Publications

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  • P. Forrester, J. Ipsen, DZ Liu, L. Zhang. Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles. Random Matrices: Theory and Application, 1950015 (37pp), 2019. doi: 10.1142/S2010326319500151.

  • M Kieburg, P. Forrester, J. Ipsen. Multiplicative convolution of real asymmetric and real anti-symmetric matrices. Advances in Pure and Applied Mathematics, 467-492, 2019. doi: 10.1515/apam-2018-0037.

  • P. Forrester, J. Ipsen. A generalisation of the relation between zeros of the complex Kac polynomial and eigenvalues of truncated unitary matrices. Probability Theory and Related Fields, 175, 833-847, 2019. doi: 10.1007/s00440-019-00903-7.

  • P. Forrester, J. Ipsen, D. Liu. Matrix Product Ensembles of Hermite Type and the Hyperbolic Harish-Chandra–Itzykson–Zuber Integral. Annales Henri Poincare, 1307-1348, 2018. doi: 10.1007/s00023-018-0654-x.

  • P. Forrester, J. Ipsen. Selberg integral theory and Muttalib-Borodin ensembles. Advances in Applied Mathematics, 95, 152-176, 2018. doi: 10.1016/j.aam.2017.11.004.

  • P. Forrester, J. Ipsen, S. Kumar. How Many Eigenvalues of a Product of Truncated Orthogonal Matrices are Real?. Experimental Mathematics, 1-15, 2018. doi: 10.1080/10586458.2018.1459962.

  • J. Ipsen, P. Forrester. Kac-Rice fixed point analysis for single- and multi-layered complex systems. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 51, 474003 (19pp), 2018. doi: 10.1088/1751-8121/aae76d.

  • J. Ipsen. May–Wigner transition in large random dynamical systems. Journal of Statistical Mechanics: Theory and Experiment, 2017, 093209 (17pp), 2017. doi: 10.1088/1742-5468/aa8704.

  • P. Forrester, J. Ipsen. Real eigenvalue statistics for products of asymmetric real Gaussian matrices. Linear Algebra and its Applications, 510, 259-290, 2016. doi: 10.1016/j.laa.2016.08.015.

  • J. Ipsen, H Schomerus. Isotropic Brownian motions over complex fields as a solvable model for May-Wigner stability analysis. Journal of Physics A: Mathematical and Theoretical, 49, 385201 (14pp), 2016. doi: 10.1088/1751-8113/49/38/385201.

  • Gernot Akemann, J. Ipsen. Recent Exact and Asymptotic Results for Products of Independent Random Matrices. ACTA Physica Polonica B, 46, 1747-1784, 2015. doi: 10.5506/APhysPolB.46.1747.

  • J. Ipsen. Lyapunov exponents for products of rectangular real, complex and quaternionic Ginibre matrices. Journal of Physics A: Mathematical and Theoretical, 48, 155204 (18pp), 2015. doi: 10.1088/1751-8113/48/15/155204.

  • J. Ipsen, M. Kieburg. Weak commutation relations and eigenvalue statistics for products of rectangular random matrices. Physical Review E, 89, 032106 (20pp), 2014. doi: 10.1103/PhysRevE.89.032106.

  • Gernot Akemann, J. Ipsen, Eugene Strahov. Permanental processes from products of complex and quaternionic induced Ginibre ensembles. Random Matrices: Theory and Applications, 3, 4-1450014, 2014. doi: 10.1142/S2010326314500142.

  • J. Ipsen. Products of independent quaternion Ginibre matrices and their correlation functions. Journal of Physics A: Mathematical and Theoretical, 46, 265201 (16pp), 2013. doi: 10.1088/1751-8113/46/26/265201.

  • Gernot Akemann, J. Ipsen, M. Kieburg. Products of rectangular random matrices: Singular values and progressive scattering. Physical Review E, 88, 052118 (13pp), 2013. doi: 10.1103/PhysRevE.88.052118.

  • J. Ipsen, K Splittorff. Baryon number Dirac spectrum in QCD. Physical Review D, 86, 2012. doi: 10.1103/PhysRevD.86.014508.