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135 Publications
2024 |Published| Journal Article | IST-REx-ID: 15025 | 
Erdös L, McKenna B. Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Annals of Applied Probability. 2024;34(1B):1623-1662. doi:10.1214/23-AAP2000
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2024 |Epub ahead of print| Journal Article | IST-REx-ID: 15378 |
Erdös L, Ji HC. Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 2024. doi:10.1002/cpa.22201
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2024 |In Press| Journal Article | IST-REx-ID: 17049 |
Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 287(4). doi:10.1016/j.jfa.2024.110495
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2024 |Published| Thesis | IST-REx-ID: 17164 |
Reker J. Central limit theorems for random matrices: From resolvents to free probability. 2024. doi:10.15479/at:ista:17164
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2024 |Published| Journal Article | IST-REx-ID: 17154 |
Reker J. Fluctuation moments for regular functions of Wigner Matrices. Mathematical Physics, Analysis and Geometry. 2024;27(3). doi:10.1007/s11040-024-09483-y
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2024 |Epub ahead of print| Journal Article | IST-REx-ID: 17047 |
Dubach G, Reker J. Dynamics of a rank-one multiplicative perturbation of a unitary matrix. Random Matrices: Theory and Applications. 2024. doi:10.1142/s2010326324500072
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2024 |Published| Journal Article | IST-REx-ID: 17281 |
Campbell AJ, O’Rourke S, Renfrew DT. The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation. International Mathematics Research Notices. 2024;2024(13):10189-10218. doi:10.1093/imrn/rnae062
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2024 |Published| Journal Article | IST-REx-ID: 13975 |
Campbell AJ, O’Rourke S. Spectrum of Lévy–Khintchine random laplacian matrices. Journal of Theoretical Probability. 2024;37:933-973. doi:10.1007/s10959-023-01275-4
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2024 |Published| Journal Article | IST-REx-ID: 14408 |
Cipolloni G, Erdös L, Schröder DJ. Mesoscopic central limit theorem for non-Hermitian random matrices. Probability Theory and Related Fields. 2024;188:1131-1182. doi:10.1007/s00440-023-01229-1
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2024 |Published| Journal Article | IST-REx-ID: 17375 |
Cipolloni G, Erdös L, Xu Y. Precise asymptotics for the spectral radius of a large random matrix. Journal of Mathematical Physics. 2024;65(6). doi:10.1063/5.0209705
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2023 |Published| Journal Article | IST-REx-ID: 11741 |
Cipolloni G, Erdös L, Schröder DJ. Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. 2023;185:1183–1218. doi:10.1007/s00440-022-01156-7
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2023 |Published| Journal Article | IST-REx-ID: 10405 |
Cipolloni G, Erdös L, Schröder DJ. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 2023;76(5):946-1034. doi:10.1002/cpa.22028
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2023 |Published| Journal Article | IST-REx-ID: 12707 |
Erdös L, Xu Y. Small deviation estimates for the largest eigenvalue of Wigner matrices. Bernoulli. 2023;29(2):1063-1079. doi:10.3150/22-BEJ1490
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2023 |Published| Journal Article | IST-REx-ID: 12792 |
Cipolloni G, Erdös L, Schröder DJ. On the spectral form factor for random matrices. Communications in Mathematical Physics. 2023;401:1665-1700. doi:10.1007/s00220-023-04692-y
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2023 |Published| Journal Article | IST-REx-ID: 12683 |
Dubach G, Erdös L. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 2023;28:1-13. doi:10.1214/23-ECP516
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2023 |Published| Journal Article | IST-REx-ID: 12761 |
Cipolloni G, Erdös L, Schröder DJ. Functional central limit theorems for Wigner matrices. Annals of Applied Probability. 2023;33(1):447-489. doi:10.1214/22-AAP1820
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2023 |Published| Journal Article | IST-REx-ID: 14667 |
Erdös L, Ji HC. Functional CLT for non-Hermitian random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2023;59(4):2083-2105. doi:10.1214/22-AIHP1304
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2023 |Published| Journal Article | IST-REx-ID: 13317 |
Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 2023;190(7). doi:10.1007/s10955-023-03132-4
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2023 |Published| Journal Article | IST-REx-ID: 14343 |
Cipolloni G, Erdös L, Henheik SJ, Kolupaiev O. Gaussian fluctuations in the equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. 2023;11. doi:10.1017/fms.2023.70
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2023 |Published| Journal Article | IST-REx-ID: 14421 |
Henheik SJ, Tumulka R. Creation rate of Dirac particles at a point source. Journal of Physics A: Mathematical and Theoretical. 2023;56(44). doi:10.1088/1751-8121/acfe62
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