Akemann, Gernot; Byun, Sung-Soo The product of \(m\) real \(N \times N\) Ginibre matrices: real eigenvalues in the critical regime \(m = O(N)\). (English) Zbl 07813119 Constr. Approx. 59, No. 1, 31-59 (2024). MSC: 81-XX 05-XX PDFBibTeX XMLCite \textit{G. Akemann} and \textit{S.-S. Byun}, Constr. Approx. 59, No. 1, 31--59 (2024; Zbl 07813119) Full Text: DOI arXiv
Akemann, Gernot; Aygün, Noah; Würfel, Tim R. Generalised unitary group integrals of Ingham-Siegel and Fisher-Hartwig type. (English) Zbl 07812239 J. Math. Phys. 65, No. 2, Article ID 023501, 17 p. (2024). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{G. Akemann} et al., J. Math. Phys. 65, No. 2, Article ID 023501, 17 p. (2024; Zbl 07812239) Full Text: DOI arXiv
Akemann, Gernot; Byun, Sung-Soo; Ebke, Markus; Schehr, Grégory Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble. (English) Zbl 07786698 J. Phys. A, Math. Theor. 56, No. 49, Article ID 495202, 53 p. (2023). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{G. Akemann} et al., J. Phys. A, Math. Theor. 56, No. 49, Article ID 495202, 53 p. (2023; Zbl 07786698) Full Text: DOI arXiv OA License
Akemann, Gernot; Byun, Sung-Soo; Ebke, Markus Universality of the number variance in rotational invariant two-dimensional Coulomb gases. (English) Zbl 07615078 J. Stat. Phys. 190, No. 1, Paper No. 9, 34 p. (2023). MSC: 82Bxx 60B20 PDFBibTeX XMLCite \textit{G. Akemann} et al., J. Stat. Phys. 190, No. 1, Paper No. 9, 34 p. (2023; Zbl 07615078) Full Text: DOI arXiv
Akemann, Gernot; Byun, Sung-Soo; Kang, Nam-Gyu Scaling limits of planar symplectic ensembles. (English) Zbl 1482.60008 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 007, 40 p. (2022). MSC: 60B20 33C45 33E12 PDFBibTeX XMLCite \textit{G. Akemann} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 007, 40 p. (2022; Zbl 1482.60008) Full Text: DOI arXiv
Akemann, Gernot; Ebke, Markus; Parra, Iván Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels. (English) Zbl 1503.33008 Commun. Math. Phys. 389, No. 1, 621-659 (2022). MSC: 33C45 30C40 60B20 60G55 PDFBibTeX XMLCite \textit{G. Akemann} et al., Commun. Math. Phys. 389, No. 1, 621--659 (2022; Zbl 1503.33008) Full Text: DOI arXiv
Akemann, G.; Würfel, T. R. Universal microscopic spectrum of the unquenched QCD Dirac operator at finite temperature. (English) Zbl 1521.81190 J. High Energy Phys. 2021, No. 12, Paper No. 128, 31 p. (2021). MSC: 81T25 81T12 81T32 81V05 15B52 PDFBibTeX XMLCite \textit{G. Akemann} and \textit{T. R. Würfel}, J. High Energy Phys. 2021, No. 12, Paper No. 128, 31 p. (2021; Zbl 1521.81190) Full Text: DOI arXiv
Akemann, Gernot; Nagao, Taro; Parra, Iván; Vernizzi, Graziano Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane. (English) Zbl 1469.30007 Constr. Approx. 53, No. 3, 441-478 (2021). MSC: 30C10 33C45 42C05 15B52 PDFBibTeX XMLCite \textit{G. Akemann} et al., Constr. Approx. 53, No. 3, 441--478 (2021; Zbl 1469.30007) Full Text: DOI arXiv
Akemann, Gernot; Byun, Sung-Soo; Kang, Nam-Gyu A non-Hermitian generalisation of the Marchenko-Pastur distribution: from the circular law to multi-criticality. (English) Zbl 1460.60004 Ann. Henri Poincaré 22, No. 4, 1035-1068 (2021). MSC: 60B20 33C45 76D27 81T30 20G30 PDFBibTeX XMLCite \textit{G. Akemann} et al., Ann. Henri Poincaré 22, No. 4, 1035--1068 (2021; Zbl 1460.60004) Full Text: DOI arXiv
Nagao, Taro; Akemann, Gernot; Kieburg, Mario; Parra, Iván Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality. (English) Zbl 1514.82195 J. Phys. A, Math. Theor. 53, No. 7, Article ID 075201, 36 p. (2020). MSC: 82D05 60K35 76N15 PDFBibTeX XMLCite \textit{T. Nagao} et al., J. Phys. A, Math. Theor. 53, No. 7, Article ID 075201, 36 p. (2020; Zbl 1514.82195) Full Text: DOI arXiv
Akemann, Gernot; Tribe, Roger; Tsareas, Athanasios; Zaboronski, Oleg On the determinantal structure of conditional overlaps for the complex Ginibre ensemble. (English) Zbl 1458.82006 Random Matrices Theory Appl. 9, No. 4, Article ID 2050015, 42 p. (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B05 60J65 60G15 60B20 15B52 15A18 33C45 PDFBibTeX XMLCite \textit{G. Akemann} et al., Random Matrices Theory Appl. 9, No. 4, Article ID 2050015, 42 p. (2020; Zbl 1458.82006) Full Text: DOI arXiv
Akemann, Gernot; Kieburg, Mario; Mielke, Adam; Vidal, Pedro Preserving topology while breaking chirality: from chiral orthogonal to anti-symmetric Hermitian ensemble. (English) Zbl 07382787 J. Stat. Mech. Theory Exp. 2019, No. 2, Article ID 023102, 51 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{G. Akemann} et al., J. Stat. Mech. Theory Exp. 2019, No. 2, Article ID 023102, 51 p. (2019; Zbl 07382787) Full Text: DOI arXiv
Akemann, Gernot; Byun, Sung-Soo The high temperature crossover for general 2D Coulomb gases. (English) Zbl 1482.82044 J. Stat. Phys. 175, No. 6, 1043-1065 (2019). MSC: 82C22 82C31 60B20 15B52 35B53 35B40 33E12 35Q82 PDFBibTeX XMLCite \textit{G. Akemann} and \textit{S.-S. Byun}, J. Stat. Phys. 175, No. 6, 1043--1065 (2019; Zbl 1482.82044) Full Text: DOI arXiv
Akemann, Gernot; Strahov, Eugene Product matrix processes for coupled multi-matrix models and their hard edge scaling limits. (English) Zbl 1409.60021 Ann. Henri Poincaré 19, No. 9, 2599-2649 (2018). MSC: 60B20 15B52 PDFBibTeX XMLCite \textit{G. Akemann} and \textit{E. Strahov}, Ann. Henri Poincaré 19, No. 9, 2599--2649 (2018; Zbl 1409.60021) Full Text: DOI arXiv
Akemann, Gernot; Cikovic, Milan Products of random matrices from fixed trace and induced Ginibre ensembles. (English) Zbl 1426.15051 J. Phys. A, Math. Theor. 51, No. 18, Article ID 184002, 34 p. (2018). Reviewer: Zakhar Kabluchko (Münster) MSC: 15B52 60B20 82B41 PDFBibTeX XMLCite \textit{G. Akemann} and \textit{M. Cikovic}, J. Phys. A, Math. Theor. 51, No. 18, Article ID 184002, 34 p. (2018; Zbl 1426.15051) Full Text: DOI arXiv
Akemann, Gernot; Strahov, Eugene Hard edge limit of the product of two strongly coupled random matrices. (English) Zbl 1359.15030 Nonlinearity 29, No. 12, 3743-3776 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 33E20 60G55 15A18 60B20 PDFBibTeX XMLCite \textit{G. Akemann} and \textit{E. Strahov}, Nonlinearity 29, No. 12, 3743--3776 (2016; Zbl 1359.15030) Full Text: DOI arXiv
Akemann, Gernot; Strahov, Eugene Dropping the independence: singular values for products of two coupled random matrices. (English) Zbl 1351.15020 Commun. Math. Phys. 345, No. 1, 101-140 (2016). Reviewer: Francisco Marcellán (Leganes) MSC: 15B52 60B20 15A18 33C60 60F05 PDFBibTeX XMLCite \textit{G. Akemann} and \textit{E. Strahov}, Commun. Math. Phys. 345, No. 1, 101--140 (2016; Zbl 1351.15020) Full Text: DOI arXiv