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160 Publications
2024 | Published | Journal Article | IST-REx-ID: 14408 | 
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Mesoscopic Central Limit Theorem for Non-Hermitian Random Matrices.” Probability Theory and Related Fields. Springer Nature, 2024. https://doi.org/10.1007/s00440-023-01229-1.
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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. Institute of Mathematical Statistics, 2024. https://doi.org/10.1214/23-AAP2000.
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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. Wiley, 2024. https://doi.org/10.1002/cpa.22201.
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2024 | Published | Journal Article | IST-REx-ID: 17049 |
Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Dominik J Schröder. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110495.
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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. World Scientific Publishing, 2024. https://doi.org/10.1142/s2010326324500072.
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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. Springer Nature, 2024. https://doi.org/10.1007/s11040-024-09483-y.
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2024 | Published | Journal Article | IST-REx-ID: 17281 |
Campbell, Andrew J, Sean O’Rourke, and David T Renfrew. “The Fractional Free Convolution of R-Diagonal Elements and Random Polynomials under Repeated Differentiation.” International Mathematics Research Notices. Oxford University Press, 2024. https://doi.org/10.1093/imrn/rnae062.
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2024 | Published | Journal Article | IST-REx-ID: 17375 |
Cipolloni, Giorgio, László Erdös, and Yuanyuan Xu. “Precise Asymptotics for the Spectral Radius of a Large Random Matrix.” Journal of Mathematical Physics. AIP Publishing, 2024. https://doi.org/10.1063/5.0209705.
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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. Institute of Mathematical Statistics, 2024. https://doi.org/10.1214/24-EJP1247.
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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. https://doi.org/10.15479/at:ista:17164.
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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. Springer Nature, 2024. https://doi.org/10.1007/s00220-024-05143-y.
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2024 | Draft | Preprint | IST-REx-ID: 19547 |
Erdös, László, Sven Joscha Henheik, and Volodymyr Riabov. “Cusp Universality for Correlated Random Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.06813.
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2023 | Published | Journal Article | IST-REx-ID: 11741 |
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Quenched Universality for Deformed Wigner Matrices.” Probability Theory and Related Fields. Springer Nature, 2023. https://doi.org/10.1007/s00440-022-01156-7.
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2023 | Published | Journal Article | IST-REx-ID: 12761 |
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Functional Central Limit Theorems for Wigner Matrices.” Annals of Applied Probability. Institute of Mathematical Statistics, 2023. https://doi.org/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. Bernoulli Society for Mathematical Statistics and Probability, 2023. https://doi.org/10.3150/22-BEJ1490.
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2023 | Published | Journal Article | IST-REx-ID: 12792 |
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “On the Spectral Form Factor for Random Matrices.” Communications in Mathematical Physics. Springer Nature, 2023. https://doi.org/10.1007/s00220-023-04692-y.
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2023 | Published | Journal Article | IST-REx-ID: 14775 |
Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom Laws for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals of Applied Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/22-aap1826.
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2023 | Published | Journal Article | IST-REx-ID: 12683 |
Dubach, Guillaume, and László Erdös. “Dynamics of a Rank-One Perturbation of a Hermitian Matrix.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/23-ECP516.
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2023 | Published | Journal Article | IST-REx-ID: 10405 |
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Central Limit Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices.” Communications on Pure and Applied Mathematics. Wiley, 2023. https://doi.org/10.1002/cpa.22028.
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2023 | Published | Journal Article | IST-REx-ID: 14343 |
Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Oleksii Kolupaiev. “Gaussian Fluctuations in the Equipartition Principle for Wigner Matrices.” Forum of Mathematics, Sigma. Cambridge University Press, 2023. https://doi.org/10.1017/fms.2023.70.
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