Mario Kieburg

Universal eigenvector correlations in quaternionic Ginibre ensembles

Gernot Akemann, Yanik-Pascal Forster, Mario Kieburg

Journal article  |  2020  |  Journal of Physics A: Mathematical and Theoretical

Universal distributions from non-Hermitian perturbation of zero modes.

M Kieburg, A Mielke, M Rud, K Splittorff

Journal article  |  2020  |  Physical Review E

Hermitian operators with exact zero modes subject to non-Hermitian perturbations are considered. Specific focus is on the distribu..

Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality

Taro Nagao, Gernot Akemann, Mario Kieburg, Ivan Parra

Reference Work  |  2020  |  Journal of Physics A: Mathematical and Theoretical

Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems

Gernot Akemann, Mario Kieburg, Adam Mielke, Tomaz Prosen

Reference Work  |  2019  |  Physical Review Letters

Random matrix approach to three-dimensional QCD with a Chern-Simons term

Takuya Kanazawa, Mario Kieburg, Jacobus JM Verbaarschot

Reference Work  |  2019  |  Journal of High Energy Physics

Multiplicative convolution of real asymmetric and real anti-symmetric matrices

Mario Kieburg, Peter J Forrester, Jesper R Ipsen

Journal article  |  2019  |  Advances in Pure and Applied Mathematics

Abstract The singular values of products of standard complex Gaussian random matrices, or sub-blocks of Haar distribut..

Universal broadening of zero modes: A general framework and identification.

M Kieburg, A Mielke, K Splittorff

Journal article  |  2019  |  Physical Review E

We consider the smallest eigenvalues of perturbed Hermitian operators with zero modes, either topological or system specific. To l..

Dirac spectrum and chiral condensate for QCD at fixed θ angle

M Kieburg, JJM Verbaarschot, T Wettig

Journal article  |  2019  |  Physical Review D

Preserving topology while breaking chirality: From chiral orthogonal to anti-symmetric Hermitian ensemble

G Akemann, M Kieburg, A Mielke, P Vidal

Journal article  |  2019  |  Journal of Statistical Mechanics: Theory and Experiment

Secrecy Rate of Cooperative MIMO in the Presence of a Location Constrained Eavesdropper

Z Zheng, ZJ Haas, M Kieburg

Journal article  |  2019  |  IEEE Transactions on Communications

Products of random matrices from polynomial ensembles

M Kieburg, H Kösters

Journal article  |  2019  |  Annales de l'Institut Henri Poincaré, Probabilités et Statistiques

Closed-form performance analysis of linear MIMO receivers in general fading scenarios

Mario Kieburg, Gernot Akemann, Giusi Alfano, Giuseppe Caire

Conference Proceedings  |  2019

From integrable to chaotic systems: Universal local statistics of Lyapunov exponents

Mario Kieburg, Burda Akemann, Zdzsilaw Burda

Journal article  |  2019  |  European Physics Letters

Additive matrix convolutions of Pólya ensembles and polynomial ensembles

M Kieburg

Journal article  |  2019  |  Random Matrices: Theory and Applications

Recently, subclasses of polynomial ensembles for additive and multiplicative matrix convolutions were identified which were called..

Eigenvalue and Eigenvector Statistics in Time Series Analysis

Mario Kieburg, Paolo Barucca, Alexander Ossipov

Reference Work  |  2019

Symmetry crossover protecting chirality in Dirac spectra

T Kanazawa, M Kieburg

Journal article  |  2018  |  Journal of High Energy Physics

GUE-chGUE transition preserving chirality at finite matrix size

Takuya Kanazawa, Mario Kieburg

Journal article  |  2018  |  Journal of Physics A: Mathematical and Theoretical

Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model.

Takuya Kanazawa, Mario Kieburg

Journal article  |  2018  |  Physical Review Letters

We consider a random matrix model which interpolates between the chiral Gaussian unitary ensemble and the Gaussian unitary ensembl..

Global Symmetries of Naive and Staggered Fermions in Arbitrary Dimensions

M Kieburg, TR Würfel

Conference Proceedings  |  2018  |  EPJ Web of Conferences

It is well-known that staggered fermions do not necessarily satisfy the same global symmetries as the continuum theory. We analyze..

Chiral condensate and Dirac spectrum of one-and two-flavor QCD at nonzero θ -angle

M Kieburg, J Verbaarschot, T Wettig

Conference Proceedings  |  2018  |  EPJ Web of Conferences

In previous work we showed that the chiral condensate of one-flavor QCD exhibits a Silver Blaze phenomenon when the quark mass cro..

Shift of symmetries of naive and staggered fermions in QCD-like lattice theories

M Kieburg, TR Würfel

Journal article  |  2017  |  Physical Review D

Asymptotic coincidence of the statistics for degenerate and non-degenerate correlated real Wishart ensembles

T Wirtz, M Kieburg, T Guhr

Journal article  |  2017  |  Journal of Physics A: Mathematical and Theoretical

Polynomial Ensembles and Polya Frequency Functions

Mario Kieburg, Holger Kosters, Yanik-Pascal Forster

Reference Work  |  2017

Exact relation between singular value and eigenvalue statistics

M Kieburg, H Kösters

Journal article  |  2016  |  Random Matrices: Theory and Applications

We use classical results from harmonic analysis on matrix spaces to investigate the relation between the joint densities of the si..

Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances

G Akemann, T Checinski, M Kieburg

Journal article  |  2016  |  Journal of Physics A: Mathematical and Theoretical

Phase diagram of dynamical twisted-mass Wilson fermions at finite isospin chemical potential

O Janssen, M Kieburg, K Splittorff, JJM Verbaarschot, S Zafeiropoulos

Journal article  |  2016  |  Physical Review D

Relating the Bures Measure to the Cauchy Two-Matrix Model

Peter J Forrester, Mario Kieburg

Journal article  |  2016  |  Communications in Mathematical Physics

The Correlated Jacobi and the Correlated Cauchy–Lorentz Ensembles

T Wirtz, D Waltner, M Kieburg, S Kumar

Journal article  |  2016  |  Journal of Statistical Physics

Singular value statistics of matrix products with truncated unitary matrices

M Kieburg, ABJ Kuijlaars, D Stivigny

Journal article  |  2016  |  International Mathematics Research Notices

Pizzetti Formulae for Stiefel Manifolds and Applications

K Coulembier, M Kieburg

Journal article  |  2015  |  Letters in Mathematical Physics

Dirac spectrum of the Wilson-Dirac operator for QCD with two colors

M Kieburg, JJM Verbaarschot, S Zafeiropoulos

Journal article  |  2015  |  Physical Review D

The smallest eigenvalue distribution in the real Wishart-Laguerre ensemble with even topology

T Wirtz, G Akemann, T Guhr, M Kieburg, R Wegner

Journal article  |  2015  |  Journal of Physics A: Mathematical and Theoretical

Erratum: Completing the picture for the smallest eigenvalue of real wishart matrices (Physical Review Letters (2014) 113 (250201))

G Akemann, T Guhr, M Kieburg, R Wegner, T Wirtz

Journal article  |  2015  |  Physical Review Letters

Limiting statistics of the largest and smallest eigenvalues in the correlated Wishart model

T Wirtz, M Kieburg, T Guhr

Journal article  |  2015  |  EPL (Europhysics Letters)

Supersymmetry for products of random matrices

M Kieburg

Conference Proceedings  |  2015  |  Acta Physica Polonica B

Discretization effects in $N_c=2$ QCD and Random Matrix Theory

Mario Kieburg, Jacobus Verbaarschot, Savvas Zafeiropoulos

Conference Proceedings  |  2015

Completing the picture for the smallest eigenvalue of real Wishart matrices

G Akemann, T Guhr, M Kieburg, R Wegner, T Wirtz

Journal article  |  2014  |  Physical Review Letters

Dirac spectra of two-dimensional QCD-like theories

M Kieburg, JJM Verbaarschot, S Zafeiropoulos

Journal article  |  2014  |  Physical Review D

Universal distribution of Lyapunov exponents for products of Ginibre matrices

G Akemann, Z Burda, M Kieburg

Journal article  |  2014  |  Journal of Physics A: Mathematical and Theoretical

The supersymmetry method for chiral random matrix theory with arbitrary rotation-invariant weights

V Kaymak, M Kieburg, T Guhr

Journal article  |  2014  |  Journal of Physics A: Mathematical and Theoretical

Weak commutation relations and eigenvalue statistics for products of rectangular random matrices

Jesper R Ipsen, Mario Kieburg

Journal article  |  2014  |  Phys. Rev. E

Universal microscopic correlation functions for products of truncated unitary matrices

G Akemann, Z Burda, M Kieburg, T Nagao

Journal article  |  2014  |  Journal of Physics A: Mathematical and Theoretical

Phase Diagram of Wilson and Twisted Mass Fermions at finite isospin chemical potential

M Kieburg, K Splittorff, JJM Verbaarschot, S Zafeiropoulos

Conference Proceedings  |  2014  |  Proceedings of Science

Intriguing relations between the LECs of Wilson χ-PT and spectra of the Wilson Dirac operator

M Kieburg, JJM Verbaarschot, S Zafeiropoulos

Journal article  |  2014  |  Acta Physica Polonica B Proceedings Supplement

Products of rectangular random matrices: Singular values and progressive scattering

Gernot Akemann, Jesper R Ipsen, Mario Kieburg

Journal article  |  2013  |  Phys. Rev. E

Spectral properties of the Wilson-Dirac operator and random matrix theory

M Kieburg, JJM Verbaarschot, S Zafeiropoulos

Journal article  |  2013  |  Physical Review D

Singular value correlation functions for products of Wishart random matrices

G Akemann, M Kieburg, L Wei

Journal article  |  2013  |  Journal of Physics A: Mathematical and Theoretical

Subsets of configurations and canonical partition functions

J Bloch, F Bruckmann, M Kieburg, K Splittorff, JJM Verbaarschot

Journal article  |  2013  |  Physical Review D

The effect of the low energy constants on the spectral properties of the wilson Dirac operator

M Kieburg, JJM Verbaarschot, S Zafeiropoulos

Conference Proceedings  |  2013  |  Proceedings of Science

Discretization effects in the e domain of QCD

M Kieburg, K Splittorff, JJM Verbaarschot, S Zafeiropoulos

Conference Proceedings  |  2013  |  Proceedings of Science

A classification of 2-dim lattice theory

M Kieburg, JJM Verbaarschot, S Zafeiropoulos

Conference Proceedings  |  2013  |  Proceedings of Science

Supersymmetry Approach to Wishart Correlation Matrices: Exact Results

C Recher, M Kieburg, T Guhr, MR Zirnbauer

Journal article  |  2012  |  Journal of Statistical Physics

Mixing of orthogonal and skew-orthogonal polynomials and its relation to Wilson RMT

M Kieburg

Journal article  |  2012  |  Journal of Physics A: Mathematical and Theoretical

Realization of the Sharpe-Singleton scenario

M Kieburg, K Splittorff, JJM Verbaarschot

Journal article  |  2012  |  Physical Review D

Surprising Pfaffian factorizations in random matrix theory with Dyson index β = 2

M Kieburg

Journal article  |  2012  |  Journal of Physics A: Mathematical and Theoretical

Eigenvalue density of the non-Hermitian Wilson Dirac operator

M Kieburg, JJM Verbaarschot, S Zafeiropoulos

Journal article  |  2012  |  Physical Review Letters

Random matrix models for the hermitian wilson-dirac operator of QCD-like theories

M Kieburg, JJMM Verbaarschot, S Zafeiropoulos

Conference Proceedings  |  2012  |  Proceedings of Science

On the Efetov-Wegner terms by diagonalizing a Hermitian supermatrix

M Kieburg

Journal article  |  2011  |  Journal of Physics A: Mathematical and Theoretical

Random matrix models for dirac operators at finite lattice spacing

M Kieburg, JJM Verbaarschot, S Zafeiropoulos

Conference Proceedings  |  2011  |  Proceedings of Science

Eigenvalue densities of real and complex wishart correlation matrices

C Recher, M Kieburg, T Guhr

Journal article  |  2010  |  Physical Review Letters

Skew-orthogonal Laguerre polynomials for chiral real asymmetric random matrices

G Akemann, M Kieburg, MJ Phillips

Journal article  |  2010  |  Journal of Physics A: Mathematical and Theoretical

A new approach to derive Pfaffian structures for random matrix ensembles

M Kieburg, T Guhr

Journal article  |  2010  |  Journal of Physics A: Mathematical and Theoretical

Derivation of determinantal structures for random matrix ensembles in a new way

M Kieburg, T Guhr

Journal article  |  2010  |  Journal of Physics A: Mathematical and Theoretical

Supersymmetry in random matrix theory

Mario Kieburg

Thesis / Dissertation  |  2010

A comparison of the superbosonization formula and the generalized Hubbard-Stratonovich transformation

M Kieburg, HJ Sommers, T Guhr

Journal article  |  2009  |  Journal of Physics A: Mathematical and Theoretical

Arbitrary rotation invariant random matrix ensembles and supersymmetry: Orthogonal and unitary-symplectic case

M Kieburg, J Grönqvist, T Guhr

Journal article  |  2009  |  Journal of Physics A: Mathematical and Theoretical

Integration of Grassmann variables over invariant functions on flat superspaces

M Kieburg, H Kohler, T Guhr

Journal article  |  2009  |  Journal of Mathematical Physics