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154 Publications
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19737 | 
Cipolloni, Giorgio, et al. “Non–Hermitian Spectral Universality at Critical Points.” Probability Theory and Related Fields, 050603, Springer Nature, 2025, doi:10.1007/s00440-025-01384-7.
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2025 | Published | Thesis | IST-REx-ID: 19540 |
Henheik, Sven Joscha. Modeling Complex Quantum Systems : Random Matrices, BCS Theory, and Quantum Lattice Systems. Institute of Science and Technology Austria, 2025, doi:10.15479/AT-ISTA-19540.
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2025 | Published | Journal Article | IST-REx-ID: 18764 |
Erdös, László, et al. “Prethermalization for Deformed Wigner Matrices.” Annales Henri Poincare, vol. 26, Springer Nature, 2025, pp. 1991–2033, doi:10.1007/s00023-024-01518-y.
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2024 | Published | Journal Article | IST-REx-ID: 13975 |
Campbell, Andrew J., and Sean O’Rourke. “Spectrum of Lévy–Khintchine Random Laplacian Matrices.” Journal of Theoretical Probability, vol. 37, Springer Nature, 2024, pp. 933–73, doi:10.1007/s10959-023-01275-4.
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2024 | Published | Journal Article | IST-REx-ID: 17281 |
Campbell, Andrew J., et al. “The Fractional Free Convolution of R-Diagonal Elements and Random Polynomials under Repeated Differentiation.” International Mathematics Research Notices, vol. 2024, no. 13, Oxford University Press, 2024, pp. 10189–218, doi:10.1093/imrn/rnae062.
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2024 | Published | Journal Article | IST-REx-ID: 15378 |
Erdös, László, and Hong Chang Ji. “Wegner Estimate and Upper Bound on the Eigenvalue Condition Number of Non-Hermitian Random Matrices.” Communications on Pure and Applied Mathematics, vol. 77, no. 9, Wiley, 2024, pp. 3785–840, doi:10.1002/cpa.22201.
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2024 | Published | Journal Article | IST-REx-ID: 18762 |
Reker, Jana. “Multi-Point Functional Central Limit Theorem for Wigner Matrices.” Electronic Journal of Probability, vol. 29, 191, Institute of Mathematical Statistics, 2024, doi:10.1214/24-EJP1247.
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2024 | Published | Journal Article | IST-REx-ID: 14408 |
Cipolloni, Giorgio, et al. “Mesoscopic Central Limit Theorem for Non-Hermitian Random Matrices.” Probability Theory and Related Fields, vol. 188, Springer Nature, 2024, pp. 1131–82, doi:10.1007/s00440-023-01229-1.
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2024 | Published | Journal Article | IST-REx-ID: 17375 |
Cipolloni, Giorgio, et al. “Precise Asymptotics for the Spectral Radius of a Large Random Matrix.” Journal of Mathematical Physics, vol. 65, no. 6, 063302, AIP Publishing, 2024, doi:10.1063/5.0209705.
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2024 | Published | Journal Article | IST-REx-ID: 15025 |
Erdös, László, and Benjamin McKenna. “Extremal Statistics of Quadratic Forms of GOE/GUE Eigenvectors.” Annals of Applied Probability, vol. 34, no. 1B, Institute of Mathematical Statistics, 2024, pp. 1623–62, doi:10.1214/23-AAP2000.
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2024 | Published | Journal Article | IST-REx-ID: 17154 |
Reker, Jana. “Fluctuation Moments for Regular Functions of Wigner Matrices.” Mathematical Physics, Analysis and Geometry, vol. 27, no. 3, 10, Springer Nature, 2024, doi:10.1007/s11040-024-09483-y.
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2024 | Published | Journal Article | IST-REx-ID: 17047 |
Dubach, Guillaume, and Jana Reker. “Dynamics of a Rank-One Multiplicative Perturbation of a Unitary Matrix.” Random Matrices: Theory and Applications, vol. 13, no. 2, 2450007, World Scientific Publishing, 2024, doi:10.1142/s2010326324500072.
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2024 | Published | Journal Article | IST-REx-ID: 18554 |
Erdös, László, and Volodymyr Riabov. “Eigenstate Thermalization Hypothesis for Wigner-Type Matrices.” Communications in Mathematical Physics, vol. 405, no. 12, 282, Springer Nature, 2024, doi:10.1007/s00220-024-05143-y.
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2024 | Draft | Preprint | IST-REx-ID: 19550 |
Henheik, Sven Joscha, Multi-band superconductors have enhanced critical temperatures. arXiv. 2024
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2024 | Published | Journal Article | IST-REx-ID: 18656 |
Cipolloni, Giorgio, et al. “Out-of-Time-Ordered Correlators for Wigner Matrices.” Advances in Theoretical and Mathematical Physics, vol. 28, no. 6, International Press, 2024, pp. 2025–83, doi:10.4310/ATMP.241031013250.
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2024 | Draft | Preprint | IST-REx-ID: 19545 |
Cipolloni, Giorgio, Eigenstate thermalisation at the edge for Wigner matrices. arXiv. 2024
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2024 | Draft | Preprint | IST-REx-ID: 19547 |
Erdös, László, Cusp universality for correlated random matrices. arXiv. 2024
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2024 | Draft | Preprint | IST-REx-ID: 19551 |
Henheik, Sven Joscha, Response theory for locally gapped systems. arXiv. 2024
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2024 | Published | Journal Article | IST-REx-ID: 14542 |
Henheik, Sven Joscha, et al. “Universality in Low-Dimensional BCS Theory.” Reviews in Mathematical Physics, vol. 36, no. 9, 2360005, World Scientific Publishing, 2024, doi:10.1142/s0129055x2360005x.
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2024 | Published | Thesis | IST-REx-ID: 17164 |
Reker, Jana. Central Limit Theorems for Random Matrices: From Resolvents to Free Probability. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:17164.
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