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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. https://doi.org/10.15479/at:ista:17164
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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. Springer Nature. https://doi.org/10.1007/s00220-024-05143-y
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2024 | Draft | Preprint | IST-REx-ID: 19547 |
Erdös, L., Henheik, S. J., & Riabov, V. (n.d.). Cusp universality for correlated random matrices. arXiv. https://doi.org/10.48550/arXiv.2410.06813
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2023 | Published | Journal Article | IST-REx-ID: 11741 |
Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-022-01156-7
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12761 |
Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). Functional central limit theorems for Wigner matrices. Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/22-AAP1820
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12707 |
Erdös, L., & Xu, Y. (2023). Small deviation estimates for the largest eigenvalue of Wigner matrices. Bernoulli. Bernoulli Society for Mathematical Statistics and Probability. https://doi.org/10.3150/22-BEJ1490
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12792 |
Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). On the spectral form factor for random matrices. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-023-04692-y
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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. Institute of Mathematical Statistics. https://doi.org/10.1214/22-aap1826
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| arXiv
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. Institute of Mathematical Statistics. https://doi.org/10.1214/23-ECP516
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 10405 |
Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.22028
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14343 |
Cipolloni, G., Erdös, L., Henheik, S. J., & Kolupaiev, O. (2023). Gaussian fluctuations in the equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2023.70
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14421 |
Henheik, S. J., & Tumulka, R. (2023). Creation rate of Dirac particles at a point source. Journal of Physics A: Mathematical and Theoretical. IOP Publishing. https://doi.org/10.1088/1751-8121/acfe62
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14780 |
Ding, X., & Ji, H. C. (2023). Spiked multiplicative random matrices and principal components. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2023.05.009
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| arXiv
2023 | Draft | Preprint | IST-REx-ID: 17173 |
Reker, J. (n.d.). Multi-point functional central limit theorem for Wigner Matrices. arXiv. https://doi.org/10.48550/arXiv.2307.11028
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2023 | Published | Journal Article | IST-REx-ID: 14667 |
Erdös, L., & Ji, H. C. (2023). Functional CLT for non-Hermitian random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/22-AIHP1304
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14750 |
Ding, X., & Ji, H. C. (2023). Local laws for multiplication of random matrices. The Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/22-aap1882
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14849 |
Cipolloni, G., Erdös, L., Schröder, D. J., & Xu, Y. (2023). On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/23-aop1643
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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. World Scientific Publishing. https://doi.org/10.1142/s2010326322500496
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13317 |
Sugimoto, S., Henheik, S. J., Riabov, V., & Erdös, L. (2023). Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-023-03132-4
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| arXiv
2023 | Draft | Preprint | IST-REx-ID: 17174 |
Erdös, L., Henheik, S. J., Reker, J., & Riabov, V. (n.d.). Prethermalization for deformed Wigner Matrices. arXiv. https://doi.org/10.48550/arXiv.2310.06677
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