Please note that ISTA Research Explorer no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
143 Publications
2025 | Published | Journal Article | IST-REx-ID: 19001 | 
Erdös L, Henheik SJ, Kolupaiev O. Loschmidt echo for deformed Wigner matrices. Letters in Mathematical Physics. 2025;115. doi:10.1007/s11005-025-01904-5
[Published Version]
View
| Files available
| DOI
| arXiv
2025 | Published | Journal Article | IST-REx-ID: 19039 |
Ji HC, Park J. Tracy-Widom limit for free sum of random matrices. The Annals of Probability. 2025;53(1):239-298. doi:10.1214/24-aop1705
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2025 | Published | Journal Article | IST-REx-ID: 18112 |
Henheik SJ. Deformational rigidity of integrable metrics on the torus. Ergodic Theory and Dynamical Systems. 2025;45(2):467-503. doi:10.1017/etds.2024.48
[Published Version]
View
| Files available
| DOI
| WoS
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 18880 |
Campbell AJ, Luh K, Margarint V. Rate of convergence in multiple SLE using random matrix theory. Random Matrices: Theory and Application. 2025. doi:10.1142/S201032632450028X
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2025 | Published | Journal Article | IST-REx-ID: 15128 |
Riabov V. Mesoscopic eigenvalue statistics for Wigner-type matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2025;61(1):129-154. doi:10.1214/23-AIHP1438
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17154 |
Reker J. Fluctuation moments for regular functions of Wigner Matrices. Mathematical Physics, Analysis and Geometry. 2024;27(3). doi:10.1007/s11040-024-09483-y
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 18656 |
Cipolloni G, Erdös L, Henheik SJ. Out-of-time-ordered correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics. 2024;28(6):2025-2083. doi:10.4310/ATMP.241031013250
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 14542 |
Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 2024;36(9). doi:10.1142/s0129055x2360005x
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 15378 |
Erdös L, Ji HC. Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 2024;77(9):3785-3840. doi:10.1002/cpa.22201
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17047 |
Dubach G, Reker J. Dynamics of a rank-one multiplicative perturbation of a unitary matrix. Random Matrices: Theory and Applications. 2024;13(2). doi:10.1142/s2010326324500072
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17049
Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 2024;287(4). doi:10.1016/j.jfa.2024.110495
[Published Version]
View
| DOI
2024 | Published | Thesis | IST-REx-ID: 17164 |
Reker J. Central limit theorems for random matrices: From resolvents to free probability. 2024. doi:10.15479/at:ista:17164
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 18762 |
Reker J. Multi-point functional central limit theorem for Wigner matrices. Electronic Journal of Probability. 2024;29. doi:10.1214/24-EJP1247
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 18764
Erdös L, Henheik SJ, Reker J, Riabov V. Prethermalization for deformed Wigner matrices. Annales Henri Poincare. 2024. doi:10.1007/s00023-024-01518-y
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 13975 |
Campbell AJ, O’Rourke S. Spectrum of Lévy–Khintchine random laplacian matrices. Journal of Theoretical Probability. 2024;37:933-973. doi:10.1007/s10959-023-01275-4
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 14408 |
Cipolloni G, Erdös L, Schröder DJ. Mesoscopic central limit theorem for non-Hermitian random matrices. Probability Theory and Related Fields. 2024;188:1131-1182. doi:10.1007/s00440-023-01229-1
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17281 |
Campbell AJ, O’Rourke S, Renfrew DT. The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation. International Mathematics Research Notices. 2024;2024(13):10189-10218. doi:10.1093/imrn/rnae062
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 17375 |
Cipolloni G, Erdös L, Xu Y. Precise asymptotics for the spectral radius of a large random matrix. Journal of Mathematical Physics. 2024;65(6). doi:10.1063/5.0209705
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 15025 |
Erdös L, McKenna B. Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Annals of Applied Probability. 2024;34(1B):1623-1662. doi:10.1214/23-AAP2000
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 18554 |
Erdös L, Riabov V. Eigenstate Thermalization Hypothesis for Wigner-type matrices. Communications in Mathematical Physics. 2024;405(12). doi:10.1007/s00220-024-05143-y
[Published Version]
View
| Files available
| DOI
| arXiv