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161 Publications
2024 | Published | Thesis | IST-REx-ID: 17164 | 
J. Reker, “Central limit theorems for random matrices: From resolvents to free probability,” Institute of Science and Technology Austria, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 18554 |
L. Erdös and V. Riabov, “Eigenstate Thermalization Hypothesis for Wigner-type matrices,” Communications in Mathematical Physics, vol. 405, no. 12. Springer Nature, 2024.
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2024 | Draft | Preprint | IST-REx-ID: 19547 |
L. Erdös, S. J. Henheik, and V. Riabov, “Cusp universality for correlated random matrices,” arXiv. .
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2023 | Published | Journal Article | IST-REx-ID: 11741 |
G. Cipolloni, L. Erdös, and D. J. Schröder, “Quenched universality for deformed Wigner matrices,” Probability Theory and Related Fields, vol. 185. Springer Nature, pp. 1183–1218, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12761 |
G. Cipolloni, L. Erdös, and D. J. Schröder, “Functional central limit theorems for Wigner matrices,” Annals of Applied Probability, vol. 33, no. 1. Institute of Mathematical Statistics, pp. 447–489, 2023.
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2023 | Published | Journal Article | IST-REx-ID: 12707 |
L. Erdös and Y. Xu, “Small deviation estimates for the largest eigenvalue of Wigner matrices,” Bernoulli, vol. 29, no. 2. Bernoulli Society for Mathematical Statistics and Probability, pp. 1063–1079, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12792 |
G. Cipolloni, L. Erdös, and D. J. Schröder, “On the spectral form factor for random matrices,” Communications in Mathematical Physics, vol. 401. Springer Nature, pp. 1665–1700, 2023.
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2023 | Published | Journal Article | IST-REx-ID: 14775 |
K. Schnelli and Y. Xu, “Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices,” The Annals of Applied Probability, vol. 33, no. 1. Institute of Mathematical Statistics, pp. 677–725, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 12683 |
G. Dubach and L. Erdös, “Dynamics of a rank-one perturbation of a Hermitian matrix,” Electronic Communications in Probability, vol. 28. Institute of Mathematical Statistics, pp. 1–13, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 10405 |
G. Cipolloni, L. Erdös, and D. J. Schröder, “Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices,” Communications on Pure and Applied Mathematics, vol. 76, no. 5. Wiley, pp. 946–1034, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14343 |
G. Cipolloni, L. Erdös, S. J. Henheik, and O. Kolupaiev, “Gaussian fluctuations in the equipartition principle for Wigner matrices,” Forum of Mathematics, Sigma, vol. 11. Cambridge University Press, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14421 |
S. J. Henheik and R. Tumulka, “Creation rate of Dirac particles at a point source,” Journal of Physics A: Mathematical and Theoretical, vol. 56, no. 44. IOP Publishing, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14780 |
X. Ding and H. C. Ji, “Spiked multiplicative random matrices and principal components,” Stochastic Processes and their Applications, vol. 163. Elsevier, pp. 25–60, 2023.
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| arXiv
2023 | Draft | Preprint | IST-REx-ID: 17173 |
J. Reker, “Multi-point functional central limit theorem for Wigner Matrices,” arXiv. .
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2023 | Published | Journal Article | IST-REx-ID: 14667 |
L. Erdös and H. C. Ji, “Functional CLT for non-Hermitian random matrices,” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 59, no. 4. Institute of Mathematical Statistics, pp. 2083–2105, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14750 |
X. Ding and H. C. Ji, “Local laws for multiplication of random matrices,” The Annals of Applied Probability, vol. 33, no. 4. Institute of Mathematical Statistics, pp. 2981–3009, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 14849 |
G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “On the rightmost eigenvalue of non-Hermitian random matrices,” The Annals of Probability, vol. 51, no. 6. Institute of Mathematical Statistics, pp. 2192–2242, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 17079 |
A. Serebryakov, N. Simm, and G. Dubach, “Characteristic polynomials of random truncations: Moments, duality and asymptotics,” Random Matrices: Theory and Applications, vol. 12, no. 01. World Scientific Publishing, 2023.
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| arXiv
2023 | Published | Journal Article | IST-REx-ID: 13317 |
S. Sugimoto, S. J. Henheik, V. Riabov, and L. Erdös, “Eigenstate thermalisation hypothesis for translation invariant spin systems,” Journal of Statistical Physics, vol. 190, no. 7. Springer Nature, 2023.
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| arXiv
2023 | Draft | Preprint | IST-REx-ID: 17174 |
L. Erdös, S. J. Henheik, J. Reker, and V. Riabov, “Prethermalization for deformed Wigner Matrices,” arXiv. .
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