Byun, Sung-Soo; Kang, Nam-Gyu; Lee, Ji Oon; Lee, Jinyeop Real eigenvalues of elliptic random matrices. (English) Zbl 1510.15051 Int. Math. Res. Not. 2023, No. 3, 2243-2280 (2023). Reviewer: Sho Matsumoto (Kagoshima) MSC: 15B52 15A18 60B20 33C10 PDFBibTeX XMLCite \textit{S.-S. Byun} et al., Int. Math. Res. Not. 2023, No. 3, 2243--2280 (2023; Zbl 1510.15051) Full Text: DOI arXiv
Jekel, David Conditional expectation, entropy, and transport for convex Gibbs laws in free probability. (English) Zbl 1496.46067 Int. Math. Res. Not. 2022, No. 6, 4514-4619 (2022). MSC: 46L54 46L53 60B20 PDFBibTeX XMLCite \textit{D. Jekel}, Int. Math. Res. Not. 2022, No. 6, 4514--4619 (2022; Zbl 1496.46067) Full Text: DOI arXiv
Belinschi, Serban T.; Bercovici, Hari; Capitaine, Mireille On the outlying eigenvalues of a polynomial in large independent random matrices. (English) Zbl 1471.15031 Int. Math. Res. Not. 2021, No. 4, 2588-2641 (2021). MSC: 15B52 15A18 60B20 PDFBibTeX XMLCite \textit{S. T. Belinschi} et al., Int. Math. Res. Not. 2021, No. 4, 2588--2641 (2021; Zbl 1471.15031) Full Text: DOI arXiv
Cafasso, Mattia; Claeys, Tom; Girotti, Manuela Fredholm determinant solutions of the Painlevé. II: Hierarchy and gap probabilities of determinantal point processes. (English) Zbl 1489.60081 Int. Math. Res. Not. 2021, No. 4, 2437-2478 (2021). Reviewer: Viktor Ohanyan (Erevan) MSC: 60G55 60B20 47G10 PDFBibTeX XMLCite \textit{M. Cafasso} et al., Int. Math. Res. Not. 2021, No. 4, 2437--2478 (2021; Zbl 1489.60081) Full Text: DOI arXiv
Hayes, Ben; Jekel, David; Nelson, Brent; Sinclair, Thomas A random matrix approach to absorption in free products. (English) Zbl 1481.46059 Int. Math. Res. Not. 2021, No. 3, 1919-1979 (2021). MSC: 46L09 60B20 PDFBibTeX XMLCite \textit{B. Hayes} et al., Int. Math. Res. Not. 2021, No. 3, 1919--1979 (2021; Zbl 1481.46059) Full Text: DOI arXiv
Gorin, Vadim; Marcus, Adam W. Crystallization of random matrix orbits. (English) Zbl 1447.60021 Int. Math. Res. Not. 2020, No. 3, 883-913 (2020). MSC: 60B20 PDFBibTeX XMLCite \textit{V. Gorin} and \textit{A. W. Marcus}, Int. Math. Res. Not. 2020, No. 3, 883--913 (2020; Zbl 1447.60021) Full Text: DOI arXiv
Charlier, Christophe Asymptotics of Hankel determinants with a one-cut regular potential and Fisher-Hartwig singularities. (English) Zbl 1479.15035 Int. Math. Res. Not. 2019, No. 24, 7515-7576 (2019). MSC: 15B52 15A15 60B20 PDFBibTeX XMLCite \textit{C. Charlier}, Int. Math. Res. Not. 2019, No. 24, 7515--7576 (2019; Zbl 1479.15035) Full Text: DOI arXiv
Lyons, Russell; Oveis Gharan, Shayan Sharp bounds on random walk eigenvalues via spectral embedding. (English) Zbl 1419.05132 Int. Math. Res. Not. 2018, No. 24, 7555-7605 (2018). MSC: 05C50 05C81 PDFBibTeX XMLCite \textit{R. Lyons} and \textit{S. Oveis Gharan}, Int. Math. Res. Not. 2018, No. 24, 7555--7605 (2018; Zbl 1419.05132) Full Text: DOI arXiv
Tikhomirov, Konstantin Sample covariance matrices of heavy-tailed distributions. (English) Zbl 1462.62330 Int. Math. Res. Not. 2018, No. 20, 6254-6289 (2018). MSC: 62H12 62G32 60B20 60F10 PDFBibTeX XMLCite \textit{K. Tikhomirov}, Int. Math. Res. Not. 2018, No. 20, 6254--6289 (2018; Zbl 1462.62330) Full Text: DOI arXiv
Paquette, Elliot; Zeitouni, Ofer The maximum of the CUE field. (English) Zbl 1407.60010 Int. Math. Res. Not. 2018, No. 16, 5028-5119 (2018). MSC: 60B20 60G15 PDFBibTeX XMLCite \textit{E. Paquette} and \textit{O. Zeitouni}, Int. Math. Res. Not. 2018, No. 16, 5028--5119 (2018; Zbl 1407.60010) Full Text: DOI arXiv
Erdős, László; Schröder, Dominik Fluctuations of rectangular Young diagrams of interlacing Wigner eigenvalues. (English) Zbl 1407.60006 Int. Math. Res. Not. 2018, No. 10, 3255-3298 (2018). MSC: 60B20 60F05 PDFBibTeX XMLCite \textit{L. Erdős} and \textit{D. Schröder}, Int. Math. Res. Not. 2018, No. 10, 3255--3298 (2018; Zbl 1407.60006) Full Text: DOI arXiv
Bubeck, Sébastien; Ganguly, Shirshendu Entropic CLT and phase transition in high-dimensional Wishart matrices. (English) Zbl 1407.82024 Int. Math. Res. Not. 2018, No. 2, 588-606 (2018). MSC: 82B26 15B52 94A17 PDFBibTeX XMLCite \textit{S. Bubeck} and \textit{S. Ganguly}, Int. Math. Res. Not. 2018, No. 2, 588--606 (2018; Zbl 1407.82024) Full Text: DOI arXiv
Rider, B.; Valkó, B. Matrix Dufresne identities. (English) Zbl 1344.60070 Int. Math. Res. Not. 2016, No. 1, 174-218 (2016). MSC: 60H99 60B20 60H10 60J65 60J60 PDFBibTeX XMLCite \textit{B. Rider} and \textit{B. Valkó}, Int. Math. Res. Not. 2016, No. 1, 174--218 (2016; Zbl 1344.60070) Full Text: DOI arXiv Link
Koltchinskii, Vladimir; Mendelson, Shahar Bounding the smallest singular value of a random matrix without concentration. (English) Zbl 1331.15027 Int. Math. Res. Not. 2015, No. 23, 12991-13008 (2015). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60B20 15A18 15A42 PDFBibTeX XMLCite \textit{V. Koltchinskii} and \textit{S. Mendelson}, Int. Math. Res. Not. 2015, No. 23, 12991--13008 (2015; Zbl 1331.15027) Full Text: DOI arXiv
Barhoumi-Andréani, Yacine; Hughes, Christopher; Najnudel, Joseph; Nikeghbali, Ashkan On the number of zeros of linear combinations of independent characteristic polynomials of random unitary matrices. (English) Zbl 1335.15043 Int. Math. Res. Not. 2015, No. 23, 12366-12404 (2015). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60F05 60B20 11M41 PDFBibTeX XMLCite \textit{Y. Barhoumi-Andréani} et al., Int. Math. Res. Not. 2015, No. 23, 12366--12404 (2015; Zbl 1335.15043) Full Text: DOI arXiv Link
Feldheim, Ohad Noy; Paquette, Elliot; Zeitouni, Ofer Regularization of non-normal matrices by Gaussian noise. (English) Zbl 1330.60015 Int. Math. Res. Not. 2015, No. 18, 8724-8751 (2015). MSC: 60B20 PDFBibTeX XMLCite \textit{O. N. Feldheim} et al., Int. Math. Res. Not. 2015, No. 18, 8724--8751 (2015; Zbl 1330.60015) Full Text: DOI arXiv
Nguyen, Hoi H.; O’Rourke, Sean The elliptic law. (English) Zbl 1325.15030 Int. Math. Res. Not. 2015, No. 17, 7620-7689 (2015). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60B20 PDFBibTeX XMLCite \textit{H. H. Nguyen} and \textit{S. O'Rourke}, Int. Math. Res. Not. 2015, No. 17, 7620--7689 (2015; Zbl 1325.15030) Full Text: DOI arXiv
Tao, Terence; Vu, Van Local universality of zeroes of random polynomials. (English) Zbl 1360.60102 Int. Math. Res. Not. 2015, No. 13, 5053-5139 (2015). MSC: 60G99 60B20 60F10 PDFBibTeX XMLCite \textit{T. Tao} and \textit{V. Vu}, Int. Math. Res. Not. 2015, No. 13, 5053--5139 (2015; Zbl 1360.60102) Full Text: DOI arXiv
Rumanov, Igor Hard edge for \(\beta\)-ensembles and Painlevé III. (English) Zbl 1314.60138 Int. Math. Res. Not. 2014, No. 23, 6576-6617 (2014). MSC: 60H99 60H25 47B80 15B52 PDFBibTeX XMLCite \textit{I. Rumanov}, Int. Math. Res. Not. 2014, No. 23, 6576--6617 (2014; Zbl 1314.60138) Full Text: DOI arXiv
Katz, Nicholas M. Witt vectors and a question of Keating and Rudnick. (English) Zbl 1328.13028 Int. Math. Res. Not. 2013, No. 16, 3613-3638 (2013). MSC: 13F35 11M50 11M41 PDFBibTeX XMLCite \textit{N. M. Katz}, Int. Math. Res. Not. 2013, No. 16, 3613--3638 (2013; Zbl 1328.13028) Full Text: DOI
Baik, Jinho; Wang, Dong On the largest eigenvalue of a Hermitian random matrix model with spiked external source. II: Higher rank cases. (English) Zbl 1315.15033 Int. Math. Res. Not. 2013, No. 14, 3304-3370 (2013). MSC: 15B52 15B57 60B20 PDFBibTeX XMLCite \textit{J. Baik} and \textit{D. Wang}, Int. Math. Res. Not. 2013, No. 14, 3304--3370 (2013; Zbl 1315.15033) Full Text: DOI arXiv
Baik, Jinho; Wang, Dong On the largest eigenvalue of a Hermitian random matrix model with spiked external source. I. Rank 1 case. (English) Zbl 1233.15011 Int. Math. Res. Not. 2011, No. 22, 5164-5240 (2011). Reviewer: Václav Burjan (Praha) MSC: 15B52 60B20 15A18 15B57 PDFBibTeX XMLCite \textit{J. Baik} and \textit{D. Wang}, Int. Math. Res. Not. 2011, No. 22, 5164--5240 (2011; Zbl 1233.15011) Full Text: DOI arXiv
Lubinsky, D. S. Universality limits at the hard edge of the spectrum for measures with compact support. (English) Zbl 1172.28006 Int. Math. Res. Not. 2008, Article ID rnn099, 39 p. (2008). Reviewer: Werner Strauß (Stuttgart) MSC: 28B99 15B52 33C47 PDFBibTeX XMLCite \textit{D. S. Lubinsky}, Int. Math. Res. Not. 2008, Article ID rnn099, 39 p. (2008; Zbl 1172.28006) Full Text: DOI
Mo, Man Yue The Riemann-Hilbert approach to double scaling limit of random matrix eigenvalues near the “birth of a cut” transition. (English) Zbl 1149.15017 Int. Math. Res. Not. 2008, Article ID rnn042, 51 p. (2008). Reviewer: Václav Burjan (Praha) MSC: 15B52 60J35 15A18 PDFBibTeX XMLCite \textit{M. Y. Mo}, Int. Math. Res. Not. 2008, Article ID rnn042, 51 p. (2008; Zbl 1149.15017) Full Text: DOI arXiv
Helton, J. William; Far, Reza Rashidi; Speicher, Roland Operator-valued semicircular elements: solving a quadratic matrix equation with positivity constraints. (English) Zbl 1139.15006 Int. Math. Res. Not. 2007, No. 22, Article ID rnm086, 15 p. (2007). Reviewer: Sheng Chen (Harbin) MSC: 15A24 15B52 65F30 PDFBibTeX XMLCite \textit{J. W. Helton} et al., Int. Math. Res. Not. 2007, No. 22, Article ID rnm086, 15 p. (2007; Zbl 1139.15006) Full Text: DOI arXiv
Corteel, Sylvie; Williams, Lauren K. A Markov chain on permutations which projects to the PASEP. (English) Zbl 1132.60070 Int. Math. Res. Not. 2007, No. 17, Article ID rnm055, 27 p. (2007). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{S. Corteel} and \textit{L. K. Williams}, Int. Math. Res. Not. 2007, No. 17, Article ID rnm055, 27 p. (2007; Zbl 1132.60070) Full Text: DOI arXiv
Fyodorov, Yan V. On permanental polynomials of certain random matrices. (English) Zbl 1108.15025 Int. Math. Res. Not. 2006, No. 10, Article ID 61570, 37 p. (2006). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A15 15A18 PDFBibTeX XMLCite \textit{Y. V. Fyodorov}, Int. Math. Res. Not. 2006, No. 10, Article ID 61570, 37 p. (2006; Zbl 1108.15025) Full Text: DOI arXiv
Bleher, P. M.; Kuijlaars, A. B. J. Random matrices with external source and multiple orthogonal polynomials. (English) Zbl 1082.15035 Int. Math. Res. Not. 2004, No. 3, 109-129 (2004). Reviewer: Martín Argerami (Regina) MSC: 15B52 28C10 60B15 42C05 15A18 PDFBibTeX XMLCite \textit{P. M. Bleher} and \textit{A. B. J. Kuijlaars}, Int. Math. Res. Not. 2004, No. 3, 109--129 (2004; Zbl 1082.15035) Full Text: DOI arXiv
Ercolani, N. M.; McLaughlin, K. D. T.-R. Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques and applications to graphical enumeration. (English) Zbl 1140.82307 Int. Math. Res. Not. 2003, No. 14, 755-820 (2003). Reviewer: Nguyêñ Hô\=ng Thaí (Szczecin) MSC: 82B44 47B80 47A56 42C05 15B52 30E25 33D45 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{K. D. T. R. McLaughlin}, Int. Math. Res. Not. 2003, No. 14, 755--820 (2003; Zbl 1140.82307) Full Text: DOI arXiv
Costin, Ovidiu; Costin, Rodica D. Asymptotic properties of a family of solutions of the Painlevé equation \(P_{VI}\). (English) Zbl 1016.34092 Int. Math. Res. Not. 2002, No. 22, 1167-1182 (2002). Reviewer: S.K.Chatterjea (Kolkata) MSC: 34M55 34M30 PDFBibTeX XMLCite \textit{O. Costin} and \textit{R. D. Costin}, Int. Math. Res. Not. 2002, No. 22, 1167--1182 (2002; Zbl 1016.34092) Full Text: DOI arXiv
Zelditch, Steve A random matrix model for quantum mixing. (English) Zbl 0858.58048 Int. Math. Res. Not. 1996, No. 3, 115-137 (1996). Reviewer: P.Garbaczewski (Wrocław) MSC: 58J40 81Q50 53D50 15B52 PDFBibTeX XMLCite \textit{S. Zelditch}, Int. Math. Res. Not. 1996, No. 3, 115--137 (1996; Zbl 0858.58048) Full Text: DOI