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77 Publications
2016 | Journal Article | IST-REx-ID: 1280 | 
Bourgade P, Erdös L, Yau H, Yin J. 2016. Fixed energy universality for generalized wigner matrices. Communications on Pure and Applied Mathematics. 69(10), 1815–1881.
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2016 | Journal Article | IST-REx-ID: 1434 |
Bao Z, Erdös L, Schnelli K. 2016. Local stability of the free additive convolution. Journal of Functional Analysis. 271(3), 672–719.
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2016 | Journal Article | IST-REx-ID: 1489 |
Ajanki OH, Erdös L, Krüger TH. 2016. Local spectral statistics of Gaussian matrices with correlated entries. Journal of Statistical Physics. 163(2), 280–302.
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2016 | Journal Article | IST-REx-ID: 1608 |
Sadel C. 2016. Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel. Annales Henri Poincare. 17(7), 1631–1675.
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2016 | Journal Article | IST-REx-ID: 1157 |
Lee J, Schnelli K. 2016. Tracy-widom distribution for the largest eigenvalue of real sample covariance matrices with general population. Annals of Applied Probability. 26(6), 3786–3839.
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2016 | Journal Article | IST-REx-ID: 1219 |
Lee J, Schnelli K, Stetler B, Yau H. 2016. Bulk universality for deformed wigner matrices. Annals of Probability. 44(3), 2349–2425.
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2016 | Journal Article | IST-REx-ID: 1223 |
Froese R, Lee D, Sadel C, Spitzer W, Stolz G. 2016. Localization for transversally periodic random potentials on binary trees. Journal of Spectral Theory. 6(3), 557–600.
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2016 | Journal Article | IST-REx-ID: 1257 |
Sadel C, Virág B. 2016. A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes. Communications in Mathematical Physics. 343(3), 881–919.
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2015 | Journal Article | IST-REx-ID: 1824 |
Knebel J, Weber M, Krüger TH, Frey E. 2015. Evolutionary games of condensates in coupled birth-death processes. Nature Communications. 6, 6977.
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2015 | Journal Article | IST-REx-ID: 1864 |
Erdös L, Knowles A. 2015. The Altshuler–Shklovskii formulas for random band matrices II: The general case. Annales Henri Poincare. 16(3), 709–799.
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2015 | Journal Article | IST-REx-ID: 2166 |
Erdös L, Knowles A. 2015. The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case. Communications in Mathematical Physics. 333(3), 1365–1416.
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2015 | Journal Article | IST-REx-ID: 1505 |
Bao Z, Pan G, Zhou W. 2015. Universality for the largest eigenvalue of sample covariance matrices with general population. Annals of Statistics. 43(1), 382–421.
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2015 | Journal Article | IST-REx-ID: 1506 |
Bao Z, Pan G, Zhou W. 2015. The logarithmic law of random determinant. Bernoulli. 21(3), 1600–1628.
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2015 | Journal Article | IST-REx-ID: 1508 |
Erdös L, Yau H. 2015. Gap universality of generalized Wigner and β ensembles. Journal of the European Mathematical Society. 17(8), 1927–2036.
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2015 | Journal Article | IST-REx-ID: 1674 |
Lee J, Schnelli K. 2015. Edge universality for deformed Wigner matrices. Reviews in Mathematical Physics. 27(8), 1550018.
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2015 | Journal Article | IST-REx-ID: 1677 |
Alt J. 2015. The local semicircle law for random matrices with a fourfold symmetry. Journal of Mathematical Physics. 56(10), 103301.
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2014 | Journal Article | IST-REx-ID: 2699 |
Erdös L, Bourgade P, Yau H. 2014. Universality of general β-ensembles. Duke Mathematical Journal. 163(6), 1127–1190.
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2014 | Journal Article | IST-REx-ID: 1926 |
Sadel C. 2014. Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips. Mathematical Physics, Analysis and Geometry. 17(3–4), 409–440.
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| arXiv
2014 | Journal Article | IST-REx-ID: 1937 |
Bourgade P, Erdös L, Yau H. 2014. Edge universality of beta ensembles. Communications in Mathematical Physics. 332(1), 261–353.
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2014 | Journal Article | IST-REx-ID: 2019 |
Erdös L, Schröder DJ. 2014. Phase transition in the density of states of quantum spin glasses. Mathematical Physics, Analysis and Geometry. 17(3–4), 441–464.
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2014 | Journal Article | IST-REx-ID: 2179 |
Ajanki OH, Erdös L, Krüger TH. 2014. Local semicircle law with imprimitive variance matrix. Electronic Communications in Probability. 19.
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2014 | Journal Article | IST-REx-ID: 2225 |
Bloemendal A, Erdös L, Knowles A, Yau H, Yin J. 2014. Isotropic local laws for sample covariance and generalized Wigner matrices. Electronic Journal of Probability. 19, 33.
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2014 | Conference Paper | IST-REx-ID: 1507 |
Erdös L. 2014. Random matrices, log-gases and Hölder regularity. ICM: International Congress of Mathematicians, Proceedings of the International Congress of Mathematicians, vol. 3, 214–236.
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2013 | Journal Article | IST-REx-ID: 2698 |
Erdös L, Fournais S, Solovej J. 2013. Stability and semiclassics in self-generated fields. Journal of the European Mathematical Society. 15(6), 2093–2113.
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| arXiv
2013 | Journal Article | IST-REx-ID: 2782 |
Erdös L, Farrell B. 2013. Local eigenvalue density for general MANOVA matrices. Journal of Statistical Physics. 152(6), 1003–1032.
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| arXiv
2013 | Journal Article | IST-REx-ID: 2837 |
Erdös L, Knowles A, Yau H, Yin J. 2013. The local semicircle law for a general class of random matrices. Electronic Journal of Probability. 18(59), 1–58.
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