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17 Publications
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.).
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.
2020 | Journal Article | IST-REx-ID: 6185 |
Cusp universality for random matrices I: Local law and the complex Hermitian case
L. Erdös, T.H. Krüger, D.J. Schröder, Communications in Mathematical Physics 378 (2020) 1203–1278.
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L. Erdös, T.H. Krüger, D.J. Schröder, Communications in Mathematical Physics 378 (2020) 1203–1278.
2020 | Journal Article | IST-REx-ID: 14694 |
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
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J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
2020 | Journal Article | IST-REx-ID: 15079
Random matrices
L. Erdös, F. Götze, A. Guionnet, Oberwolfach Reports 16 (2020) 3459–3527.
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L. Erdös, F. Götze, A. Guionnet, Oberwolfach Reports 16 (2020) 3459–3527.
2019 | Conference Paper | IST-REx-ID: 7035 |
Dirac masses and isometric rigidity
G.P. Geher, T. Titkos, D. Virosztek, in:, Kyoto RIMS Kôkyûroku, Research Institute for Mathematical Sciences, Kyoto University, 2019, pp. 34–41.
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G.P. Geher, T. Titkos, D. Virosztek, in:, Kyoto RIMS Kôkyûroku, Research Institute for Mathematical Sciences, Kyoto University, 2019, pp. 34–41.
2019 | Conference Paper | IST-REx-ID: 8175 |
New edge asymptotics of skew Young diagrams via free boundaries
D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Formal Power Series and Algebraic Combinatorics, 2019.
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D. Betea, J. Bouttier, P. Nejjar, M. Vuletíc, in:, Proceedings on the 31st International Conference on Formal Power Series and Algebraic Combinatorics, Formal Power Series and Algebraic Combinatorics, 2019.
2019 | Journal Article | IST-REx-ID: 6186 |
Cusp universality for random matrices, II: The real symmetric case
G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
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G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, Pure and Applied Analysis 1 (2019) 615–707.
2019 | Thesis | IST-REx-ID: 6179 |
From Dyson to Pearcey: Universal statistics in random matrix theory
D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, Institute of Science and Technology Austria, 2019.
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D.J. Schröder, From Dyson to Pearcey: Universal Statistics in Random Matrix Theory, Institute of Science and Technology Austria, 2019.
2018 | Journal Article | IST-REx-ID: 5971 |
Bounds on the norm of Wigner-type random matrices
L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
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L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
2018 | Preprint | IST-REx-ID: 6183 |
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, ArXiv (n.d.).
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J. Alt, L. Erdös, T.H. Krüger, ArXiv (n.d.).
2018 | Thesis | IST-REx-ID: 149 |
Dyson equation and eigenvalue statistics of random matrices
J. Alt, Dyson Equation and Eigenvalue Statistics of Random Matrices, Institute of Science and Technology Austria, 2018.
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J. Alt, Dyson Equation and Eigenvalue Statistics of Random Matrices, Institute of Science and Technology Austria, 2018.
2017 | Journal Article | IST-REx-ID: 1337 |
Universality for general Wigner-type matrices
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
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O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
2016 | Journal Article | IST-REx-ID: 1157 |
Tracy-widom distribution for the largest eigenvalue of real sample covariance matrices with general population
J. Lee, K. Schnelli, Annals of Applied Probability 26 (2016) 3786–3839.
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J. Lee, K. Schnelli, Annals of Applied Probability 26 (2016) 3786–3839.
2016 | Journal Article | IST-REx-ID: 1608 |
Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
C. Sadel, Annales Henri Poincare 17 (2016) 1631–1675.
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C. Sadel, Annales Henri Poincare 17 (2016) 1631–1675.
2015 | Journal Article | IST-REx-ID: 1505 |
Universality for the largest eigenvalue of sample covariance matrices with general population
Z. Bao, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 382–421.
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Z. Bao, G. Pan, W. Zhou, Annals of Statistics 43 (2015) 382–421.
2015 | Journal Article | IST-REx-ID: 1677 |
The local semicircle law for random matrices with a fourfold symmetry
J. Alt, Journal of Mathematical Physics 56 (2015).
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J. Alt, Journal of Mathematical Physics 56 (2015).