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125 Publications
2024 | Journal Article | IST-REx-ID: 15025 | 
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
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L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
2023 | Journal Article | IST-REx-ID: 11741 |
Quenched universality for deformed Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
2023 | Journal Article | IST-REx-ID: 10405 |
Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
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G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
2023 | Journal Article | IST-REx-ID: 12707 |
Small deviation estimates for the largest eigenvalue of Wigner matrices
L. Erdös, Y. Xu, Bernoulli 29 (2023) 1063–1079.
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L. Erdös, Y. Xu, Bernoulli 29 (2023) 1063–1079.
2023 | Journal Article | IST-REx-ID: 12792 |
On the spectral form factor for random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
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G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
2023 | Journal Article | IST-REx-ID: 14408 |
Mesoscopic central limit theorem for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2023).
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2023).
2023 | Journal Article | IST-REx-ID: 12683 |
Dynamics of a rank-one perturbation of a Hermitian matrix
G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.
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G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.
2023 | Journal Article | IST-REx-ID: 12761 |
Functional central limit theorems for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
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G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
2023 | Journal Article | IST-REx-ID: 14542 |
Universality in low-dimensional BCS theory
S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).
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S.J. Henheik, A.B. Lauritsen, B. Roos, Reviews in Mathematical Physics (2023).
2023 | Journal Article | IST-REx-ID: 14667 |
Functional CLT for non-Hermitian random matrices
L. Erdös, H.C. Ji, Annales de l’institut Henri Poincare (B) Probability and Statistics 59 (2023) 2083–2105.
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L. Erdös, H.C. Ji, Annales de l’institut Henri Poincare (B) Probability and Statistics 59 (2023) 2083–2105.
2023 | Journal Article | IST-REx-ID: 13317 |
Eigenstate thermalisation hypothesis for translation invariant spin systems
S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
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S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
2023 | Journal Article | IST-REx-ID: 13975 |
Spectrum of Lévy–Khintchine random laplacian matrices
A.J. Campbell, S. O’Rourke, Journal of Theoretical Probability (2023).
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A.J. Campbell, S. O’Rourke, Journal of Theoretical Probability (2023).
2023 | Journal Article | IST-REx-ID: 14343 |
Gaussian fluctuations in the equipartition principle for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
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G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
2023 | Journal Article | IST-REx-ID: 14421 |
Creation rate of Dirac particles at a point source
S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023).
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S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical 56 (2023).
2023 | Journal Article | IST-REx-ID: 14750 |
Local laws for multiplication of random matrices
X. Ding, H.C. Ji, The Annals of Applied Probability 33 (2023) 2981–3009.
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X. Ding, H.C. Ji, The Annals of Applied Probability 33 (2023) 2981–3009.
2023 | Journal Article | IST-REx-ID: 14775 |
Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample covariance matrices
K. Schnelli, Y. Xu, The Annals of Applied Probability 33 (2023) 677–725.
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K. Schnelli, Y. Xu, The Annals of Applied Probability 33 (2023) 677–725.
2023 | Journal Article | IST-REx-ID: 14780 |
Spiked multiplicative random matrices and principal components
X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60.
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X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023) 25–60.
2023 | Journal Article | IST-REx-ID: 14849 |
On the rightmost eigenvalue of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
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G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
2023 | Preprint | IST-REx-ID: 15128 |
Mesoscopic eigenvalue statistics for Wigner-type matrices
V. Riabov, ArXiv (n.d.).
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V. Riabov, ArXiv (n.d.).
2022 | Journal Article | IST-REx-ID: 12179 |
On the condition number of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
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G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
2022 | Journal Article | IST-REx-ID: 10600 |
Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap
S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).
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S.J. Henheik, S. Teufel, Journal of Mathematical Physics 63 (2022).
2022 | Journal Article | IST-REx-ID: 10642 |
Local stability of ground states in locally gapped and weakly interacting quantum spin systems
S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).
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S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022).
2022 | Journal Article | IST-REx-ID: 10643 |
Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
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S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
2022 | Journal Article | IST-REx-ID: 10623 |
The BCS critical temperature at high density
S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
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S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).
2022 | Journal Article | IST-REx-ID: 10732 |
Thermalisation for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
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G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
2022 | Journal Article | IST-REx-ID: 11135 |
On the operator norm of a Hermitian random matrix with correlated entries
J. Reker, Random Matrices: Theory and Applications 11 (2022).
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J. Reker, Random Matrices: Theory and Applications 11 (2022).
2022 | Journal Article | IST-REx-ID: 11332 |
Convergence rate to the Tracy–Widom laws for the largest Eigenvalue of Wigner matrices
K. Schnelli, Y. Xu, Communications in Mathematical Physics 393 (2022) 839–907.
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K. Schnelli, Y. Xu, Communications in Mathematical Physics 393 (2022) 839–907.
2022 | Journal Article | IST-REx-ID: 11418 |
Normal fluctuation in quantum ergodicity for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
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G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
2022 | Journal Article | IST-REx-ID: 12110 |
Interior-boundary conditions for the Dirac equation at point sources in three dimensions
S.J. Henheik, R. Tumulka, Journal of Mathematical Physics 63 (2022).
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S.J. Henheik, R. Tumulka, Journal of Mathematical Physics 63 (2022).
2022 | Journal Article | IST-REx-ID: 12148 |
Rank-uniform local law for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
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G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
2022 | Journal Article | IST-REx-ID: 12184 |
On adiabatic theory for extended fermionic lattice systems
S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).
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S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022).
2022 | Journal Article | IST-REx-ID: 12214 |
The isometry group of Wasserstein spaces: The Hilbertian case
G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society 106 (2022) 3865–3894.
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G.P. Gehér, T. Titkos, D. Virosztek, Journal of the London Mathematical Society 106 (2022) 3865–3894.
2022 | Journal Article | IST-REx-ID: 12232 |
Density of small singular values of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
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G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
2022 | Journal Article | IST-REx-ID: 12243 |
Directional extremal statistics for Ginibre eigenvalues
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
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G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
2022 | Journal Article | IST-REx-ID: 12290 |
Optimal multi-resolvent local laws for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
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G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
2022 | Journal Article | IST-REx-ID: 11732 |
The BCS energy gap at high density
S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
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S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).
2021 | Journal Article | IST-REx-ID: 10285 |
On eigenvector statistics in the spherical and truncated unitary ensembles
G. Dubach, Electronic Journal of Probability 26 (2021).
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G. Dubach, Electronic Journal of Probability 26 (2021).
2021 | Preprint | IST-REx-ID: 9230 |
Maxima of a random model of the Riemann zeta function over intervals of varying length
L.-P. Arguin, G. Dubach, L. Hartung, ArXiv (n.d.).
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L.-P. Arguin, G. Dubach, L. Hartung, ArXiv (n.d.).
2021 | Preprint | IST-REx-ID: 9281 |
Formal verification of Zagier's one-sentence proof
G. Dubach, F. Mühlböck, ArXiv (n.d.).
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G. Dubach, F. Mühlböck, ArXiv (n.d.).
2021 | Journal Article | IST-REx-ID: 8373 |
A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means
J. Pitrik, D. Virosztek, Linear Algebra and Its Applications 609 (2021) 203–217.
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J. Pitrik, D. Virosztek, Linear Algebra and Its Applications 609 (2021) 203–217.
2021 | Journal Article | IST-REx-ID: 9036 |
The metric property of the quantum Jensen-Shannon divergence
D. Virosztek, Advances in Mathematics 380 (2021).
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D. Virosztek, Advances in Mathematics 380 (2021).
2021 | Journal Article | IST-REx-ID: 9412 |
Fluctuation around the circular law for random matrices with real entries
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
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G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
2021 | Journal Article | IST-REx-ID: 9550 |
Equipartition principle for Wigner matrices
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
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Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
2021 | Journal Article | IST-REx-ID: 9912 |
Scattering in quantum dots via noncommutative rational functions
L. Erdös, T.H. Krüger, Y. Nemish, Annales Henri Poincaré 22 (2021) 4205–4269.
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L. Erdös, T.H. Krüger, Y. Nemish, Annales Henri Poincaré 22 (2021) 4205–4269.
2021 | Journal Article | IST-REx-ID: 10221 |
Eigenstate thermalization hypothesis for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
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G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
2021 | Thesis | IST-REx-ID: 9022 |
Fluctuations in the spectrum of random matrices
G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, Institute of Science and Technology Austria, 2021.
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G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, Institute of Science and Technology Austria, 2021.
2021 | Journal Article | IST-REx-ID: 15013 |
Spectral radius of random matrices with independent entries
J. Alt, L. Erdös, T.H. Krüger, Probability and Mathematical Physics 2 (2021) 221–280.
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J. Alt, L. Erdös, T.H. Krüger, Probability and Mathematical Physics 2 (2021) 221–280.
2021 | Journal Article | IST-REx-ID: 8601 |
Edge universality for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).
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G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).
2021 | Journal Article | IST-REx-ID: 15259 |
On words of non-Hermitian random matrices
G. Dubach, Y. Peled, The Annals of Probability 49 (2021) 1886–1916.
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G. Dubach, Y. Peled, The Annals of Probability 49 (2021) 1886–1916.
2020 | Journal Article | IST-REx-ID: 7389 |
Isometric study of Wasserstein spaces - the real line
G.P. Geher, T. Titkos, D. Virosztek, Transactions of the American Mathematical Society 373 (2020) 5855–5883.
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G.P. Geher, T. Titkos, D. Virosztek, Transactions of the American Mathematical Society 373 (2020) 5855–5883.