130 Publikationen
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2025 | Preprint | Veröffentlicht | PUB-ID: 3002465Akemann, Gernot, Byun, Sung-Soo, and Lee, Yong-Woo. “The probability of almost all eigenvalues being real for the elliptic real Ginibre ensemble”. arXiv:2503.18310 (2025).PUB | Download (ext.) | arXiv
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2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3002461Akemann, Gernot, Balducci, Federico, Chenu, Aurélia, Päßler, Patricia, Roccati, Federico, and Shir, Ruth. “Two transitions in complex eigenvalue statistics: Hermiticity and integrability breaking”. Physical Review Research 7.1 (2025): 013098.PUB | PDF | DOI
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2025 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 3001359Akemann, Gernot, Aygün, Noah, Kieburg, Mario, and Päßler, Patricia. “Complex symmetric, self-dual, and Ginibre random matrices: Analytical results for three classes of bulk and edge statistics”. Journal of Physics A: Mathematical and Theoretical (2025).PUB | DOI
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2024 | Preprint | Veröffentlicht | PUB-ID: 3002464Akemann, Gernot, Duits, M., and Molag, L. D. “Fluctuations in Various Regimes of Non-Hermiticity and a Holographic Principle”. arXiv:2412.15854 (2024).PUB | Download (ext.) | arXiv
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2024 | Preprint | Veröffentlicht | PUB-ID: 3002463Akemann, Gernot, Byun, Sung-Soo, and Noda, Kohei. “Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble”. arXiv:2407.17935 (2024).PUB | Download (ext.) | arXiv
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2024 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2990004Akemann, Gernot, Chakarov, Nayden, Krüger, Oliver, Mielke, Adam, Ottensmann, Meinolf, and Päßler, Patricia. “Interactions between different birds of prey as a random point process”. Journal of Statistical Mechanics: Theory and Experiment 2024.5 (2024): 053501.PUB | PDF | DOI | WoS
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2023 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2981910Akemann, Gernot, Byun, Sung-Soo, Ebke, Markus, and Schehr, Gregory. “Universality in the number variance and counting statistics of the real and symplectic Ginibre ensemble”. Journal of Physics A: Mathematical and Theoretical 56.49 (2023): 495202.PUB | PDF | DOI | WoS | arXiv
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2022 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2962695Akemann, Gernot, Gorski, Valentin, and Kieburg, M. “Consecutive level spacings in the chiral Gaussian unitary ensemble: from the hard and soft edge to the bulk”. Journal of Physics A: Mathematical and Theoretical 55.19 (2022): 194002.PUB | PDF | DOI | WoS | arXiv | Inspire
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2954313Akemann, Gernot, Ebke, Markus, and Parra Ferrada, Ivan. “Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels”. Communications in Mathematical Physics 389.1 (2021): 621–659.PUB | PDF | DOI | WoS | arXiv | Inspire
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2963771Akemann, Gernot, Mielke, Adam, and Päßler, Patricia. “Spacing distribution in the 2D Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at non-integer $β$”. Physical Review E 106.1 (2021): 014146.PUB | DOI | WoS | PubMed | Europe PMC | arXiv | Preprint
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2955377Akemann, Gernot, Götze, Friedrich, and Neuschel, Thorsten. “Characteristic polynomials of products of non-Hermitian Wigner matrices: finite-N results and Lyapunov universality”. Electronic Communications in Probability 26 (2021): 30.PUB | DOI | WoS | arXiv
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2021 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943775Akemann, Gernot, Baake, Michael, Chakarov, Nayden, Krüger, Oliver, Mielke, Adam, Ottensmann, Meinolf, and Werdehausen, Rebecca. “Territorial behaviour of buzzards versus random matrix spacing distributions”. Journal of Theoretical Biology 509 (2021): 110475.PUB | DOI | WoS | PubMed | Europe PMC | arXiv
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2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2943776Akemann, Gernot, Strahov, Eugene, and Würfel, Tim Robert. “Averages of products and ratios of characteristic polynomials in polynomial ensembles”. Annales Henri Poincaré: A Journal of Theoretical and Mathematical Physics 21 (2020): 3973–4002.PUB | PDF | DOI | Download (ext.) | WoS | arXiv
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2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2945599Akemann, Gernot, Tribe, Roger, Tsareas, Athanasios, and Zaboronski, Oleg. “On the determinantal structure of conditional overlaps for the complex Ginibre ensemble”. Random Matrices: Theory and Applications 9.4 (2020): 2050015.PUB | DOI | WoS | arXiv
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2020 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2942734Nagao, Taro, Akemann, Gernot, Kieburg, Mario, and Parra, Ivan. “Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality”. Journal of Physics A, Mathematical and Theoretical 53.7 (2020): 075201.PUB | DOI | WoS | arXiv
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2020 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 2945847Akemann, Gernot, Tribe, Roger, Tsareas, Athanasios, and Zaboronski, Oleg. “Determinantal Structure and Bulk Universality of Conditional Overlaps in the Complex Ginibre Ensemble”. Acta Physica Polonica B 51.7 (2020): 1611-1626.PUB | DOI | WoS | arXiv
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2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2939931Akemann, Gernot, Kieburg, Mario, Mielke, Adam, and Prosen, Tomaz. “Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems”. Physical Review Letters 123.25 (2019): 254101.PUB | DOI | WoS | PubMed | Europe PMC | arXiv
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2019 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2934131Akemann, Gernot, Kieburg, Mario, Mielke, Adam, and Vidal, Pedro. “Preserving topology while breaking chirality: from chiral orthogonal to anti-symmetric Hermitian ensemble”. Journal of Statistical Mechanics: Theory and Experiment 2019.2 (2019): 023102.PUB | DOI | WoS | arXiv
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2018 | Zeitschriftenaufsatz | Angenommen | PUB-ID: 2913286Akemann, Gernot, Checinski, Tomasz, Liu, Dang-Zheng, and Strahov, Eugene. “Finite rank perturbations in products of coupled random matrices: From one correlated to two Wishart ensembles”. Annales de l’Institut Henri Poincaré. B, Probability and statistics 55.1 (Accepted): 441-479.PUB | DOI | WoS | arXiv
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2017 | Sammelwerksbeitrag | Veröffentlicht | PUB-ID: 2905169Akemann, Gernot. “Random Matrix Theory and Quantum Chromodynamics”. Stochastic processes and random matrices : Lecture notes of the Les Houches Summer School, Volume 104, 6th-31st July 2015. Ed. Grégory Schehr, Alexander Altland, Yan V. Fyodorov, Neil O'Connell,, and Leticia F. Cugliandolo. Oxford: Oxford Univ. Press, 2017. 228-282.PUB | arXiv | Inspire
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2016 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2905142Akemann, Gernot, Checinski, Tomasz, and Kieburg, Mario. “Spectral correlation functions of the sum of two independent complex Wishart matrices with unequal covariances”. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 49.31 (2016): 315201.PUB | DOI | WoS | arXiv
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2015 | Zeitschriftenaufsatz | PUB-ID: 2732195Wirtz, Tim, Akemann, Gernot, Guhr, Thomas, Kieburg, Mario, and Wegner, René Florin. “The Smallest Eigenvalue Distribution in the Real Wishart-Laguerre Ensemble with Even Topology”. Journal of Physics A: Mathematical and Theoretical 48.24 (2015): 245202.PUB | DOI | WoS | arXiv | Inspire
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2648813Akemann, Gernot, Burda, Zdzislaw, Kieburg, Mario, and Nagao, Taro. “Universal microscopic correlation functions for products of truncated unitary matrices”. Journal of Physics: A Mathematical and Theoretical 47.25 (2014): 255202.PUB | DOI | WoS | arXiv
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2683742Akemann, Gernot, Burda, Zdzislaw, and Kieburg, Mario. “Universal distribution of Lyapunov exponents for products of Ginibre matrices”. Journal of Physics A: Mathematical and Theoretical 47.39 (2014): 395202.PUB | DOI | WoS | arXiv | Inspire
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2014 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 2696621Akemann, Gernot, Guhr, T., Kieburg, Mario, Wegner, R., and Wirtz, T. “Completing the picture for the smallest eigenvalue of real Wishart matrices”. Physical Review Letters 113.5 (2014): 250201.PUB | DOI | WoS | PubMed | Europe PMC | arXiv | Inspire
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2011 | Herausgeber*in Sammelwerk | Veröffentlicht | PUB-ID: 2316552Gernot Akemann, Jinho Baik, and Philippe Di Francesco, eds. The Oxford Handbook of Random Matrix Theory. Oxford: Oxford University Press, 2011.PUB
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2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1978575Akemann, Gernot, Bloch, J., Shifrin, L., and Wettig, T. “Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential”. Phys.Rev.Lett. 100.3 (2008): 32002.PUB | DOI | WoS | PubMed | Europe PMC | arXiv | Inspire
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2008 | Zeitschriftenaufsatz | Veröffentlicht | PUB-ID: 1978482Abul-Magd, A. Y., Akemann, Gernot, and Vivo, P. “Superstatistical generalizations of Wishart-Laguerre ensembles of random matrices”. Journal of Physics, A: Mathematical and Theoretical 42.17 (2008): 175207.PUB | DOI | WoS | arXiv | Inspire
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2005 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1978380Akemann, Gernot, Bittner, Elmar, Lombardo, Maria-Paola, Markum, Harald, and Pullirsch, Rainer. “Density profiles of small Dirac operator eigenvalues for two color QCD at nonzero chemical potential compared to matrix models”. Nuclear Physics B - Proceedings Supplements. Elsevier BV, 2005.Vol. 140. Nucl.Phys.Proc.Suppl. 568-570.PUB | DOI | WoS | arXiv
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2001 | Konferenzbeitrag | Veröffentlicht | PUB-ID: 1978487Akemann, Gernot, and Kanzieper, E. “Spectra of massive QCD Dirac Operators from Random Matrix Theory: all three chiral symmetry breaking patterns”. Nuclear Physics B - Proceedings Supplements. Elsevier BV, 2001.Vol. 94. Nucl.Phys.Proc.Suppl. 681-684.PUB | DOI | WoS | arXiv
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