
Uffe Haagerup, Todd Kemp, Roland Speicher
Continuous Family of Invariant Subspaces for R-diagonal Operators
Piotr Sniady, Roland Speicher
Rigorous mean field model for CPA: Anderson model with free random variables
Peter Neu, Roland Speicher
On the rate of convergence and Berry-Esseen type theorems for a multivariate free central limit theorem
Roland Speicher
A noncommutative de Finetti theorem: Invariance under quantum permutations is equivalent to freeness with amalgamation
Claus Köstler, Roland Speicher
Free Deterministic Equivalents, Rectangular Random Matrix Models, and Operator-Valued Free Probability Theory
Roland Speicher, Carlos Vargas, Tobias Mai
Free probability and random matrices
Roland Speicher
Operator-valued and multivariate free Berry-Esseen theorems
Tobias Mai, Roland Speicher
On the multiplication of free $n$-tuples of non-commutative random variables
Alexandru Nica, Roland Speicher
Stochastic aspects of easy quantum groups
Teodor Banica, Stephen Curran, Roland Speicher
A Characterization of Freeness by a Factorization Property of R-transform
Alexandru Nica, Dimitri Shlyakhtenko, Roland Speicher
The normal distribution is $\boxplus$-infinitely divisible
Serban T. Belinschi, Marek Bozejko, Franz Lehner +1
Second Order Freeness and Fluctuations of Random Matrices: II. Unitary Random Matrices
James A. Mingo, Piotr Sniady, Roland Speicher
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension
Tobias Mai, Roland Speicher, Moritz Weber
Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem
Serban Belinschi, Maciej A. Nowak, Roland Speicher +1
Spectra of Hamiltonians with Generalized Single-Site Dynamical Disorder
Peter Neu, Roland Speicher
On slow-fading non-separable correlation MIMO systems
Reza Rashidi Far, Tamer Oraby, Wlodzimierz Bryc +1