Publications

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  • Gernot Akemann, Yanik-Pascal Forster, M. Kieburg, Yanik-Pascal Förster. Universal eigenvector correlations in quaternionic Ginibre ensembles. Journal of Physics A: Mathematical and Theoretical, 53, 145201 (26pp), 2020. doi: 10.1088/1751-8121/ab766e.

  • M. Kieburg, A Mielke, M Rud, K Splittorff. Universal distributions from non-Hermitian perturbation of zero modes.. Physical Review E, 101, 032117, 2020. doi: 10.1103/PhysRevE.101.032117.

  • Z Zheng, ZJ Haas, M. Kieburg. Secrecy Rate of Cooperative MIMO in the Presence of a Location Constrained Eavesdropper. IEEE Transactions on Communications, 67, 1356-1370, 2019. doi: 10.1109/TCOMM.2018.2877329.

  • M. Kieburg, JJM Verbaarschot, T Wettig. Dirac spectrum and chiral condensate for QCD at fixed θ angle. Physical Review D, 99, 2019. doi: 10.1103/PhysRevD.99.074515.

  • M. Kieburg, A Mielke, K Splittorff. Universal broadening of zero modes: A general framework and identification. Physical Review E, 99, 052112, 2019. doi: 10.1103/PhysRevE.99.052112.

  • M. Kieburg, Gernot Akemann, Ivan Parra, Taro NAGAO. Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality. 075201 (36pp), arXiv.org, 2019.

  • M. Kieburg, Paolo Barucca, Alexander Ossipov. Eigenvalue and Eigenvector Statistics in Time Series Analysis. 60003, arXiv.org, 2019.

  • M. Kieburg, Jacobus Verbaarschot, Takuya Kanazawa. Random matrix approach to three-dimensional QCD with a Chern-Simons term. arXiv.org, 2019.

  • M. Kieburg, Gernot Akemann, Giusi Alfano, Giuseppe Caire. Closed-form performance analysis of linear MIMO receivers in general fading scenarios. VDE Verlag GMBH, 2019.

  • M. Kieburg, Burda Akemann, Zdzsilaw Burda. From integrable to chaotic systems: Universal local statistics of Lyapunov exponents. European Physics Letters, 40001, 2019.

  • G Akemann, M. Kieburg, A Mielke, P Vidal. Preserving topology while breaking chirality: from chiral orthogonal to anti-symmetric Hermitian ensemble. Journal of Statistical Mechanics: Theory and Experiment, 2019, 023102, 2019. doi: 10.1088/1742-5468/aaeee1.

  • M. Kieburg, H Kösters. Products of random matrices from polynomial ensembles. Annales de l'institut Henri Poincare (B) Probability and Statistics, 55, 98-126, 2019. doi: 10.1214/17-AIHP877.

  • T Kanazawa, M. Kieburg. GUE-chGUE transition preserving chirality at finite matrix size. Journal of Physics A: Mathematical and Theoretical, 51, 345202 (27pp), 2018. doi: 10.1088/1751-8121/aace3b.

  • T Kanazawa, M. Kieburg. Symmetry crossover protecting chirality in Dirac spectra. Journal of High Energy Physics, 2018, 2018. doi: 10.1007/JHEP11(2018)205.

  • T Kanazawa, M. Kieburg. Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model. Physical Review Letters, 120, 242001, 2018. doi: 10.1103/PhysRevLett.120.242001.

  • M. Kieburg, TR Würfel. Global Symmetries of Naive and Staggered Fermions in Arbitrary Dimensions. EPJ Web of Conferences, 175, 04006, 2018. doi: 10.1051/epjconf/201817504006.

  • M. Kieburg, J Verbaarschot, T Wettig. Chiral condensate and Dirac spectrum of one-and two-flavor QCD at nonzero θ-angle. EPJ Web of Conferences, 175, 04004, 2018. doi: 10.1051/epjconf/201817504004.

  • M. Kieburg. Additive Matrix Convolutions of Pólya Ensembles and Polynomial Ensembles. arXiv.org, 2017.

  • M. Kieburg, Holger Kosters, Yanik-Pascal Forster. Polynomial Ensembles and Polya Frequency Functions. arXiv.org, 2017.

  • M. Kieburg, TR Würfel. Shift of symmetries of naive and staggered fermions in QCD-like lattice theories. Physical Review D, 96, 2017. doi: 10.1103/PhysRevD.96.034502.

  • T Wirtz, M. Kieburg, T Guhr. Asymptotic coincidence of the statistics for degenerate and non-degenerate correlated real Wishart ensembles. Journal of Physics A: Mathematical and Theoretical, 50, 235203, 2017. doi: 10.1088/1751-8121/aa6a6c.

  • M. Kieburg, Holger Kösters. Exact relation between singular value and eigenvalue statistics. Random Matrices: Theory and Applications, 05, 1650015, 2016. doi: 10.1142/s2010326316500155.

  • G Akemann, T Checinski, M. Kieburg. Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances. Journal of Physics A: Mathematical and Theoretical, 49, 315201, 2016. doi: 10.1088/1751-8113/49/31/315201.

  • O Janssen, M. Kieburg, K Splittorff, JJM Verbaarschot, S Zafeiropoulos. Phase diagram of dynamical twisted-mass Wilson fermions at finite isospin chemical potential. Physical Review D, 93, 2016. doi: 10.1103/PhysRevD.93.094502.

  • T Wirtz, D Waltner, M. Kieburg, S. Kumar. The Correlated Jacobi and the Correlated Cauchy–Lorentz Ensembles. Journal of Statistical Physics, 162, 495-521, 2016. doi: 10.1007/s10955-015-1416-5.

  • M. Kieburg, ABJ Kuijlaars, D Stivigny. Singular value statistics of matrix products with truncated unitary matrices. International Mathematics Research Notices, 2016, 3392-3424, 2016. doi: 10.1093/imrn/rnv242.

  • K Coulembier, M. Kieburg. Pizzetti Formulae for Stiefel Manifolds and Applications. Letters in Mathematical Physics, 105, 1333-1376, 2015. doi: 10.1007/s11005-015-0774-x.

  • M. Kieburg, Jacobus Verbaarschot, Savvas Zafeiropoulos. Discretization effects in $N_c=2$ QCD and Random Matrix Theory. ARISF, 2015.

  • M. Kieburg, JJM Verbaarschot, S Zafeiropoulos. Dirac spectrum of the Wilson-Dirac operator for QCD with two colors. Physical Review D - Particles, Fields, Gravitation and Cosmology, 92, 2015. doi: 10.1103/PhysRevD.92.045026.

  • T Wirtz, G Akemann, T Guhr, M. Kieburg, R Wegner. The smallest eigenvalue distribution in the real Wishart–Laguerre ensemble with even topology. Journal of Physics A: Mathematical and Theoretical, 48, 245202, 2015. doi: 10.1088/1751-8113/48/24/245202.

  • M. Kieburg. Supersymmetry for products of random matrices. Acta Physica Polonica B, 46, 1709-1728, 2015. doi: 10.5506/APhysPolB.46.1709.

  • G Akemann, T Guhr, M. Kieburg, R Wegner, T Wirtz. Erratum: Completing the picture for the smallest eigenvalue of real wishart matrices (Physical Review Letters (2014) 113 (250201)). Physical Review Letters, 114, 2015. doi: 10.1103/PhysRevLett.114.179901.

  • T Wirtz, M. Kieburg, T Guhr. Limiting statistics of the largest and smallest eigenvalues in the correlated Wishart model. EPL (Europhysics Letters), 109, 20005, 2015. doi: 10.1209/0295-5075/109/20005.

  • 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.

  • M. Kieburg, JJM Verbaarschot, S Zafeiropoulos. Intriguing relations between the LECs of Wilson χ-PT and spectra of the Wilson Dirac operator. Acta Physica Polonica B, Proceedings Supplement, 7, 625-630, 2014. doi: 10.5506/APhysPolBSupp.7.625.

  • M. Kieburg, K Splittorff, JJM Verbaarschot, S Zafeiropoulos. Phase Diagram of Wilson and Twisted Mass Fermions at finite isospin chemical potential. Proceedings of Science, Part F130500, 2014.

  • G Akemann, T Guhr, M. Kieburg, R Wegner, T Wirtz. Completing the picture for the smallest eigenvalue of real Wishart matrices. Physical Review Letters, 113, 2014. doi: 10.1103/PhysRevLett.113.250201.

  • M. Kieburg, JJM Verbaarschot, S Zafeiropoulos. Dirac spectra of two-dimensional QCD-like theories. Physical Review D - Particles, Fields, Gravitation and Cosmology, 90, 2014. doi: 10.1103/PhysRevD.90.085013.

  • G Akemann, Z Burda, M. Kieburg. Universal distribution of Lyapunov exponents for products of Ginibre matrices. Journal of Physics A: Mathematical and Theoretical, 47, 395202, 2014. doi: 10.1088/1751-8113/47/39/395202.

  • 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.

  • M. Kieburg, JJM Verbaarschot, S Zafeiropoulos. A classification of 2-dim lattice theory. Proceedings of Science, 29-July-2013, 2013.

  • M. Kieburg, K Splittorff, JJM Verbaarschot, S Zafeiropoulos. Discretization effects in the e domain of QCD. Proceedings of Science, 29-July-2013, 2013.

  • M. Kieburg, JJM Verbaarschot, S Zafeiropoulos. The effect of the low energy constants on the spectral properties of the wilson Dirac operator. Proceedings of Science, 29-July-2013, 2013.

  • J Bloch, F Bruckmann, M. Kieburg, K Splittorff, JJM Verbaarschot. Subsets of configurations and canonical partition functions. Physical Review D - Particles, Fields, Gravitation and Cosmology, 87, 2013. doi: 10.1103/PhysRevD.87.034510.

  • G Akemann, M. Kieburg, L Wei. Singular value correlation functions for products of Wishart random matrices. Journal of Physics A: Mathematical and Theoretical, 46, 275205, 2013. doi: 10.1088/1751-8113/46/27/275205.

  • M. Kieburg, JJM Verbaarschot, S Zafeiropoulos. Spectral properties of the Wilson-Dirac operator and random matrix theory. Physical Review D - Particles, Fields, Gravitation and Cosmology, 88, 2013. doi: 10.1103/PhysRevD.88.094502.

  • M. Kieburg, JJMM Verbaarschot, S Zafeiropoulos. Random matrix models for the hermitian wilson-dirac operator of QCD-like theories. Proceedings of Science, Part F130497, 2012.

  • M. Kieburg, JJM Verbaarschot, S Zafeiropoulos. Eigenvalue density of the non-Hermitian Wilson Dirac operator. Physical Review Letters, 108, 2012. doi: 10.1103/PhysRevLett.108.022001.

  • M. Kieburg. Surprising Pfaffian factorizations in random matrix theory with Dyson index β = 2. Journal of Physics A: Mathematical and Theoretical, 45, 095205, 2012. doi: 10.1088/1751-8113/45/9/095205.

  • M. Kieburg, K Splittorff, JJM Verbaarschot. Realization of the Sharpe-Singleton scenario. Physical Review D - Particles, Fields, Gravitation and Cosmology, 85, 2012. doi: 10.1103/PhysRevD.85.094011.

  • M. Kieburg. Mixing of orthogonal and skew-orthogonal polynomials and its relation to Wilson RMT. Journal of Physics A: Mathematical and Theoretical, 45, 205203, 2012. doi: 10.1088/1751-8113/45/20/205203.

  • C Recher, M. Kieburg, T Guhr, MR Zirnbauer. Supersymmetry Approach to Wishart Correlation Matrices: Exact Results. Journal of Statistical Physics, 148, 981-998, 2012. doi: 10.1007/s10955-012-0567-x.

  • M. Kieburg, JJM Verbaarschot, S Zafeiropoulos. Random matrix models for dirac operators at finite lattice spacing. Proceedings of Science, 139, 2011.

  • M. Kieburg. On the Efetov–Wegner terms by diagonalizing a Hermitian supermatrix. Journal of Physics A: Mathematical and Theoretical, 44, 285210, 2011. doi: 10.1088/1751-8113/44/28/285210.

  • M. Kieburg, Jacobus Verbaarschot, Savvas Zafeiropoulos. Random Matrix Models for Dirac Operators at finite Lattice Spacing. Proceedings of XXIX International Symposium on Lattice Field Theory — PoS(Lattice 2011), 2011. doi: 10.22323/1.139.0312.

  • M. Kieburg, T Guhr. Derivation of determinantal structures for random matrix ensembles in a new way. Journal of Physics A: Mathematical and Theoretical, 43, 075201, 2010. doi: 10.1088/1751-8113/43/7/075201.

  • M. Kieburg, T Guhr. A new approach to derive Pfaffian structures for random matrix ensembles. Journal of Physics A: Mathematical and Theoretical, 43, 135204, 2010. doi: 10.1088/1751-8113/43/13/135204.

  • G Akemann, M. Kieburg, MJ Phillips. Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices. Journal of Physics A: Mathematical and Theoretical, 43, 375207, 2010. doi: 10.1088/1751-8113/43/37/375207.

  • C Recher, M. Kieburg, T Guhr. Eigenvalue densities of real and complex wishart correlation matrices. Physical Review Letters, 105, 2010. doi: 10.1103/PhysRevLett.105.244101.

  • M. Kieburg. Supersymmetry in random matrix theory. 2010.

  • M. Kieburg, H Kohler, T Guhr. Integration of Grassmann variables over invariant functions on flat superspaces. Journal of Mathematical Physics, 50, 013528, 2009. doi: 10.1063/1.3049630.

  • M. Kieburg, HJ Sommers, T Guhr. A comparison of the superbosonization formula and the generalized Hubbard–Stratonovich transformation. Journal of Physics A: Mathematical and Theoretical, 42, 275206, 2009. doi: 10.1088/1751-8113/42/27/275206.

  • M. Kieburg, J Grönqvist, T Guhr. Arbitrary rotation invariant random matrix ensembles and supersymmetry: orthogonal and unitary-symplectic case. Journal of Physics A: Mathematical and Theoretical, 42, 275205, 2009. doi: 10.1088/1751-8113/42/27/275205.