Please note that LibreCat no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
113 Publications
2019 | Journal Article | IST-REx-ID: 6240 | 
Alt J, Erdös L, Krüger TH, Nemish Y. 2019. Location of the spectrum of Kronecker random matrices. Annales de l’institut Henri Poincare. 55(2), 661–696.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Thesis | IST-REx-ID: 6179 |
Schröder DJ. 2019. From Dyson to Pearcey: Universal statistics in random matrix theory. Institute of Science and Technology Austria.
[Published Version]
View
| Files available
| DOI
2018 | Journal Article | IST-REx-ID: 690 |
Lee J, Schnelli K. 2018. Local law and Tracy–Widom limit for sparse random matrices. Probability Theory and Related Fields. 171(1–2), 543–616.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 556 |
Betea D, Bouttier J, Nejjar P, Vuletic M. 2018. The free boundary Schur process and applications I. Annales Henri Poincare. 19(12), 3663–3742.
[Published Version]
View
| Files available
| DOI
2018 | Preprint | IST-REx-ID: 6183 |
Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. arXiv, 1804.07752.
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 566 |
Alt J, Erdös L, Krüger TH. 2018. Local inhomogeneous circular law. Annals Applied Probability . 28(1), 148–203.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2018 | Journal Article | IST-REx-ID: 181 |
Erdös L, Krüger TH, Renfrew DT. 2018. Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. 50(3), 3271–3290.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| WoS
| arXiv
2018 | Journal Article | IST-REx-ID: 5971 |
Erdös L, Mühlbacher P. 2018. Bounds on the norm of Wigner-type random matrices. Random matrices: Theory and applications., 1950009.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2018 | Journal Article | IST-REx-ID: 1012 |
Erdös L, Schröder DJ. 2018. Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues. International Mathematics Research Notices. 2018(10), 3255–3298.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2018 | Journal Article | IST-REx-ID: 70 |
Nejjar P. 2018. Transition to shocks in TASEP and decoupling of last passage times. Latin American Journal of Probability and Mathematical Statistics. 15(2), 1311–1334.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2018 | Journal Article | IST-REx-ID: 284 |
Virosztek D. 2018. Maps on probability measures preserving certain distances - a survey and some new results. Acta Scientiarum Mathematicarum. 84(1–2), 65–80.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2018 | Thesis | IST-REx-ID: 149 |
Alt J. 2018. Dyson equation and eigenvalue statistics of random matrices. Institute of Science and Technology Austria.
[Published Version]
View
| Files available
| DOI
2017 | Journal Article | IST-REx-ID: 483 |
Bourgade P, Erdös L, Yau H, Yin J. 2017. Universality for a class of random band matrices. Advances in Theoretical and Mathematical Physics. 21(3), 739–800.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
2017 | Journal Article | IST-REx-ID: 615 |
Erdös L, Schnelli K. 2017. Universality for random matrix flows with time dependent density. Annales de l’institut Henri Poincare (B) Probability and Statistics. 53(4), 1606–1656.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
2017 | Journal Article | IST-REx-ID: 721 |
Ajanki OH, Krüger TH, Erdös L. 2017. Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. 70(9), 1672–1705.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
2017 | Journal Article | IST-REx-ID: 550 |
Alt J. 2017. Singularities of the density of states of random Gram matrices. Electronic Communications in Probability. 22, 63.
[Published Version]
View
| Files available
| DOI
2017 | Journal Article | IST-REx-ID: 1144 |
Erdös L, Schröder DJ. 2017. Fluctuations of functions of Wigner matrices. Electronic Communications in Probability. 21, 86.
[Published Version]
View
| Files available
| DOI
2017 | Journal Article | IST-REx-ID: 1528 |
Bao Z, Erdös L. 2017. Delocalization for a class of random block band matrices. Probability Theory and Related Fields. 167(3–4), 673–776.
[Published Version]
View
| Files available
| DOI
| WoS
2017 | Journal Article | IST-REx-ID: 1337 |
Ajanki OH, Erdös L, Krüger TH. 2017. Universality for general Wigner-type matrices. Probability Theory and Related Fields. 169(3–4), 667–727.
[Published Version]
View
| Files available
| DOI
| WoS
2017 | Journal Article | IST-REx-ID: 1207 |
Bao Z, Erdös L, Schnelli K. 2017. Local law of addition of random matrices on optimal scale. Communications in Mathematical Physics. 349(3), 947–990.
[Published Version]
View
| Files available
| DOI
| WoS
2017 | Journal Article | IST-REx-ID: 1023 |
Nemish Y. 2017. Local law for the product of independent non-Hermitian random matrices with independent entries. Electronic Journal of Probability. 22, 22.
[Published Version]
View
| Files available
| DOI
| WoS
2017 | Journal Article | IST-REx-ID: 1010 |
Alt J, Erdös L, Krüger TH. 2017. Local law for random Gram matrices. Electronic Journal of Probability. 22, 25.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2017 | Journal Article | IST-REx-ID: 733 |
Bao Z, Erdös L, Schnelli K. 2017. Convergence rate for spectral distribution of addition of random matrices. Advances in Mathematics. 319, 251–291.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS
2017 | Journal Article | IST-REx-ID: 447 |
Ferrari P, Nejjar P. 2017. Fluctuations of the competition interface in presence of shocks. Revista Latino-Americana de Probabilidade e Estatística. 9, 299–325.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Published Version]
View
| Files available
| DOI
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Published Version]
View
| Files available
| DOI
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2016 | Journal Article | IST-REx-ID: 1881 |
Lee J, Schnelli K. 2016. Extremal eigenvalues and eigenvectors of deformed Wigner matrices. Probability Theory and Related Fields. 164(1–2), 165–241.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Published Version]
View
| Files available
| DOI
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| 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.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
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.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
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.
[Published Version]
View
| Files available
| DOI
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.
[Published Version]
View
| Files available
| DOI
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2014 | Conference Paper | IST-REx-ID: 1507 |
Erdös L. 2014. Random matrices, log-gases and Hölder regularity. Proceedings of the International Congress of Mathematicians. ICM: International Congress of Mathematicians vol. 3, 214–236.
[Submitted Version]
View
| Download Submitted Version (ext.)
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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| 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.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| 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.
[Published Version]
View
| Files available
| DOI