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158 Publications
2024 | Draft | Preprint | IST-REx-ID: 19551 | 
S. J. Henheik and T. Wessel, “Response theory for locally gapped systems,” arXiv. .
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2024 | Draft | Preprint | IST-REx-ID: 19550 |
S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors have enhanced critical temperatures,” arXiv. .
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2024 | Published | Journal Article | IST-REx-ID: 14542 |
S. J. Henheik, A. B. Lauritsen, and B. Roos, “Universality in low-dimensional BCS theory,” Reviews in Mathematical Physics, vol. 36, no. 9. World Scientific Publishing, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 14408 |
G. Cipolloni, L. Erdös, and D. J. Schröder, “Mesoscopic central limit theorem for non-Hermitian random matrices,” Probability Theory and Related Fields, vol. 188. Springer Nature, pp. 1131–1182, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 15025 |
L. Erdös and B. McKenna, “Extremal statistics of quadratic forms of GOE/GUE eigenvectors,” Annals of Applied Probability, vol. 34, no. 1B. Institute of Mathematical Statistics, pp. 1623–1662, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 15378 |
L. Erdös and H. C. Ji, “Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices,” Communications on Pure and Applied Mathematics, vol. 77, no. 9. Wiley, pp. 3785–3840, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 17049 |
G. Cipolloni, L. Erdös, S. J. Henheik, and D. J. Schröder, “Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices,” Journal of Functional Analysis, vol. 287, no. 4. Elsevier, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 17047 |
G. Dubach and J. Reker, “Dynamics of a rank-one multiplicative perturbation of a unitary matrix,” Random Matrices: Theory and Applications, vol. 13, no. 2. World Scientific Publishing, 2024.
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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: 17154 |
J. Reker, “Fluctuation moments for regular functions of Wigner Matrices,” Mathematical Physics, Analysis and Geometry, vol. 27, no. 3. Springer Nature, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 17281 |
A. J. Campbell, S. O’Rourke, and D. T. Renfrew, “The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation,” International Mathematics Research Notices, vol. 2024, no. 13. Oxford University Press, pp. 10189–10218, 2024.
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2024 | Published | Journal Article | IST-REx-ID: 17375 |
G. Cipolloni, L. Erdös, and Y. Xu, “Precise asymptotics for the spectral radius of a large random matrix,” Journal of Mathematical Physics, vol. 65, no. 6. AIP Publishing, 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 | Published | Journal Article | IST-REx-ID: 18762 |
J. Reker, “Multi-point functional central limit theorem for Wigner matrices,” Electronic Journal of Probability, vol. 29. Institute of Mathematical Statistics, 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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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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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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