2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.OA2024
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…
math.OA2014★ 2 cited
Absence of algebraic relations and of zero divisors under the assumption of finite non-microstates free Fisher information
Tobias Mai, Roland Speicher, Moritz Weber
We show that in a tracial and finitely generated -probability space existence of conjugate variables in an appropriate sense exclude algebraic relations for the generators.…
math.OA2012★ 2 cited
Operator-valued and multivariate free Berry-Esseen theorems
Tobias Mai, Roland Speicher
We address the question of a Berry-Esseen type theorem for the speed of convergence in a multivariate free central limit theorem. For this, we estimate the difference between the o…