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161 Publications
2024 | Published | Thesis | IST-REx-ID: 17164 | 
Reker J. 2024. Central limit theorems for random matrices: From resolvents to free probability. Institute of Science and Technology Austria.
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2024 | Published | Journal Article | IST-REx-ID: 18554 |
Erdös L, Riabov V. 2024. Eigenstate Thermalization Hypothesis for Wigner-type matrices. Communications in Mathematical Physics. 405(12), 282.
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2024 | Draft | Preprint | IST-REx-ID: 19547 |
Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices. arXiv, 10.48550/arXiv.2410.06813.
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2023 | Published | Journal Article | IST-REx-ID: 11741 |
Cipolloni G, Erdös L, Schröder DJ. 2023. Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. 185, 1183–1218.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12761 |
Cipolloni G, Erdös L, Schröder DJ. 2023. Functional central limit theorems for Wigner matrices. Annals of Applied Probability. 33(1), 447–489.
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2023 | Published | Journal Article | IST-REx-ID: 12707 |
Erdös L, Xu Y. 2023. Small deviation estimates for the largest eigenvalue of Wigner matrices. Bernoulli. 29(2), 1063–1079.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12792 |
Cipolloni G, Erdös L, Schröder DJ. 2023. On the spectral form factor for random matrices. Communications in Mathematical Physics. 401, 1665–1700.
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2023 | Published | Journal Article | IST-REx-ID: 14775 |
Schnelli K, Xu Y. 2023. Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices. The Annals of Applied Probability. 33(1), 677–725.
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2023 | Published | Journal Article | IST-REx-ID: 12683 |
Dubach G, Erdös L. 2023. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 28, 1–13.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 10405 |
Cipolloni G, Erdös L, Schröder DJ. 2023. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 76(5), 946–1034.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14343 |
Cipolloni G, Erdös L, Henheik SJ, Kolupaiev O. 2023. Gaussian fluctuations in the equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. 11, e74.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14421 |
Henheik SJ, Tumulka R. 2023. Creation rate of Dirac particles at a point source. Journal of Physics A: Mathematical and Theoretical. 56(44), 445201.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14780 |
Ding X, Ji HC. 2023. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 163, 25–60.
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| arXiv
2023 | Draft | Preprint | IST-REx-ID: 17173 |
Reker J. Multi-point functional central limit theorem for Wigner Matrices. arXiv, 2307.11028.
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2023 | Published | Journal Article | IST-REx-ID: 14667 |
Erdös L, Ji HC. 2023. Functional CLT for non-Hermitian random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 59(4), 2083–2105.
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2023 | Published | Journal Article | IST-REx-ID: 14750 |
Ding X, Ji HC. 2023. Local laws for multiplication of random matrices. The Annals of Applied Probability. 33(4), 2981–3009.
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2023 | Published | Journal Article | IST-REx-ID: 14849 |
Cipolloni G, Erdös L, Schröder DJ, Xu Y. 2023. On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. 51(6), 2192–2242.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 17079 |
Serebryakov A, Simm N, Dubach G. 2023. Characteristic polynomials of random truncations: Moments, duality and asymptotics. Random Matrices: Theory and Applications. 12(01), 2250049.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13317 |
Sugimoto S, Henheik SJ, Riabov V, Erdös L. 2023. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 190(7), 128.
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| arXiv
2023 | Draft | Preprint | IST-REx-ID: 17174 |
Erdös L, Henheik SJ, Reker J, Riabov V. Prethermalization for deformed Wigner Matrices. arXiv, 2310.06677.
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