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This paper contributes to the current studies on regularity properties of noncommutative distributions in free probability theory.
A. Guionnet and D. Shlyakhtenko, Free diffusions and matrix models with strictly convex interaction , Geom. Funct. Anal. 18
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A. Connes and D. Shlyakhtenko, L 2 L^{2} -homology for von Neumann algebras , J. Reine Angew. Math. 586
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by same author, A new application of random matrices: Ext ( C red ∗ ( F 2 ) ) \operatorname{Ext}(C_{\text{red}}^{*}(F_{2})) is not a group , Ann. Math. (2) 162
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2015
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T. Mai, Regularity of distributions of Wigner integrals , arXiv:1512.07593 (2015)
2015
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D. Shlyakhtenko and P. Skoufranis, Freely independent random variables with non-atomic distributions , Trans. Am. Math. Soc. 367
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I. Charlesworth and D. Shlyakhtenko, Free entropy dimension and regularity of non-commutative polynomials , J. Funct. Anal. 271
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Y. Dabrowski and A. Ioana, Unbounded derivations, free dilations, and indecomposability results for II 1 factors , Trans. Am. Math. Soc. 368
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A. Guionnet and E. Maurel-Segala, Combinatorial aspects of matrix models , ALEA, Lat. Am. J. Probab. Math. Stat. 1
2006
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A. Guionnet, Random matrices and enumeration of maps , Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures, Zürich: European Mathematical Society (EMS), 2006, pp. 623–636
2006
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U. Haagerup, H. Schultz, and S. Thorbjørnsen, A random matrix approach to the lack of projections in C red ∗ ( 𝔽 2 ) C_{\mathrm{red}}^{\ast}(\mathbb{F}_{2}) , Adv. Math. 204
2006
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by same author, Second order asymptotics for matrix models , Ann. Probab. 35
2007
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Z. D. Bai and J. W. Silverstein, Spectral analysis of large dimensional random matrices , 2nd ed. ed., Dordrecht: Springer, 2010
2010
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Y. Dabrowski, A note about proving non- Γ \Gamma under a finite non-microstates free Fisher information assumption , J. Funct. Anal. 258
2010
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2014
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2016
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S. T. Belinschi, T. Mai, and R. Speicher, Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem , J. Reine Angew. Math. 732
2017
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J. A. Mingo and R. Speicher, Free probability and random matrices , vol. 35, Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer, 2017
2017
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T. Mai, R. Speicher, and M. Weber, Absence of algebraic relations and of zero divisors under the assumption of full non-microstates free entropy dimension , Adv. Math. 304
2017
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O. H. Ajanki, L. Erdös, and T. Krüger, Stability of the Matrix Dyson Equation and Random Matrices with Correlations , Probab. Theory and Relat. Fields (2018)
2018
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2018
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2018
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