Belinschi, Serban; Yin, Zhi; Zhong, Ping The Brown measure of a sum of two free random variables, one of which is triangular elliptic. (English) Zbl 07823132 Adv. Math. 441, Article ID 109562, 62 p. (2024). MSC: 46L54 60B12 PDFBibTeX XMLCite \textit{S. Belinschi} et al., Adv. Math. 441, Article ID 109562, 62 p. (2024; Zbl 07823132) Full Text: DOI arXiv
Belinschi, Serban T.; Bercovici, Hari; Ho, Ching-Wei Regularity for free multiplicative convolution on the unit circle. (English) Zbl 1526.46042 Pac. J. Math. 322, No. 2, 243-250 (2023). MSC: 46L54 30D05 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., Pac. J. Math. 322, No. 2, 243--250 (2023; Zbl 1526.46042) Full Text: DOI arXiv
Bercovici, Hari; Belinschi, Serban T. Upgrading subordination properties in free probability theory. arXiv:2209.12710 Preprint, arXiv:2209.12710 [math.OA] (2022). MSC: 46L35 BibTeX Cite \textit{H. Bercovici} and \textit{S. T. Belinschi}, ``Upgrading subordination properties in free probability theory'', Preprint, arXiv:2209.12710 [math.OA] (2022) Full Text: arXiv OA License
Belinschi, Serban; Bercovici, Hari; Ho, Ching Wei On the convergence of Denjoy-Wolff points. arXiv:2203.16728 Preprint, arXiv:2203.16728 [math.DS] (2022). MSC: 30D05 46L54 BibTeX Cite \textit{S. Belinschi} et al., ``On the convergence of Denjoy-Wolff points'', Preprint, arXiv:2203.16728 [math.DS] (2022) Full Text: arXiv OA License
Belinschi, Şerban T.; Bercovici, Hari; Liu, Weihua The atoms of operator-valued free convolutions. (English) Zbl 1524.46091 J. Oper. Theory 85, No. 1, 303-320 (2021). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 46L54 47A56 PDFBibTeX XMLCite \textit{Ş. T. Belinschi} et al., J. Oper. Theory 85, No. 1, 303--320 (2021; Zbl 1524.46091) Full Text: DOI
Belinschi, Serban; Bordenave, Charles; Capitaine, Mireille; Cébron, Guillaume Outlier eigenvalues for non-Hermitian polynomials in independent i.i.d. matrices and deterministic matrices. (English) Zbl 1470.15030 Electron. J. Probab. 26, Paper No. 100, 37 p. (2021). MSC: 15B52 46L54 60B20 15A18 60F05 PDFBibTeX XMLCite \textit{S. Belinschi} et al., Electron. J. Probab. 26, Paper No. 100, 37 p. (2021; Zbl 1470.15030) Full Text: DOI arXiv
Diaz, Mario; Mingo, James A.; Belinschi, Serban T. On the global fluctuations of block Gaussian matrices. (English) Zbl 1434.60022 Probab. Theory Relat. Fields 176, No. 1-2, 599-648 (2020). MSC: 60B20 46L54 PDFBibTeX XMLCite \textit{M. Diaz} et al., Probab. Theory Relat. Fields 176, No. 1--2, 599--648 (2020; Zbl 1434.60022) Full Text: DOI arXiv
Belinschi, Serban Teodor Some geometric properties of the subordination function associated to an operator-valued free convolution semigroup. (English) Zbl 1419.46040 Complex Anal. Oper. Theory 13, No. 1, 61-84 (2019). MSC: 46L54 46E50 32H50 PDFBibTeX XMLCite \textit{S. T. Belinschi}, Complex Anal. Oper. Theory 13, No. 1, 61--84 (2019; Zbl 1419.46040) Full Text: DOI arXiv
Belinschi, S. T.; Bercovici, H.; Gu, Y.; Skoufranis, P. Analytic subordination for bi-free convolution. (English) Zbl 1400.46051 J. Funct. Anal. 275, No. 4, 926-966 (2018). MSC: 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., J. Funct. Anal. 275, No. 4, 926--966 (2018; Zbl 1400.46051) Full Text: DOI arXiv
Belinschi, Serban T.; Bercovici, Hari; Capitaine, Mireille; Février, Maxime Outliers in the spectrum of large deformed unitarily invariant models. (English) Zbl 1412.60014 Ann. Probab. 45, No. 6A, 3571-3625 (2017). MSC: 60B20 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., Ann. Probab. 45, No. 6A, 3571--3625 (2017; Zbl 1412.60014) Full Text: DOI arXiv Euclid
Belinschi, Serban T.; Mai, Tobias; Speicher, Roland Analytic subordination theory of operator-valued free additive convolution and the solution of a general random matrix problem. (English) Zbl 1456.60013 J. Reine Angew. Math. 732, 21-53 (2017). MSC: 60B20 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., J. Reine Angew. Math. 732, 21--53 (2017; Zbl 1456.60013) Full Text: DOI arXiv
Belinschi, S. T.; Capitaine, M. Spectral properties of polynomials in independent Wigner and deterministic matrices. (English) Zbl 1407.46055 J. Funct. Anal. 273, No. 12, 3901-3963 (2017). MSC: 46L54 60B20 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{M. Capitaine}, J. Funct. Anal. 273, No. 12, 3901--3963 (2017; Zbl 1407.46055) Full Text: DOI arXiv
Belinschi, Serban Teodor A noncommutative version of the Julia-Wolff-Carathéodory theorem. (English) Zbl 1383.46046 J. Lond. Math. Soc., II. Ser. 95, No. 2, 541-566 (2017). MSC: 46L52 47L25 46L07 46G20 46E50 47A56 32A40 PDFBibTeX XMLCite \textit{S. T. Belinschi}, J. Lond. Math. Soc., II. Ser. 95, No. 2, 541--566 (2017; Zbl 1383.46046) Full Text: DOI arXiv
Belinschi, Serban T.; Speicher, Roland; Treilhard, John; Vargas, Carlos Operator-valued free multiplicative convolution: analytic subordination theory and applications to random matrix theory. (English) Zbl 1341.46037 Int. Math. Res. Not. 2015, No. 14, 5933-5958 (2015). MSC: 46L54 60B20 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., Int. Math. Res. Not. 2015, No. 14, 5933--5958 (2015; Zbl 1341.46037) Full Text: DOI arXiv
Belinschi, Serban Teodor \(L^\infty\)-boundedness of density for free additive convolutions. (English) Zbl 1389.46082 Rev. Roum. Math. Pures Appl. 59, No. 2, 173-184 (2014). MSC: 46L54 30E20 PDFBibTeX XMLCite \textit{S. T. Belinschi}, Rev. Roum. Math. Pures Appl. 59, No. 2, 173--184 (2014; Zbl 1389.46082)
Belinschi, S. T.; Popa, M.; Vinnikov, V. On the operator-valued analogues of the semicircle, arcsine and Bernoulli laws. (English) Zbl 1289.46092 J. Oper. Theory 70, No. 1, 239-258 (2013). Reviewer: Victor Sharapov (Volgograd) MSC: 46L53 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., J. Oper. Theory 70, No. 1, 239--258 (2013; Zbl 1289.46092) Full Text: DOI arXiv
Arizmendi, Octavio; Belinschi, Serban T. Free infinite divisibility for ultrasphericals. (English) Zbl 1281.46055 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 1, Article ID 1350001, 11 p. (2013). MSC: 46L54 60E07 PDFBibTeX XMLCite \textit{O. Arizmendi} and \textit{S. T. Belinschi}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 1, Article ID 1350001, 11 p. (2013; Zbl 1281.46055) Full Text: DOI arXiv
Anshelevich, Michael; Belinschi, Serban T.; Fevrier, Maxime; Nica, Alexandru Convolution powers in the operator-valued framework. (English) Zbl 1277.46031 Trans. Am. Math. Soc. 365, No. 4, 2063-2097 (2013). MSC: 46L54 46L57 PDFBibTeX XMLCite \textit{M. Anshelevich} et al., Trans. Am. Math. Soc. 365, No. 4, 2063--2097 (2013; Zbl 1277.46031) Full Text: DOI arXiv
Belinschi, Serban; Collins, Benoît; Nechita, Ion Eigenvectors and eigenvalues in a random subspace of a tensor product. (English) Zbl 1276.15007 Invent. Math. 190, No. 3, 647-697 (2012). Reviewer: Tin Yau Tam (Auburn) MSC: 15A18 15A69 15B52 52A22 46L54 PDFBibTeX XMLCite \textit{S. Belinschi} et al., Invent. Math. 190, No. 3, 647--697 (2012; Zbl 1276.15007) Full Text: DOI arXiv
Belinschi, S. T.; Shlyakhtenko, D. Free probability of type \(B\): analytic interpretation and applications. (English) Zbl 1253.46070 Am. J. Math. 134, No. 1, 193-234 (2012). Reviewer: Stephen Curran (Los Angeles) MSC: 46L54 46L53 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{D. Shlyakhtenko}, Am. J. Math. 134, No. 1, 193--234 (2012; Zbl 1253.46070) Full Text: DOI arXiv
Belinschi, S. T.; Popa, M.; Vinnikov, V. Infinite divisibility and a non-commutative Boolean-to-free Bercovici-Pata bijection. (English) Zbl 1247.46054 J. Funct. Anal. 262, No. 1, 94-123 (2012). Reviewer: Stephen Curran (Los Angeles) MSC: 46L54 46L53 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., J. Funct. Anal. 262, No. 1, 94--123 (2012; Zbl 1247.46054) Full Text: DOI arXiv
Belinschi, Serban Teodor; Bercovici, Hari; Capitaine, Mireille; Février, Maxime Outliers in the spectrum of large deformed unitarily invariant models. arXiv:1207.5443 Preprint, arXiv:1207.5443 [math.PR] (2012). MSC: 60B20 15B52 46L54 BibTeX Cite \textit{S. T. Belinschi} et al., ``Outliers in the spectrum of large deformed unitarily invariant models'', Preprint, arXiv:1207.5443 [math.PR] (2012) Full Text: arXiv OA License
Belinschi, Serban T.; Bożejko, Marek; Lehner, Franz; Speicher, Roland The normal distribution is \(\boxplus\)-infinitely divisible. (English) Zbl 1226.46059 Adv. Math. 226, No. 4, 3677-3698 (2011). Reviewer: Stephen Curran (Los Angeles) MSC: 46L54 05C30 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., Adv. Math. 226, No. 4, 3677--3698 (2011; Zbl 1226.46059) Full Text: DOI arXiv
Banica, T.; Belinschi, S. T.; Capitaine, M.; Collins, B. Free Bessel laws. (English) Zbl 1218.46040 Can. J. Math. 63, No. 1, 3-37 (2011). MSC: 46L54 60B20 16S40 57T05 16T05 PDFBibTeX XMLCite \textit{T. Banica} et al., Can. J. Math. 63, No. 1, 3--37 (2011; Zbl 1218.46040) Full Text: DOI arXiv
Anshelevich, M.; Belinschi, S. T.; Bożejko, M.; Lehner, F. Free infinite divisibility for \(q\)-Gaussians. (English) Zbl 1226.46057 Math. Res. Lett. 17, No. 5, 905-916 (2010). MSC: 46L54 PDFBibTeX XMLCite \textit{M. Anshelevich} et al., Math. Res. Lett. 17, No. 5, 905--916 (2010; Zbl 1226.46057) Full Text: DOI arXiv
Belinschi, Serban T.; Benaych-Georges, Florent; Guionnet, Alice Regularization by free additive convolution, square and rectangular cases. (English) Zbl 1187.46055 Complex Anal. Oper. Theory 3, No. 3, 611-660 (2009). MSC: 46L54 60E10 30A99 15B52 60B20 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., Complex Anal. Oper. Theory 3, No. 3, 611--660 (2009; Zbl 1187.46055) Full Text: DOI arXiv
Belinschi, Serban T.; Nica, Alexandru Free Brownian motion and evolution towards \(\boxplus\)-infinite divisibility for \(k\)-tuples. (English) Zbl 1173.46306 Int. J. Math. 20, No. 3, 309-338 (2009). MSC: 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{A. Nica}, Int. J. Math. 20, No. 3, 309--338 (2009; Zbl 1173.46306) Full Text: DOI arXiv
Belinschi, Serban Teodor C-free convolution for measures with unbounded support. (English) Zbl 1199.46145 Dykema, Ken (ed.) et al., Von Neumann algebras in Sibiu. Proceedings of the conference, Sibiu, Romania, June 9–16, 2007. Bucharest: Theta (ISBN 978-973-87899-4-4). Theta Series in Advanced Mathematics 10, 1-7 (2008). MSC: 46L53 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi}, Theta Ser. Adv. Math. 10, 1--7 (2008; Zbl 1199.46145)
Belinschi, Serban T.; Nica, Alexandru On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution. (English) Zbl 1165.46033 Indiana Univ. Math. J. 57, No. 4, 1679-1713 (2008). MSC: 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{A. Nica}, Indiana Univ. Math. J. 57, No. 4, 1679--1713 (2008; Zbl 1165.46033) Full Text: DOI arXiv
Belinschi, Serban Teodor The Lebesgue decomposition of the free additive convolution of two probability distributions. (English) Zbl 1390.46059 Probab. Theory Relat. Fields 142, No. 1-2, 125-150 (2008). MSC: 46L54 30D40 30E20 PDFBibTeX XMLCite \textit{S. T. Belinschi}, Probab. Theory Relat. Fields 142, No. 1--2, 125--150 (2008; Zbl 1390.46059) Full Text: DOI arXiv
Belinschi, S. T.; Bercovici, H. Hinčin’s theorem for multiplicative free convolution. (English) Zbl 1144.46056 Can. Math. Bull. 51, No. 1, 26-31 (2008). MSC: 46L54 46L53 60E07 60E10 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{H. Bercovici}, Can. Math. Bull. 51, No. 1, 26--31 (2008; Zbl 1144.46056) Full Text: DOI
Belinschi, Serban T.; Nica, Alexandru \(\eta\)-series and a Boolean Bercovici–Pata bijection for bounded \(k\)-tuples. (English) Zbl 1129.46052 Adv. Math. 217, No. 1, 1-41 (2008). MSC: 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{A. Nica}, Adv. Math. 217, No. 1, 1--41 (2008; Zbl 1129.46052) Full Text: DOI arXiv
Belinschi, S. T.; Bercovici, H. A new approach to subordination results in free probability. (English) Zbl 1142.46030 J. Anal. Math. 101, 357-365 (2007). MSC: 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{H. Bercovici}, J. Anal. Math. 101, 357--365 (2007; Zbl 1142.46030) Full Text: DOI
Belinschi, Serban Teodor A note on regularity for free convolutions. (English) Zbl 1107.46043 Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 5, 635-648 (2006). MSC: 46L54 30D40 PDFBibTeX XMLCite \textit{S. T. Belinschi}, Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 5, 635--648 (2006; Zbl 1107.46043) Full Text: DOI Numdam Numdam EuDML
Belinschi, Serban Teodor Complex analysis methods in noncommutative probability. arXiv:math/0602343 Preprint, arXiv:math/0602343 [math.OA] (2006). MSC: 46L54 46L53 BibTeX Cite \textit{S. T. Belinschi}, ``Complex analysis methods in noncommutative probability'', Preprint, arXiv:math/0602343 [math.OA] (2006) Full Text: arXiv
Belinschi, S. T.; Bercovici, H. Partially defined semigroups relative to multiplicative free convolution. (English) Zbl 1092.46046 Int. Math. Res. Not. 2005, No. 2, 65-101 (2005). Reviewer: Debashish Goswami (Kolkata) MSC: 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{H. Bercovici}, Int. Math. Res. Not. 2005, No. 2, 65--101 (2005; Zbl 1092.46046) Full Text: DOI
Belinschi, S. T.; Bercovici, H. Atoms and regularity for measures in a partially defined free convolution semigroup. (English) Zbl 1065.46045 Math. Z. 248, No. 4, 665-674 (2004). MSC: 46L54 30A99 30B40 30E20 31A15 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{H. Bercovici}, Math. Z. 248, No. 4, 665--674 (2004; Zbl 1065.46045) Full Text: DOI
Belinschi, S. T.; Bercovici, H. A property of free entropy. (English) Zbl 1058.46043 Pac. J. Math. 211, No. 1, 35-40 (2003). MSC: 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi} and \textit{H. Bercovici}, Pac. J. Math. 211, No. 1, 35--40 (2003; Zbl 1058.46043) Full Text: DOI
Belinschi, Serban Teodor On an equivalent definition of free entropy. (English) Zbl 1045.46040 Math. Res. Lett. 10, No. 2-3, 185-189 (2003). MSC: 46L54 PDFBibTeX XMLCite \textit{S. T. Belinschi}, Math. Res. Lett. 10, No. 2--3, 185--189 (2003; Zbl 1045.46040) Full Text: DOI
Belinschi, Serban Teodor The atoms of the free multiplicative convolution of two probability distributions. (English) Zbl 1028.46095 Integral Equations Oper. Theory 46, No. 4, 377-386 (2003). MSC: 46L54 60E10 PDFBibTeX XMLCite \textit{S. T. Belinschi}, Integral Equations Oper. Theory 46, No. 4, 377--386 (2003; Zbl 1028.46095) Full Text: DOI