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154 Publications
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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2024 | Published | Journal Article | IST-REx-ID: 17049 |
Cipolloni, Giorgio, et al. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” Journal of Functional Analysis, vol. 287, no. 4, 110495, Elsevier, 2024, doi:10.1016/j.jfa.2024.110495.
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2023 | Published | Journal Article | IST-REx-ID: 11741 |
Cipolloni, Giorgio, et al. “Quenched Universality for Deformed Wigner Matrices.” Probability Theory and Related Fields, vol. 185, Springer Nature, 2023, pp. 1183–1218, doi:10.1007/s00440-022-01156-7.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 17079 |
Serebryakov, Alexander, et al. “Characteristic Polynomials of Random Truncations: Moments, Duality and Asymptotics.” Random Matrices: Theory and Applications, vol. 12, no. 01, 2250049, World Scientific Publishing, 2023, doi:10.1142/s2010326322500496.
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2023 | Published | Journal Article | IST-REx-ID: 12761 |
Cipolloni, Giorgio, et al. “Functional Central Limit Theorems for Wigner Matrices.” Annals of Applied Probability, vol. 33, no. 1, Institute of Mathematical Statistics, 2023, pp. 447–89, doi:10.1214/22-AAP1820.
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2023 | Published | Journal Article | IST-REx-ID: 12707 |
Erdös, László, and Yuanyuan Xu. “Small Deviation Estimates for the Largest Eigenvalue of Wigner Matrices.” Bernoulli, vol. 29, no. 2, Bernoulli Society for Mathematical Statistics and Probability, 2023, pp. 1063–79, doi:10.3150/22-BEJ1490.
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