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Tobias Mai
Tobias Mai
Postdoc, Department of Mathematics, Saarland University
Geverifieerd e-mailadres voor math.uni-sb.de - Homepage
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Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem
ST Belinschi, T Mai, R Speicher
Journal für die reine und angewandte Mathematik (Crelles Journal) 2017 (732 …, 2017
1402017
Applications of realizations (aka linearizations) to free probability
JW Helton, T Mai, R Speicher
Journal of Functional Analysis 274 (1), 1-79, 2018
792018
Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension
T Mai, R Speicher, M Weber
Advances in Mathematics 304, 1080-1107, 2017
282017
Hölder continuity of cumulative distribution functions for noncommutative polynomials under finite free Fisher information
M Banna, T Mai
Journal of Functional Analysis 279 (8), 108710, 2020
182020
The free field: realization via unbounded operators and Atiyah property
T Mai, R Speicher, S Yin
arXiv preprint arXiv:1905.08187, 2019
18*2019
The free field: zero divisors, Atiyah property and realizations via unbounded operators
T Mai, R Speicher, S Yin
arXiv preprint arXiv:1805.04150, 2018
132018
Operator-valued and multivariate free Berry-Esseen theorems
T Mai, R Speicher
Limit Theorems in Probability, Statistics and Number Theory: In Honor of …, 2013
132013
Regularity of distributions of Wigner integrals
T Mai
arXiv preprint arXiv:1512.07593, 2015
102015
Convergence for noncommutative rational functions evaluated in random matrices
B Collins, T Mai, A Miyagawa, F Parraud, S Yin
Mathematische Annalen 388 (1), 543-574, 2024
92024
On the analytic theory of non-commutative distributions in free probability
T Mai
92017
Berry-Esseen bounds for the multivariate ℬ-free CLT and operator-valued matrices
M Banna, T Mai
Transactions of the American Mathematical Society 376 (06), 3761-3818, 2023
82023
Absence of algebraic relations and of zero divisors under the assumption of finite non-microstates free Fisher information
T Mai, R Speicher, M Weber
arXiv preprint arXiv:1407.5715, 2014
72014
A note on existence of free Stein kernels
G Cébron, M Fathi, T Mai
Proceedings of the American Mathematical Society 148 (4), 1583-1594, 2020
62020
A note on the free and cyclic differential calculus
T Mai, R Speicher
arXiv preprint arXiv:1910.07570, 2019
62019
Free probability, random matrices, and representations of non-commutative rational functions
T Mai, R Speicher
Computation and Combinatorics in Dynamics, Stochastics and Control: The Abel …, 2018
62018
Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem, preprint (2013)
S Belinschi, T Mai, R Speicher
arXiv preprint arXiv:1303.3196, 0
4
Computing the noncommutative inner rank by means of operator-valued free probability theory
J Hoffmann, T Mai, R Speicher
arXiv preprint arXiv:2308.03667, 2023
2023
The Dyson equation for -positive maps and H\"older bounds for the L\'evy distance of densities of states
T Mai
arXiv preprint arXiv:2210.04743, 2022
2022
Free and cyclic differential calculus and characterizations of gradients
T Mai, POA Seminar
University of California, Berkeley, 2020
2020
Zur Theorie der Faberpolynome
T Mai
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Artikelen 1–20