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161 Publications
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19737 | 
Cipolloni, G., Erdös, L., & Ji, H. C. (2025). Non–Hermitian spectral universality at critical points. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-025-01384-7
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2025 | Published | Journal Article | IST-REx-ID: 20046 |
Campbell, A. J., Luh, K., O’Rourke, S., Arenas-Velilla, S., & Perez-Abreu, V. (2025). Extreme eigenvalues of Laplacian random matrices with Gaussian entries. Electronic Journal of Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/25-ejp1366
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2025 | Published | Thesis | IST-REx-ID: 19540 |
Henheik, S. J. (2025). Modeling complex quantum systems : Random matrices, BCS theory, and quantum lattice systems. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-19540
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2025 | Published | Journal Article | IST-REx-ID: 20322 |
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Erdös, L., Henheik, S. J., & Riabov, V. (2025). Cusp universality for correlated random matrices. Communications in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s00220-025-05417-z
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| arXiv
2025 | Published | Journal Article | IST-REx-ID: 18764 |
Erdös, L., Henheik, S. J., Reker, J., & Riabov, V. (2025). Prethermalization for deformed Wigner matrices. Annales Henri Poincare. Springer Nature. https://doi.org/10.1007/s00023-024-01518-y
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| arXiv
2025 | Draft | Preprint | IST-REx-ID: 20576 |
Erdös, L., & Riabov, V. (n.d.). The zigzag strategy for random band matrices. arXiv. https://doi.org/10.48550/ARXIV.2506.06441
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20478 |
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Bao, Z., Cipolloni, G., Erdös, L., Henheik, S. J., & Kolupaiev, O. (2025). Decorrelation transition in the Wigner minor process. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-025-01422-4
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2025 | Published | Thesis | IST-REx-ID: 20575 |
Riabov, V. (2025). Universality in random matrices with spatial structure. Institute of Science and Technology Austria. https://doi.org/10.15479/AT-ISTA-20575
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2025 | Published | Journal Article | IST-REx-ID: 19598 |
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Riabov, V. (2025). Linear Eigenvalue statistics at the cusp. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-025-01373-w
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20925 |
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Erdös, L., Henheik, S. J., & Vogel, C. (2025). Normal typicality and dynamical typicality for a random block-band matrix model. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-025-02037-5
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2024 | Published | Journal Article | IST-REx-ID: 13975 |
Campbell, A. J., & O’Rourke, S. (2024). Spectrum of Lévy–Khintchine random laplacian matrices. Journal of Theoretical Probability. Springer Nature. https://doi.org/10.1007/s10959-023-01275-4
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| arXiv
2024 | Published | Journal Article | IST-REx-ID: 18656 |
Cipolloni, G., Erdös, L., & Henheik, S. J. (2024). Out-of-time-ordered correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics. International Press. https://doi.org/10.4310/ATMP.241031013250
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2024 | Draft | Preprint | IST-REx-ID: 19545 |
Cipolloni, G., Erdös, L., & Henheik, S. J. (n.d.). Eigenstate thermalisation at the edge for Wigner matrices. arXiv. https://doi.org/10.48550/arXiv.2309.05488
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2024 | Draft | Preprint | IST-REx-ID: 19551 |
Henheik, S. J., & Wessel, T. (n.d.). Response theory for locally gapped systems. arXiv. https://doi.org/10.48550/arXiv.2410.10809
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2024 | Draft | Preprint | IST-REx-ID: 19550 |
Henheik, S. J., Langmann, E., & Lauritsen, A. B. (n.d.). Multi-band superconductors have enhanced critical temperatures. arXiv. https://doi.org/10.48550/arXiv.2409.17297
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| arXiv
2024 | Published | Journal Article | IST-REx-ID: 14542 |
Henheik, S. J., Lauritsen, A. B., & Roos, B. (2024). Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x2360005x
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2024 | Published | Journal Article | IST-REx-ID: 14408 |
Cipolloni, G., Erdös, L., & Schröder, D. J. (2024). Mesoscopic central limit theorem for non-Hermitian random matrices. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-023-01229-1
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2024 | Published | Journal Article | IST-REx-ID: 15025 |
Erdös, L., & McKenna, B. (2024). Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/23-AAP2000
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2024 | Published | Journal Article | IST-REx-ID: 15378 |
Erdös, L., & Ji, H. C. (2024). Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. Wiley. https://doi.org/10.1002/cpa.22201
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2024 | Published | Journal Article | IST-REx-ID: 17049 |
Cipolloni, G., Erdös, L., Henheik, S. J., & Schröder, D. J. (2024). Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110495
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