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135 Publications
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
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2024 |Epub ahead of print| 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. doi:10.1002/cpa.22201
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2024 |In Press| 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. 287(4). doi:10.1016/j.jfa.2024.110495
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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
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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
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2024 |Epub ahead of print| 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. doi:10.1142/s2010326324500072
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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
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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
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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
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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
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2023 |Published| Journal Article | IST-REx-ID: 11741 |
Cipolloni G, Erdös L, Schröder DJ. Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. 2023;185:1183–1218. doi:10.1007/s00440-022-01156-7
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2023 |Published| Journal Article | IST-REx-ID: 10405 |
Cipolloni G, Erdös L, Schröder DJ. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 2023;76(5):946-1034. doi:10.1002/cpa.22028
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2023 |Published| Journal Article | IST-REx-ID: 12707 |
Erdös L, Xu Y. Small deviation estimates for the largest eigenvalue of Wigner matrices. Bernoulli. 2023;29(2):1063-1079. doi:10.3150/22-BEJ1490
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2023 |Published| Journal Article | IST-REx-ID: 12792 |
Cipolloni G, Erdös L, Schröder DJ. On the spectral form factor for random matrices. Communications in Mathematical Physics. 2023;401:1665-1700. doi:10.1007/s00220-023-04692-y
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2023 |Published| Journal Article | IST-REx-ID: 12683 |
Dubach G, Erdös L. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 2023;28:1-13. doi:10.1214/23-ECP516
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2023 |Published| Journal Article | IST-REx-ID: 12761 |
Cipolloni G, Erdös L, Schröder DJ. Functional central limit theorems for Wigner matrices. Annals of Applied Probability. 2023;33(1):447-489. doi:10.1214/22-AAP1820
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2023 |Epub ahead of print| Journal Article | IST-REx-ID: 14542 |
Henheik SJ, Lauritsen AB, Roos B. Universality in low-dimensional BCS theory. Reviews in Mathematical Physics. 2023. doi:10.1142/s0129055x2360005x
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2023 |Published| Journal Article | IST-REx-ID: 14667 |
Erdös L, Ji HC. Functional CLT for non-Hermitian random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2023;59(4):2083-2105. doi:10.1214/22-AIHP1304
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2023 |Published| Journal Article | IST-REx-ID: 13317 |
Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 2023;190(7). doi:10.1007/s10955-023-03132-4
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2023 |Published| Journal Article | IST-REx-ID: 14343 |
Cipolloni G, Erdös L, Henheik SJ, Kolupaiev O. Gaussian fluctuations in the equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. 2023;11. doi:10.1017/fms.2023.70
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2023 |Published| Journal Article | IST-REx-ID: 14421 |
Henheik SJ, Tumulka R. Creation rate of Dirac particles at a point source. Journal of Physics A: Mathematical and Theoretical. 2023;56(44). doi:10.1088/1751-8121/acfe62
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2023 |Published| Journal Article | IST-REx-ID: 14750 |
Ding X, Ji HC. Local laws for multiplication of random matrices. The Annals of Applied Probability. 2023;33(4):2981-3009. doi:10.1214/22-aap1882
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2023 |Published| Journal Article | IST-REx-ID: 14775 |
Schnelli K, Xu Y. Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices. The Annals of Applied Probability. 2023;33(1):677-725. doi:10.1214/22-aap1826
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2023 |Published| Journal Article | IST-REx-ID: 14780 |
Ding X, Ji HC. Spiked multiplicative random matrices and principal components. Stochastic Processes and their Applications. 2023;163:25-60. doi:10.1016/j.spa.2023.05.009
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2023 |Published| Journal Article | IST-REx-ID: 14849 |
Cipolloni G, Erdös L, Schröder DJ, Xu Y. On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. 2023;51(6):2192-2242. doi:10.1214/23-aop1643
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2023 |Submitted| Preprint | IST-REx-ID: 15128 |
Riabov V. Mesoscopic eigenvalue statistics for Wigner-type matrices. arXiv. doi:10.48550/arXiv.2301.01712
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2023 |Submitted| Preprint | IST-REx-ID: 17174 |
Erdös L, Henheik SJ, Reker J, Riabov V. Prethermalization for deformed Wigner Matrices. arXiv. doi:10.48550/arXiv.2310.06677
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2023 |Submitted| Preprint | IST-REx-ID: 17173 |
Reker J. Multi-point functional central limit theorem for Wigner Matrices. arXiv. doi:10.48550/arXiv.2307.11028
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2023 |Published| Journal Article | IST-REx-ID: 17079 |
Serebryakov A, Simm N, Dubach G. Characteristic polynomials of random truncations: Moments, duality and asymptotics. Random Matrices: Theory and Applications. 2023;12(01). doi:10.1142/s2010326322500496
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2022 |Published| Journal Article | IST-REx-ID: 12179 |
Cipolloni G, Erdös L, Schröder DJ. On the condition number of the shifted real Ginibre ensemble. SIAM Journal on Matrix Analysis and Applications. 2022;43(3):1469-1487. doi:10.1137/21m1424408
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2022 |Published| Journal Article | IST-REx-ID: 10600 |
Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap. Journal of Mathematical Physics. 2022;63(1). doi:10.1063/5.0051632
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2022 |Published| Journal Article | IST-REx-ID: 10642 |
Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 2022;112(1). doi:10.1007/s11005-021-01494-y
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2022 |Published| Journal Article | IST-REx-ID: 10643 |
Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2021.80
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2022 |Published| Journal Article | IST-REx-ID: 10623 |
Henheik SJ. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 2022;25(1). doi:10.1007/s11040-021-09415-0
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2022 |Published| Journal Article | IST-REx-ID: 10732 |
Cipolloni G, Erdös L, Schröder DJ. Thermalisation for Wigner matrices. Journal of Functional Analysis. 2022;282(8). doi:10.1016/j.jfa.2022.109394
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2022 |Published| Journal Article | IST-REx-ID: 11332 |
Schnelli K, Xu Y. Convergence rate to the Tracy–Widom laws for the largest Eigenvalue of Wigner matrices. Communications in Mathematical Physics. 2022;393:839-907. doi:10.1007/s00220-022-04377-y
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2022 |Published| Journal Article | IST-REx-ID: 11418 |
Cipolloni G, Erdös L, Schröder DJ. Normal fluctuation in quantum ergodicity for Wigner matrices. Annals of Probability. 2022;50(3):984-1012. doi:10.1214/21-AOP1552
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2022 |Published| Journal Article | IST-REx-ID: 12110 |
Henheik SJ, Tumulka R. Interior-boundary conditions for the Dirac equation at point sources in three dimensions. Journal of Mathematical Physics. 2022;63(12). doi:10.1063/5.0104675
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2022 |Published| Journal Article | IST-REx-ID: 12148 |
Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86
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2022 |Published| Journal Article | IST-REx-ID: 12184 |
Henheik SJ, Wessel T. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 2022;63(12). doi:10.1063/5.0123441
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2022 |Published| Journal Article | IST-REx-ID: 12214 |
Gehér GP, Titkos T, Virosztek D. The isometry group of Wasserstein spaces: The Hilbertian case. Journal of the London Mathematical Society. 2022;106(4):3865-3894. doi:10.1112/jlms.12676
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2022 |Published| Journal Article | IST-REx-ID: 12232 |
Cipolloni G, Erdös L, Schröder DJ. Density of small singular values of the shifted real Ginibre ensemble. Annales Henri Poincaré. 2022;23(11):3981-4002. doi:10.1007/s00023-022-01188-8
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2022 |Published| Journal Article | IST-REx-ID: 12243 |
Cipolloni G, Erdös L, Schröder DJ, Xu Y. Directional extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics. 2022;63(10). doi:10.1063/5.0104290
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2022 |Published| Journal Article | IST-REx-ID: 12290 |
Cipolloni G, Erdös L, Schröder DJ. Optimal multi-resolvent local laws for Wigner matrices. Electronic Journal of Probability. 2022;27:1-38. doi:10.1214/22-ejp838
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2022 |Published| Journal Article | IST-REx-ID: 11732 |
Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9
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2022 |Published| Journal Article | IST-REx-ID: 11135 |
Reker J. On the operator norm of a Hermitian random matrix with correlated entries. Random Matrices: Theory and Applications. 2022;11(4). doi:10.1142/s2010326322500368
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2021 |Published| Journal Article | IST-REx-ID: 10285 |
Dubach G. On eigenvector statistics in the spherical and truncated unitary ensembles. Electronic Journal of Probability. 2021;26. doi:10.1214/21-EJP686
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2021 |Submitted| Preprint | IST-REx-ID: 9230 |
Arguin L-P, Dubach G, Hartung L. Maxima of a random model of the Riemann zeta function over intervals of varying length. arXiv. doi:10.48550/arXiv.2103.04817
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2021 |Submitted| Preprint | IST-REx-ID: 9281 |
Dubach G, Mühlböck F. Formal verification of Zagier’s one-sentence proof. arXiv. doi:10.48550/arXiv.2103.11389
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2021 |Published| Journal Article | IST-REx-ID: 8373 |
Pitrik J, Virosztek D. A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means. Linear Algebra and its Applications. 2021;609:203-217. doi:10.1016/j.laa.2020.09.007
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