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.
LibreCat: https://research-explorer.ista.ac.at/record/1157
DOI: 10.1214/16-AAP1193

Bulk universality for deformed wigner matrices
J. Lee, K. Schnelli, B. Stetler, H. Yau, Annals of Probability 44 (2016) 2349–2425.
LibreCat: https://research-explorer.ista.ac.at/record/1219
DOI: 10.1214/15-AOP1023

Localization for transversally periodic random potentials on binary trees
R. Froese, D. Lee, C. Sadel, W. Spitzer, G. Stolz, Journal of Spectral Theory 6 (2016) 557–600.
LibreCat: https://research-explorer.ista.ac.at/record/1223
DOI: 10.4171/JST/132

A central limit theorem for products of random matrices and GOE statistics for the Anderson model on long boxes
C. Sadel, B. Virág, Communications in Mathematical Physics 343 (2016) 881–919.
LibreCat: https://research-explorer.ista.ac.at/record/1257
DOI: 10.1007/s00220-016-2600-4

Fixed energy universality for generalized wigner matrices
P. Bourgade, L. Erdös, H. Yau, J. Yin, Communications on Pure and Applied Mathematics 69 (2016) 1815–1881.
LibreCat: https://research-explorer.ista.ac.at/record/1280
DOI: 10.1002/cpa.21624

Local stability of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
LibreCat: https://research-explorer.ista.ac.at/record/1434
DOI: 10.1016/j.jfa.2016.04.006

Local spectral statistics of Gaussian matrices with correlated entries
O.H. Ajanki, L. Erdös, T.H. Krüger, Journal of Statistical Physics 163 (2016) 280–302.
LibreCat: https://research-explorer.ista.ac.at/record/1489
DOI: 10.1007/s10955-016-1479-y

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.
LibreCat: https://research-explorer.ista.ac.at/record/1608
DOI: 10.1007/s00023-015-0456-3

Extremal eigenvalues and eigenvectors of deformed Wigner matrices
J. Lee, K. Schnelli, Probability Theory and Related Fields 164 (2016) 165–241.
LibreCat: https://research-explorer.ista.ac.at/record/1881
DOI: 10.1007/s00440-014-0610-8

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.
LibreCat: https://research-explorer.ista.ac.at/record/1505
DOI: 10.1214/14-AOS1281

Gap universality of generalized Wigner and ;2 ensembles
L. Erdös, H. Yau, Journal of the European Mathematical Society 17 (2015) 1927–2036.
LibreCat: https://research-explorer.ista.ac.at/record/1508
DOI: 10.4171/JEMS/548

The logarithmic law of random determinant
Z. Bao, G. Pan, W. Zhou, Bernoulli 21 (2015) 1600–1628.
LibreCat: https://research-explorer.ista.ac.at/record/1506
DOI: 10.3150/14-BEJ615

Asymptotic mutual information statistics of MIMO channels and CLT of sample covariance matrices
Z. Bao, G. Pan, W. Zhou, IEEE Transactions on Information Theory 61 (2015) 3413–3426.
LibreCat: https://research-explorer.ista.ac.at/record/1585
DOI: 10.1109/TIT.2015.2421894

Edge universality for deformed Wigner matrices
J. Lee, K. Schnelli, Reviews in Mathematical Physics 27 (2015).
LibreCat: https://research-explorer.ista.ac.at/record/1674
DOI: 10.1142/S0129055X1550018X

Evolutionary games of condensates in coupled birth-death processes
J. Knebel, M. Weber, T.H. Krüger, E. Frey, Nature Communications 6 (2015).
LibreCat: https://research-explorer.ista.ac.at/record/1824
DOI: 10.1038/ncomms7977

The Altshuler–Shklovskii formulas for random band matrices II: The general case
L. Erdös, A. Knowles, Annales Henri Poincare 16 (2015) 709–799.
LibreCat: https://research-explorer.ista.ac.at/record/1864
DOI: 10.1007/s00023-014-0333-5

The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case
L. Erdös, A. Knowles, Communications in Mathematical Physics 333 (2015) 1365–1416.
LibreCat: https://research-explorer.ista.ac.at/record/2166
DOI: 10.1007/s00220-014-2119-5

The local semicircle law for random matrices with a fourfold symmetry
J. Alt, Journal of Mathematical Physics 56 (2015).
LibreCat: https://research-explorer.ista.ac.at/record/1677
DOI: 10.1063/1.4932606

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.
LibreCat: https://research-explorer.ista.ac.at/record/1926
DOI: 10.1007/s11040-014-9163-4
arXiv: 1304.3862

Edge universality of beta ensembles
P. Bourgade, L. Erdös, H. Yau, Communications in Mathematical Physics 332 (2014) 261–353.
LibreCat: https://research-explorer.ista.ac.at/record/1937
DOI: 10.1007/s00220-014-2120-z

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.
LibreCat: https://research-explorer.ista.ac.at/record/2019
DOI: 10.1007/s11040-014-9164-3

Local semicircle law with imprimitive variance matrix
O.H. Ajanki, L. Erdös, T.H. Krüger, Electronic Communications in Probability 19 (2014).
LibreCat: https://research-explorer.ista.ac.at/record/2179
DOI: 10.1214/ECP.v19-3121

Isotropic local laws for sample covariance and generalized Wigner matrices
A. Bloemendal, L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 19 (2014).
LibreCat: https://research-explorer.ista.ac.at/record/2225
DOI: 10.1214/EJP.v19-3054

Universality of general ;2-ensembles
L. Erdös, P. Bourgade, H. Yau, Duke Mathematical Journal 163 (2014) 1127–1190.
LibreCat: https://research-explorer.ista.ac.at/record/2699
DOI: 10.1215/00127094-2649752

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.
LibreCat: https://research-explorer.ista.ac.at/record/1507

Stability and semiclassics in self-generated fields
L. Erdös, S. Fournais, J. Solovej, Journal of the European Mathematical Society 15 (2013) 2093–2113.
LibreCat: https://research-explorer.ista.ac.at/record/2698
DOI: 10.4171/JEMS/416
arXiv: 1105.0506

Local eigenvalue density for general MANOVA matrices
L. Erdös, B. Farrell, Journal of Statistical Physics 152 (2013) 1003–1032.
LibreCat: https://research-explorer.ista.ac.at/record/2782
DOI: 10.1007/s10955-013-0807-8
arXiv: 1207.0031

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.
LibreCat: https://research-explorer.ista.ac.at/record/2837
DOI: 10.1214/EJP.v18-2473