Collins, Benoît; Mai, Tobias; Miyagawa, Akihiro; Parraud, Félix; Yin, Sheng Convergence for noncommutative rational functions evaluated in random matrices. (English) Zbl 07796276 Math. Ann. 388, No. 1, 543-574 (2024). MSC: 81-XX 68-XX PDFBibTeX XMLCite \textit{B. Collins} et al., Math. Ann. 388, No. 1, 543--574 (2024; Zbl 07796276) Full Text: DOI arXiv
Collins, Benoît Moment methods on compact groups: Weingarten calculus and its applications. (English) Zbl 07822649 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3142-3164 (2023). MSC: 43A75 44A60 20G42 46L67 PDFBibTeX XMLCite \textit{B. Collins}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 4. Sections 5--8. Berlin: European Mathematical Society (EMS). 3142--3164 (2023; Zbl 07822649) Full Text: DOI arXiv OA License
Guionnet, Alice Rare events in random matrix theory. (English) Zbl 07821732 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1008-1052 (2023). MSC: 60B20 60F10 46L54 PDFBibTeX XMLCite \textit{A. Guionnet}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 1008--1052 (2023; Zbl 07821732) Full Text: DOI OA License
Miyagawa, Akihiro A short note on strong convergence of \(q\)-Gaussians. (English) Zbl 07786171 Int. J. Math. 34, No. 14, Article ID 2350087, 8 p. (2023). MSC: 46L53 46L54 46L65 PDFBibTeX XMLCite \textit{A. Miyagawa}, Int. J. Math. 34, No. 14, Article ID 2350087, 8 p. (2023; Zbl 07786171) Full Text: DOI arXiv
Collins, Benoît; Metcalfe, Anthony Gelfand-Tsetlin polytopes and random contractions away from the limiting shape. (Polytopes de Gelfand-Tsetlin et contractions aléatoires loin de la forme limite.) (English. French summary) Zbl 07779480 Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 3, 423-533 (2023). MSC: 15B52 60B20 52B05 81P45 PDFBibTeX XMLCite \textit{B. Collins} and \textit{A. Metcalfe}, Ann. Fac. Sci. Toulouse, Math. (6) 32, No. 3, 423--533 (2023; Zbl 07779480) Full Text: DOI arXiv
Bandeira, Afonso S.; Boedihardjo, March T.; van Handel, Ramon Matrix concentration inequalities and free probability. (English) Zbl 1527.60020 Invent. Math. 234, No. 1, 419-487 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 60B20 46L53 46L54 15B52 PDFBibTeX XMLCite \textit{A. S. Bandeira} et al., Invent. Math. 234, No. 1, 419--487 (2023; Zbl 1527.60020) Full Text: DOI arXiv
Hide, Will; Magee, Michael Near optimal spectral gaps for hyperbolic surfaces. (English) Zbl 07734891 Ann. Math. (2) 198, No. 2, 791-824 (2023). MSC: 58J50 30F30 53C20 PDFBibTeX XMLCite \textit{W. Hide} and \textit{M. Magee}, Ann. Math. (2) 198, No. 2, 791--824 (2023; Zbl 07734891) Full Text: DOI arXiv
Collins, Benoît; Lamarre, Pierre Yves Gaudreau; Male, Camille Asymptotic freeness of unitary matrices in tensor product spaces for invariant states. (English) Zbl 1518.60008 Random Matrices Theory Appl. 12, No. 2, Article ID 2250052, 39 p. (2023). MSC: 60B20 46L54 60B15 PDFBibTeX XMLCite \textit{B. Collins} et al., Random Matrices Theory Appl. 12, No. 2, Article ID 2250052, 39 p. (2023; Zbl 1518.60008) Full Text: DOI arXiv
Diaz, Mario; Mingo, James A. On the analytic structure of second-order non-commutative probability spaces and functions of bounded Fréchet variation. (English) Zbl 1517.60010 Random Matrices Theory Appl. 12, No. 1, Article ID 2250044, 26 p. (2023). MSC: 60B20 15B52 46L54 60F05 PDFBibTeX XMLCite \textit{M. Diaz} and \textit{J. A. Mingo}, Random Matrices Theory Appl. 12, No. 1, Article ID 2250044, 26 p. (2023; Zbl 1517.60010) Full Text: DOI arXiv
Collins, B.; Yin, Z.; Zhao, L.; Zhong, P. The spectrum of local random Hamiltonians. (English) Zbl 1515.82084 J. Phys. A, Math. Theor. 56, No. 3, Article ID 035201, 28 p. (2023). MSC: 82B44 60K35 81Q10 PDFBibTeX XMLCite \textit{B. Collins} et al., J. Phys. A, Math. Theor. 56, No. 3, Article ID 035201, 28 p. (2023; Zbl 1515.82084) Full Text: DOI arXiv
Fukuda, Motohisa; Hasebe, Takahiro; Sato, Shinya Additivity violation of quantum channels via strong convergence to semi-circular and circular elements. (English) Zbl 07762542 Random Matrices Theory Appl. 11, No. 1, Article ID 2250012, 36 p. (2022). MSC: 81P45 46L54 60B20 PDFBibTeX XMLCite \textit{M. Fukuda} et al., Random Matrices Theory Appl. 11, No. 1, Article ID 2250012, 36 p. (2022; Zbl 07762542) Full Text: DOI arXiv
Collins, Benoît; Parraud, Félix Concentration estimates for random subspaces of a tensor product and application to quantum information theory. (English) Zbl 1507.81055 J. Math. Phys. 63, No. 10, Article ID 102202, 13 p. (2022). MSC: 81P45 81P16 94A40 46L54 15B52 60B15 PDFBibTeX XMLCite \textit{B. Collins} and \textit{F. Parraud}, J. Math. Phys. 63, No. 10, Article ID 102202, 13 p. (2022; Zbl 1507.81055) Full Text: DOI arXiv
Hayes, Ben A random matrix approach to the Peterson-Thom conjecture. (English) Zbl 1503.46049 Indiana Univ. Math. J. 71, No. 3, 1243-1297 (2022). MSC: 46L10 46L36 60B20 PDFBibTeX XMLCite \textit{B. Hayes}, Indiana Univ. Math. J. 71, No. 3, 1243--1297 (2022; Zbl 1503.46049) Full Text: DOI arXiv
Parraud, Félix On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices. (English) Zbl 1487.60011 Probab. Theory Relat. Fields 182, No. 3-4, 751-806 (2022). MSC: 60B15 15B52 46L09 46L54 PDFBibTeX XMLCite \textit{F. Parraud}, Probab. Theory Relat. Fields 182, No. 3--4, 751--806 (2022; Zbl 1487.60011) Full Text: DOI arXiv
Fujie, Katsunori; Hasebe, Takahiro The spectra of principal submatrices in rotationally invariant Hermitian random matrices and the Markov-Krein correspondence. (English) Zbl 1492.46058 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 109-123 (2022). MSC: 46L54 60B20 PDFBibTeX XMLCite \textit{K. Fujie} and \textit{T. Hasebe}, ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 109--123 (2022; Zbl 1492.46058) Full Text: arXiv Link
Capitaine, Mireille Nonuniversality of fluctuations of outliers for Hermitian polynomials in a complex Wigner matrix and a spiked diagonal matrix. (English) Zbl 1508.15024 Random Matrices Theory Appl. 9, No. 4, Article ID 2050013, 42 p. (2020). MSC: 15B52 60B20 15A18 60F05 46L54 PDFBibTeX XMLCite \textit{M. Capitaine}, Random Matrices Theory Appl. 9, No. 4, Article ID 2050013, 42 p. (2020; Zbl 1508.15024) Full Text: DOI arXiv
Yan, Xiaojing; Yin, Zhi; Li, Longsuo Approximation of quantum assemblages. (English) Zbl 1448.81062 Phys. Lett., A 384, No. 3, Article ID 126082, 5 p. (2020). MSC: 81P15 81P16 81P18 PDFBibTeX XMLCite \textit{X. Yan} et al., Phys. Lett., A 384, No. 3, Article ID 126082, 5 p. (2020; Zbl 1448.81062) Full Text: DOI
Bao, Zhigang; Erdős, László; Schnelli, Kevin Spectral rigidity for addition of random matrices at the regular edge. (English) Zbl 1460.46058 J. Funct. Anal. 279, No. 7, Article ID 108639, 93 p. (2020). MSC: 46L54 60B20 PDFBibTeX XMLCite \textit{Z. Bao} et al., J. Funct. Anal. 279, No. 7, Article ID 108639, 93 p. (2020; Zbl 1460.46058) Full Text: DOI arXiv
Heinosaari, Teiko; Jivulescu, Maria Anastasia; Nechita, Ion Random positive operator valued measures. (English) Zbl 1443.81005 J. Math. Phys. 61, No. 4, 042202, 27 p. (2020). MSC: 81P15 46G10 PDFBibTeX XMLCite \textit{T. Heinosaari} et al., J. Math. Phys. 61, No. 4, 042202, 27 p. (2020; Zbl 1443.81005) Full Text: DOI arXiv
Guionnet, Alice; Maïda, Mylène Large deviations for the largest eigenvalue of the sum of two random matrices. (English) Zbl 1440.15035 Electron. J. Probab. 25, Paper No. 14, 24 p. (2020). MSC: 15B52 60B20 PDFBibTeX XMLCite \textit{A. Guionnet} and \textit{M. Maïda}, Electron. J. Probab. 25, Paper No. 14, 24 p. (2020; Zbl 1440.15035) Full Text: DOI arXiv Euclid
Bordenave, Charles; Collins, Benoît Eigenvalues of random lifts and polynomials of random permutation matrices. (English) Zbl 1446.60004 Ann. Math. (2) 190, No. 3, 811-875 (2019). Reviewer: Theodoros Assiotis (Edinburgh) MSC: 60B20 05C80 46L54 PDFBibTeX XMLCite \textit{C. Bordenave} and \textit{B. Collins}, Ann. Math. (2) 190, No. 3, 811--875 (2019; Zbl 1446.60004) Full Text: DOI arXiv
Pisier, Gilles On a linearization trick. (English) Zbl 1462.46063 Enseign. Math. (2) 64, No. 3-4, 315-326 (2018). MSC: 46L05 60B20 15B52 46H35 PDFBibTeX XMLCite \textit{G. Pisier}, Enseign. Math. (2) 64, No. 3--4, 315--326 (2018; Zbl 1462.46063) Full Text: DOI arXiv
Nechita, Ion On the separability of unitarily invariant random quantum states: the unbalanced regime. (English) Zbl 1404.81050 Adv. Math. Phys. 2018, Article ID 7105074, 13 p. (2018). MSC: 81P40 81P16 PDFBibTeX XMLCite \textit{I. Nechita}, Adv. Math. Phys. 2018, Article ID 7105074, 13 p. (2018; Zbl 1404.81050) Full Text: DOI arXiv
Collins, Benoît; Dahlqvist, Antoine; Kemp, Todd The spectral edge of unitary Brownian motion. (English) Zbl 1384.15009 Probab. Theory Relat. Fields 170, No. 1-2, 49-93 (2018). Reviewer: Jaromír Antoch (Praha) MSC: 15B52 46L54 60F15 60G55 60J65 60B20 15A18 PDFBibTeX XMLCite \textit{B. Collins} et al., Probab. Theory Relat. Fields 170, No. 1--2, 49--93 (2018; Zbl 1384.15009) 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
Kemp, Todd Heat kernel empirical laws on \({\mathrm {U}}_N\) and \({\mathrm {GL}}_N\). (English) Zbl 1414.60006 J. Theor. Probab. 30, No. 2, 397-451 (2017). MSC: 60B20 46L54 PDFBibTeX XMLCite \textit{T. Kemp}, J. Theor. Probab. 30, No. 2, 397--451 (2017; Zbl 1414.60006) Full Text: DOI arXiv
Mejía, José; Zapata, Camilo; Botero, Alonso The difference between two random mixed quantum states: exact and asymptotic spectral analysis. (English) Zbl 1357.81049 J. Phys. A, Math. Theor. 50, No. 2, Article ID 025301, 31 p. (2017). MSC: 81P45 81P16 81P40 35P20 81P50 15B52 PDFBibTeX XMLCite \textit{J. Mejía} et al., J. Phys. A, Math. Theor. 50, No. 2, Article ID 025301, 31 p. (2017; Zbl 1357.81049) Full Text: DOI arXiv
Collins, Benoit; Gaudreau Lamarre, Pierre Yves \({\ast}\)-freeness in finite tensor products. (English) Zbl 1369.46059 Adv. Appl. Math. 83, 47-80 (2017). MSC: 46L54 46L53 20E05 46L06 PDFBibTeX XMLCite \textit{B. Collins} and \textit{P. Y. Gaudreau Lamarre}, Adv. Appl. Math. 83, 47--80 (2017; Zbl 1369.46059) Full Text: DOI arXiv
Pisier, Gilles Strong convergence for reduced free products. (English) Zbl 1359.46054 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 2, Article ID 1650008, 22 p. (2016). MSC: 46L54 46L07 46L53 PDFBibTeX XMLCite \textit{G. Pisier}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 2, Article ID 1650008, 22 p. (2016; Zbl 1359.46054) Full Text: DOI arXiv
Hayes, Ben An \(l^p\)-version of von Neumann dimension for Banach space representations of sofic groups. II. (English) Zbl 1339.43001 J. Funct. Anal. 269, No. 8, 2365-2426 (2015). MSC: 43A07 20F65 PDFBibTeX XMLCite \textit{B. Hayes}, J. Funct. Anal. 269, No. 8, 2365--2426 (2015; Zbl 1339.43001) Full Text: DOI arXiv
Fukuda, Motohisa; Nechita, Ion Additivity rates and PPT property for random quantum channels. (English) Zbl 1338.46072 Ann. Math. Blaise Pascal 22, No. 1, 1-72 (2015). MSC: 46L54 60B20 81P45 PDFBibTeX XMLCite \textit{M. Fukuda} and \textit{I. Nechita}, Ann. Math. Blaise Pascal 22, No. 1, 1--72 (2015; Zbl 1338.46072) Full Text: DOI arXiv
Pisier, Gilles Random matrices and subexponential operator spaces. (English) Zbl 1327.46054 Isr. J. Math. 203, 223-273 (2014). Reviewer: Florin P. Boca (Urbana-Champaign) MSC: 46L07 46B28 47L25 60B20 PDFBibTeX XMLCite \textit{G. Pisier}, Isr. J. Math. 203, 223--273 (2014; Zbl 1327.46054) Full Text: DOI arXiv
Anderson, Greg W.; Farrell, Brendan Asymptotically liberating sequences of random unitary matrices. (English) Zbl 1290.60003 Adv. Math. 255, 381-413 (2014). MSC: 60B20 42A61 46L54 15B52 PDFBibTeX XMLCite \textit{G. W. Anderson} and \textit{B. Farrell}, Adv. Math. 255, 381--413 (2014; Zbl 1290.60003) Full Text: DOI arXiv
Guionnet, Alice; Zeitouni, Ofer Support convergence in the single ring theorem. (English) Zbl 1261.15043 Probab. Theory Relat. Fields 154, No. 3-4, 661-675 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 15A18 46L54 46L51 PDFBibTeX XMLCite \textit{A. Guionnet} and \textit{O. Zeitouni}, Probab. Theory Relat. Fields 154, No. 3--4, 661--675 (2012; Zbl 1261.15043) 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