215 citations · 1.1k across the 69 of their papers we have counts for
74 papers
Entrywise application of non-linear functions on orthogonally invariant matrices
Roland Speicher, Alexander Wendel
In this article, we investigate how the entrywise application of a non-linear function to symmetric orthogonally invariant random matrix ensembles alters the spectral distribution.…
Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates
Tobias Mai, Roland Speicher
We calculate the Fuglede-Kadison determinant of arbitrary matrix-valued semicircular operators in terms of the capacity of the corresponding covariance mapping. We also improve a l…
Bi-Free Probability Theory and Reflection Positivity
Roland Speicher
We point out that bi-free product constructions respect reflection positivity.
Computing the noncommutative inner rank by means of operator-valued free probability theory
Johannes Hoffmann, Tobias Mai, Roland Speicher
We address the noncommutative version of the Edmonds' problem, which asks to determine the inner rank of a matrix in noncommuting variables. We provide an algorithm for the calcula…
A short proof for the twisted multiplicativity property of the operator-valued S-transform
Roland Speicher
We provide a short proof for the twisted multiplicativity property of the operator-valued S-transform. This is my contribution to the topical collection ''Multivariable Operator Th…
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions
Roland Speicher
This article contains some thoughts on Wilhelm von Waldenfels and on universal second order constructions. It is my contribution to the Special Commemorative Issue of IDAQP in Hono…