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
154 2017 Applications of realizations (aka linearizations) to free probability JW Helton, T Mai, R Speicher
Journal of Functional Analysis 274 (1), 1-79, 2018
92 2018 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
29 2017 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
22 2020 The free field: realization via unbounded operators and Atiyah property T Mai, R Speicher, S Yin
arXiv preprint arXiv:1905.08187, 2019
21 * 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
16 2018 Operator-valued and multivariate free Berry-Esseen theorems T Mai, R Speicher
Limit Theorems in Probability, Statistics and Number Theory: In Honor of …, 2013
13 2013 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
11 2024 On the analytic theory of non-commutative distributions in free probability T Mai
10 2017 Regularity of distributions of Wigner integrals T Mai
arXiv preprint arXiv:1512.07593, 2015
10 2015 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
9 2014 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
8 2023 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
8 2020 A note on the free and cyclic differential calculus T Mai, R Speicher
arXiv preprint arXiv:1910.07570, 2019
7 2019 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
6 2018 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
Foundations of Computational Mathematics, 1-36, 2024
2 2024 The Dyson equation for T Mai
arXiv preprint arXiv:2210.04743, 2022
2 2022 Fuglede-Kadison determinants of matrix-valued semicircular elements and capacity estimates T Mai, R Speicher
arXiv preprint arXiv:2406.15922, 2024
1 2024 The Fuglede-Kadison determinant of matrix-valued semicircular elements and the capacity of completely positive maps T Mai, POA Seminar
University of California, Berkeley, 2024
2024 