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153 Publications
2015 | Published | Journal Article | IST-REx-ID: 2166 | 
The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case
L. Erdös, A. Knowles, Communications in Mathematical Physics 333 (2015) 1365–1416.
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L. Erdös, A. Knowles, Communications in Mathematical Physics 333 (2015) 1365–1416.
2015 | Published | 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).
2015 | Published | Journal Article | IST-REx-ID: 1864 |
The Altshuler–Shklovskii formulas for random band matrices II: The general case
L. Erdös, A. Knowles, Annales Henri Poincare 16 (2015) 709–799.
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L. Erdös, A. Knowles, Annales Henri Poincare 16 (2015) 709–799.
2014 | Published | Journal Article | IST-REx-ID: 2699 |
Universality of general β-ensembles
L. Erdös, P. Bourgade, H. Yau, Duke Mathematical Journal 163 (2014) 1127–1190.
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L. Erdös, P. Bourgade, H. Yau, Duke Mathematical Journal 163 (2014) 1127–1190.
2014 | Published | Journal Article | IST-REx-ID: 2179 |
Local semicircle law with imprimitive variance matrix
O.H. Ajanki, L. Erdös, T.H. Krüger, Electronic Communications in Probability 19 (2014).
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O.H. Ajanki, L. Erdös, T.H. Krüger, Electronic Communications in Probability 19 (2014).
2014 | Published | Journal Article | IST-REx-ID: 1937 |
Edge universality of beta ensembles
P. Bourgade, L. Erdös, H. Yau, Communications in Mathematical Physics 332 (2014) 261–353.
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P. Bourgade, L. Erdös, H. Yau, Communications in Mathematical Physics 332 (2014) 261–353.
2014 | Published | Journal Article | IST-REx-ID: 1926 |
Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips
C. Sadel, Mathematical Physics, Analysis and Geometry 17 (2014) 409–440.
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C. Sadel, Mathematical Physics, Analysis and Geometry 17 (2014) 409–440.
2014 | Published | Conference Paper | IST-REx-ID: 1507 |
Random matrices, log-gases and Hölder regularity
L. Erdös, in:, Proceedings of the International Congress of Mathematicians, International Congress of Mathematicians, 2014, pp. 214–236.
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L. Erdös, in:, Proceedings of the International Congress of Mathematicians, International Congress of Mathematicians, 2014, pp. 214–236.
2014 | Published | Journal Article | IST-REx-ID: 2019 |
Phase transition in the density of states of quantum spin glasses
L. Erdös, D.J. Schröder, Mathematical Physics, Analysis and Geometry 17 (2014) 441–464.
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L. Erdös, D.J. Schröder, Mathematical Physics, Analysis and Geometry 17 (2014) 441–464.
2014 | Published | Journal Article | IST-REx-ID: 2225 |
Isotropic local laws for sample covariance and generalized Wigner matrices
Bloemendal, Alex, Isotropic local laws for sample covariance and generalized Wigner matrices. Electronic Journal of Probability 19. 2014
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Bloemendal, Alex, Isotropic local laws for sample covariance and generalized Wigner matrices. Electronic Journal of Probability 19. 2014
2013 | Published | Journal Article | IST-REx-ID: 2698 |
Stability and semiclassics in self-generated fields
L. Erdös, S. Fournais, J. Solovej, Journal of the European Mathematical Society 15 (2013) 2093–2113.
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L. Erdös, S. Fournais, J. Solovej, Journal of the European Mathematical Society 15 (2013) 2093–2113.
2013 | Published | Journal Article | IST-REx-ID: 2782 |
Local eigenvalue density for general MANOVA matrices
L. Erdös, B. Farrell, Journal of Statistical Physics 152 (2013) 1003–1032.
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L. Erdös, B. Farrell, Journal of Statistical Physics 152 (2013) 1003–1032.
2013 | Published | Journal Article | IST-REx-ID: 2837 |
The local semicircle law for a general class of random matrices
L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 18 (2013) 1–58.
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L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 18 (2013) 1–58.