M. Kieburg, M Lauritzen, BT Søgaard, K Splittorff. New term in effective field theory at fixed topology. Physical Review D, 103, 014501 (12pp), 2021. doi: 10.1103/PhysRevD.103.014501.
T Kanazawa, M. Kieburg, JJM Verbaarschot. Cascade of phase transitions in a planar Dirac material. Journal of High Energy Physics, 2021, 2021. doi: 10.1007/JHEP06(2021)015.
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 (12pp), 2020. doi: 10.1103/PhysRevE.101.032117.
Gernot Akemann, Zdzislaw Burda, M. Kieburg. Universality of local spectral statistics of products of random matrices.. Physical Review E, 102, 052134 (27pp), 2020. doi: 10.1103/PhysRevE.102.052134.
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, 074515 (21pp), 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 (14pp), 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 (6pp), arXiv.org, 2019.
M. Kieburg, Jacobus Verbaarschot, Takuya Kanazawa. Random matrix approach to three-dimensional QCD with a Chern-Simons term. 74 (41pp), arXiv.org, 2019.
M. Kieburg, Gernot Akemann, Giusi Alfano, Giuseppe Caire. Closed-form performance analysis of linear MIMO receivers in general fading scenarios. 58-64, 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 (7pp), 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 (51pp), 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.
Jiyuan Zhang, M. Kieburg, P. Forrester. Harmonic analysis for rank-1 Randomised Horn Problems. 2019.
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, 205 (43pp), 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 (6pp), 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.
M. Kieburg. SUPERSYMMETRY FOR PRODUCTS OF RANDOM MATRICES. Acta Physica Polonica, Series B: Elementary Particle Physics, Nuclear Physics, Statistical Physics, Theory of Relativity, Field Theory, 46, 1709-1728, 2015. doi: 10.5506/APhysPolB.46.1709.
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.