L. Erdös and B. McKenna, “Extremal statistics of quadratic forms of GOE/GUE eigenvectors,” Annals of Applied Probability, vol. 34, no. 1B. Institute of Mathematical Statistics, pp. 1623–1662, 2024.
LibreCat: https://research-explorer.ista.ac.at/record/15025
DOI: 10.1214/23-AAP2000
arXiv: 2208.12206

G. Cipolloni, L. Erdös, and D. J. Schröder, “Quenched universality for deformed Wigner matrices,” Probability Theory and Related Fields, vol. 185. Springer Nature, pp. 1183–1218, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/11741
DOI: 10.1007/s00440-022-01156-7
WoS: 000830344500001
arXiv: 2106.10200

G. Cipolloni, L. Erdös, and D. J. Schröder, “Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices,” Communications on Pure and Applied Mathematics, vol. 76, no. 5. Wiley, pp. 946–1034, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/10405
DOI: 10.1002/cpa.22028
WoS: 000724652500001
arXiv: 1912.04100

L. Erdös and Y. Xu, “Small deviation estimates for the largest eigenvalue of Wigner matrices,” Bernoulli, vol. 29, no. 2. Bernoulli Society for Mathematical Statistics and Probability, pp. 1063–1079, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12707
DOI: 10.3150/22-BEJ1490
WoS: 000947270100008
arXiv: 2112.12093 

G. Cipolloni, L. Erdös, and D. J. Schröder, “On the spectral form factor for random matrices,” Communications in Mathematical Physics, vol. 401. Springer Nature, pp. 1665–1700, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12792
DOI: 10.1007/s00220-023-04692-y
WoS: 000957343500001

G. Cipolloni, L. Erdös, and D. J. Schröder, “Mesoscopic central limit theorem for non-Hermitian random matrices,” Probability Theory and Related Fields. Springer Nature, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/14408
DOI: 10.1007/s00440-023-01229-1
arXiv: 2210.12060

G. Dubach and L. Erdös, “Dynamics of a rank-one perturbation of a Hermitian matrix,” Electronic Communications in Probability, vol. 28. Institute of Mathematical Statistics, pp. 1–13, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12683
DOI: 10.1214/23-ECP516
WoS: 000950650200005
arXiv: 2108.13694

G. Cipolloni, L. Erdös, and D. J. Schröder, “Functional central limit theorems for Wigner matrices,” Annals of Applied Probability, vol. 33, no. 1. Institute of Mathematical Statistics, pp. 447–489, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12761
DOI: 10.1214/22-AAP1820
WoS: 000946432400015
arXiv: 2012.13218

L. Erdös and H. C. Ji, “Functional CLT for non-Hermitian random matrices,” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 59, no. 4. Institute of Mathematical Statistics, pp. 2083–2105, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/14667
DOI: 10.1214/22-AIHP1304
arXiv: 2112.11382

S. Sugimoto, S. J. Henheik, V. Riabov, and L. Erdös, “Eigenstate thermalisation hypothesis for translation invariant spin systems,” Journal of Statistical Physics, vol. 190, no. 7. Springer Nature, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/13317
DOI: 10.1007/s10955-023-03132-4
WoS: 001035677200002
arXiv: 2304.04213

G. Cipolloni, L. Erdös, S. J. Henheik, and O. Kolupaiev, “Gaussian fluctuations in the equipartition principle for Wigner matrices,” Forum of Mathematics, Sigma, vol. 11. Cambridge University Press, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/14343
DOI: 10.1017/fms.2023.70
WoS: 001051980200001
arXiv: 2301.05181

G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “On the rightmost eigenvalue of non-Hermitian random matrices,” The Annals of Probability, vol. 51, no. 6. Institute of Mathematical Statistics, pp. 2192–2242, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/14849
DOI: 10.1214/23-aop1643
arXiv: 2206.04448

G. Cipolloni, L. Erdös, and D. J. Schröder, “On the condition number of the shifted real Ginibre ensemble,” SIAM Journal on Matrix Analysis and Applications, vol. 43, no. 3. Society for Industrial and Applied Mathematics, pp. 1469–1487, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/12179
DOI: 10.1137/21m1424408
arXiv: 2105.13719

G. Cipolloni, L. Erdös, and D. J. Schröder, “Thermalisation for Wigner matrices,” Journal of Functional Analysis, vol. 282, no. 8. Elsevier, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/10732
DOI: 10.1016/j.jfa.2022.109394
WoS: 000781239100004
arXiv: 2102.09975

G. Cipolloni, L. Erdös, and D. J. Schröder, “Normal fluctuation in quantum ergodicity for Wigner matrices,” Annals of Probability, vol. 50, no. 3. Institute of Mathematical Statistics, pp. 984–1012, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/11418
DOI: 10.1214/21-AOP1552
WoS: 000793963400005
arXiv: 2103.06730

G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner matrices,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/12148
DOI: 10.1017/fms.2022.86
WoS: 000873719200001

G. Cipolloni, L. Erdös, and D. J. Schröder, “Density of small singular values of the shifted real Ginibre ensemble,” Annales Henri Poincaré, vol. 23, no. 11. Springer Nature, pp. 3981–4002, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/12232
DOI: 10.1007/s00023-022-01188-8
WoS: 000796323500001

G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “Directional extremal statistics for Ginibre eigenvalues,” Journal of Mathematical Physics, vol. 63, no. 10. AIP Publishing, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/12243
DOI: 10.1063/5.0104290
WoS: 000869715800001
arXiv: 2206.04443

G. Cipolloni, L. Erdös, and D. J. Schröder, “Optimal multi-resolvent local laws for Wigner matrices,” Electronic Journal of Probability, vol. 27. Institute of Mathematical Statistics, pp. 1–38, 2022.
LibreCat: https://research-explorer.ista.ac.at/record/12290
DOI: 10.1214/22-ejp838
WoS: 000910863700003

G. Cipolloni, L. Erdös, and D. J. Schröder, “Fluctuation around the circular law for random matrices with real entries,” Electronic Journal of Probability, vol. 26. Institute of Mathematical Statistics, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9412
DOI: 10.1214/21-EJP591
WoS: 000641855600001
arXiv: 2002.02438

Z. Bao, L. Erdös, and K. Schnelli, “Equipartition principle for Wigner matrices,” Forum of Mathematics, Sigma, vol. 9. Cambridge University Press, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9550
DOI: 10.1017/fms.2021.38
WoS: 000654960800001
arXiv: 2008.07061

L. Erdös, T. H. Krüger, and Y. Nemish, “Scattering in quantum dots via noncommutative rational functions,” Annales Henri Poincaré , vol. 22. Springer Nature, pp. 4205–4269, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9912
DOI: 10.1007/s00023-021-01085-6
WoS: 000681531500001
arXiv: 1911.05112

G. Cipolloni, L. Erdös, and D. J. Schröder, “Eigenstate thermalization hypothesis for Wigner matrices,” Communications in Mathematical Physics, vol. 388, no. 2. Springer Nature, pp. 1005–1048, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10221
DOI: 10.1007/s00220-021-04239-z
WoS: 000712232700001
arXiv: 2012.13215

J. Alt, L. Erdös, and T. H. Krüger, “Spectral radius of random matrices with independent entries,” Probability and Mathematical Physics, vol. 2, no. 2. Mathematical Sciences Publishers, pp. 221–280, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/15013
DOI: 10.2140/pmp.2021.2.221
arXiv: 1907.13631

G. Cipolloni, L. Erdös, and D. J. Schröder, “Edge universality for non-Hermitian random matrices,” Probability Theory and Related Fields. Springer Nature, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/8601
DOI: 10.1007/s00440-020-01003-7
WoS: 000572724600002
arXiv: 1908.00969

L. Erdös, T. H. Krüger, and Y. Nemish, “Local laws for polynomials of Wigner matrices,” Journal of Functional Analysis, vol. 278, no. 12. Elsevier, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7512
DOI: 10.1016/j.jfa.2020.108507
WoS: 000522798900001
arXiv: 1804.11340

Z. Bao, L. Erdös, and K. Schnelli, “On the support of the free additive convolution,” Journal d’Analyse Mathematique, vol. 142. Springer Nature, pp. 323–348, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9104
DOI: 10.1007/s11854-020-0135-2
WoS: 000611879400008
arXiv: 1804.11199

Z. Bao, L. Erdös, and K. Schnelli, “Spectral rigidity for addition of random matrices at the regular edge,” Journal of Functional Analysis, vol. 279, no. 7. Elsevier, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/10862
DOI: 10.1016/j.jfa.2020.108639
WoS: 000559623200009
arXiv: 1708.01597

G. Cipolloni and L. Erdös, “Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices,” Random Matrices: Theory and Application, vol. 9, no. 3. World Scientific Publishing, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/6488
DOI: 10.1142/S2010326320500069
WoS: 000547464400001
arXiv: 1806.08751

L. Erdös, T. H. Krüger, and D. J. Schröder, “Cusp universality for random matrices I: Local law and the complex Hermitian case,” Communications in Mathematical Physics, vol. 378. Springer Nature, pp. 1203–1278, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/6185
DOI: 10.1007/s00220-019-03657-4
WoS: 000529483000001
arXiv: 1809.03971

J. Alt, L. Erdös, and T. H. Krüger, “The Dyson equation with linear self-energy: Spectral bands, edges and cusps,” Documenta Mathematica, vol. 25. EMS Press, pp. 1421–1539, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/14694
DOI: 10.4171/dm/780
arXiv: 1804.07752

J. Alt, L. Erdös, T. H. Krüger, and D. J. Schröder, “Correlated random matrices: Band rigidity and edge universality,” Annals of Probability, vol. 48, no. 2. Institute of Mathematical Statistics, pp. 963–1001, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/6184
DOI: 10.1214/19-AOP1379
WoS: 000528269100013
arXiv: 1804.07744

G. Cipolloni, L. Erdös, and D. J. Schröder, “Optimal lower bound on the least singular value of the shifted Ginibre ensemble,” Probability and Mathematical Physics, vol. 1, no. 1. Mathematical Sciences Publishers, pp. 101–146, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/15063
DOI: 10.2140/pmp.2020.1.101
arXiv: 1908.01653

L. Erdös, F. Götze, and A. Guionnet, “Random matrices,” Oberwolfach Reports, vol. 16, no. 4. European Mathematical Society, pp. 3459–3527, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/15079
DOI: 10.4171/owr/2019/56

O. H. Ajanki, L. Erdös, and T. H. Krüger, “Stability of the matrix Dyson equation and random matrices with correlations,” Probability Theory and Related Fields, vol. 173, no. 1–2. Springer, pp. 293–373, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/429
DOI: 10.1007/s00440-018-0835-z
WoS: 000459396500007

Z. Bao, L. Erdös, and K. Schnelli, “Local single ring theorem on optimal scale,” Annals of Probability, vol. 47, no. 3. Institute of Mathematical Statistics, pp. 1270–1334, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6511
DOI: 10.1214/18-AOP1284
WoS: 000466616100003
arXiv: 1612.05920

L. Erdös, T. H. Krüger, and D. J. Schröder, “Random matrices with slow correlation decay,” Forum of Mathematics, Sigma, vol. 7. Cambridge University Press, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6182
DOI: 10.1017/fms.2019.2
WoS: 000488847100001
arXiv: 1705.10661

G. Cipolloni, L. Erdös, T. H. Krüger, and D. J. Schröder, “Cusp universality for random matrices, II: The real symmetric case,” Pure and Applied Analysis , vol. 1, no. 4. MSP, pp. 615–707, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6186
DOI: 10.2140/paa.2019.1.615
arXiv: 1811.04055

J. Alt, L. Erdös, T. H. Krüger, and Y. Nemish, “Location of the spectrum of Kronecker random matrices,” Annales de l’institut Henri Poincare, vol. 55, no. 2. Institut Henri Poincaré, pp. 661–696, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6240
DOI: 10.1214/18-AIHP894
WoS: 000467793600003
arXiv: 1706.08343

J. Alt, L. Erdös, and T. H. Krüger, “Local inhomogeneous circular law,” Annals Applied Probability , vol. 28, no. 1. Institute of Mathematical Statistics, pp. 148–203, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/566
DOI: 10.1214/17-AAP1302
WoS: 000431721800005
arXiv: 1612.07776 

L. Erdös, T. H. Krüger, and D. T. Renfrew, “Power law decay for systems of randomly coupled differential equations,” SIAM Journal on Mathematical Analysis, vol. 50, no. 3. Society for Industrial and Applied Mathematics , pp. 3271–3290, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/181
DOI: 10.1137/17M1143125
WoS: 000437018500032
arXiv: 1708.01546

L. Erdös and P. Mühlbacher, “Bounds on the norm of Wigner-type random matrices,” Random matrices: Theory and applications. World Scientific Publishing, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/5971
DOI: 10.1142/s2010326319500096
WoS: 000477677200002
arXiv: 1802.05175

L. Erdös and D. J. Schröder, “Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues,” International Mathematics Research Notices, vol. 2018, no. 10. Oxford University Press, pp. 3255–3298, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/1012
DOI: 10.1093/imrn/rnw330
WoS: 000441668300009
arXiv: 1608.05163

J. Alt, L. Erdös, and T. H. Krüger, “The Dyson equation with linear self-energy: Spectral bands, edges and  cusps,” arXiv. .
LibreCat: https://research-explorer.ista.ac.at/record/6183
arXiv: 1804.07752

P. Bourgade, L. Erdös, H. Yau, and J. Yin, “Universality for a class of random band matrices,” Advances in Theoretical and Mathematical Physics, vol. 21, no. 3. International Press, pp. 739–800, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/483
DOI: 10.4310/ATMP.2017.v21.n3.a5

L. Erdös and H. Yau, A Dynamical Approach to Random Matrix Theory, vol. 28. American Mathematical Society, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/567
DOI: 10.1090/cln/028

L. Erdös and K. Schnelli, “Universality for random matrix flows with time dependent density,” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 53, no. 4. Institute of Mathematical Statistics, pp. 1606–1656, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/615
DOI: 10.1214/16-AIHP765

O. H. Ajanki, T. H. Krüger, and L. Erdös, “Singularities of solutions to quadratic vector equations on the complex upper half plane,” Communications on Pure and Applied Mathematics, vol. 70, no. 9. Wiley-Blackwell, pp. 1672–1705, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/721
DOI: 10.1002/cpa.21639

L. Erdös and D. J. Schröder, “Fluctuations of functions of Wigner matrices,” Electronic Communications in Probability, vol. 21. Institute of Mathematical Statistics, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1144
DOI: 10.1214/16-ECP38

Z. Bao and L. Erdös, “Delocalization for a class of random block band matrices,” Probability Theory and Related Fields, vol. 167, no. 3–4. Springer, pp. 673–776, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1528
DOI: 10.1007/s00440-015-0692-y
WoS: 000398842700004

O. H. Ajanki, L. Erdös, and T. H. Krüger, “Universality for general Wigner-type matrices,” Probability Theory and Related Fields, vol. 169, no. 3–4. Springer, pp. 667–727, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1337
DOI: 10.1007/s00440-016-0740-2
WoS: 000414358400002

Z. Bao, L. Erdös, and K. Schnelli, “Local law of addition of random matrices on optimal scale,” Communications in Mathematical Physics, vol. 349, no. 3. Springer, pp. 947–990, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1207
DOI: 10.1007/s00220-016-2805-6
WoS: 000393696700005

J. Alt, L. Erdös, and T. H. Krüger, “Local law for random Gram matrices,” Electronic Journal of Probability, vol. 22. Institute of Mathematical Statistics, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1010
DOI: 10.1214/17-EJP42
WoS: 000396611900025
arXiv: 1606.07353

Z. Bao, L. Erdös, and K. Schnelli, “Convergence rate for spectral distribution of addition of random matrices,” Advances in Mathematics, vol. 319. Academic Press, pp. 251–291, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/733
DOI: 10.1016/j.aim.2017.08.028
WoS: 000412150400010

P. Bourgade, L. Erdös, H. Yau, and J. Yin, “Fixed energy universality for generalized wigner matrices,” Communications on Pure and Applied Mathematics, vol. 69, no. 10. Wiley-Blackwell, pp. 1815–1881, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1280
DOI: 10.1002/cpa.21624

Z. Bao, L. Erdös, and K. Schnelli, “Local stability of the free additive convolution,” Journal of Functional Analysis, vol. 271, no. 3. Academic Press, pp. 672–719, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1434
DOI: 10.1016/j.jfa.2016.04.006

O. H. Ajanki, L. Erdös, and T. H. Krüger, “Local spectral statistics of Gaussian matrices with correlated entries,” Journal of Statistical Physics, vol. 163, no. 2. Springer, pp. 280–302, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1489
DOI: 10.1007/s10955-016-1479-y

L. Erdös and H. Yau, “Gap universality of generalized Wigner and ;2 ensembles,” Journal of the European Mathematical Society, vol. 17, no. 8. European Mathematical Society, pp. 1927–2036, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1508
DOI: 10.4171/JEMS/548

L. Erdös and A. Knowles, “The Altshuler–Shklovskii formulas for random band matrices II: The general case,” Annales Henri Poincare, vol. 16, no. 3. Springer, pp. 709–799, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1864
DOI: 10.1007/s00023-014-0333-5

L. Erdös and A. Knowles, “The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case,” Communications in Mathematical Physics, vol. 333, no. 3. Springer, pp. 1365–1416, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/2166
DOI: 10.1007/s00220-014-2119-5

P. Bourgade, L. Erdös, and H. Yau, “Edge universality of beta ensembles,” Communications in Mathematical Physics, vol. 332, no. 1. Springer, pp. 261–353, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/1937
DOI: 10.1007/s00220-014-2120-z

L. Erdös and D. J. Schröder, “Phase transition in the density of states of quantum spin glasses,” Mathematical Physics, Analysis and Geometry, vol. 17, no. 3–4. Springer, pp. 441–464, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2019
DOI: 10.1007/s11040-014-9164-3

O. H. Ajanki, L. Erdös, and T. H. Krüger, “Local semicircle law with imprimitive variance matrix,” Electronic Communications in Probability, vol. 19. Institute of Mathematical Statistics, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2179
DOI: 10.1214/ECP.v19-3121

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

L. Erdös, P. Bourgade, and H. Yau, “Universality of general ;2-ensembles,” Duke Mathematical Journal, vol. 163, no. 6. Duke University Press, pp. 1127–1190, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2699
DOI: 10.1215/00127094-2649752

L. Erdös, “Random matrices, log-gases and Hölder regularity,” in Proceedings of the International Congress of Mathematicians, Seoul, Korea, 2014, vol. 3, pp. 214–236.
LibreCat: https://research-explorer.ista.ac.at/record/1507

L. Erdös, S. Fournais, and J. Solovej, “Stability and semiclassics in self-generated fields,” Journal of the European Mathematical Society, vol. 15, no. 6. European Mathematical Society, pp. 2093–2113, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2698
DOI: 10.4171/JEMS/416
arXiv: 1105.0506

L. Erdös, A. Knowles, H. Yau, and J. Yin, “Delocalization and diffusion profile for random band matrices,” Communications in Mathematical Physics, vol. 323, no. 1. Springer, pp. 367–416, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2697
DOI: 10.1007/s00220-013-1773-3

L. Erdös and B. Farrell, “Local eigenvalue density for general MANOVA matrices,” Journal of Statistical Physics, vol. 152, no. 6. Springer, pp. 1003–1032, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2782
DOI: 10.1007/s10955-013-0807-8
arXiv: 1207.0031

L. Erdös, A. Knowles, H. Yau, and J. Yin, “Spectral statistics of Erds-Rényi graphs I: Local semicircle law,” Annals of Probability, vol. 41, no. 3 B. Institute of Mathematical Statistics, pp. 2279–2375, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2781
DOI: 10.1214/11-AOP734

L. Erdös, A. Knowles, and H. Yau, “Averaging fluctuations in resolvents of random band matrices,” Annales Henri Poincare, vol. 14, no. 8. Birkhäuser, pp. 1837–1926, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2780
DOI: 10.1007/s00023-013-0235-y

L. Erdös, A. Knowles, H. Yau, and J. Yin, “The local semicircle law for a general class of random matrices,” Electronic Journal of Probability, vol. 18, no. 59. Institute of Mathematical Statistics, pp. 1–58, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2837
DOI: 10.1214/EJP.v18-2473

L. Erdös, “Universality for random matrices and log-gases,” ArXiv. ArXiv, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2696

L. Erdös, “Lecture notes on quantum Brownian motion,” presented at the Les Houches Summer School 2010, 2012, vol. 95, pp. 3–98.
LibreCat: https://research-explorer.ista.ac.at/record/2700

L. Erdös, H. Yau, and J. Yin, “Rigidity of eigenvalues of generalized Wigner matrices,” Advances in Mathematics, vol. 229, no. 3. Academic Press, pp. 1435–1515, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2770
DOI: 10.1016/j.aim.2011.12.010

L. Erdös, B. Schlein, H. Yau, and J. Yin, “The local relaxation flow approach to universality of the local statistics for random matrices,” Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 48, no. 1. Institute of Mathematical Statistics, pp. 1–46, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2769
DOI: 10.1214/10-AIHP388

L. Erdös, H. Yau, and J. Yin, “Bulk universality for generalized Wigner matrices,” Probability Theory and Related Fields, vol. 154, no. 1–2. Springer, pp. 341–407, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2767
DOI: 10.1007/s00440-011-0390-3

L. Erdös and D. Hasler, “Wegner estimate and Anderson localization for random magnetic fields,” Communications in Mathematical Physics, vol. 309, no. 2. Springer, pp. 507–542, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2768
DOI: 10.1007/s00220-011-1373-z

L. Erdös and H. Yau, “Universality of local spectral statistics of random matrices,” Bulletin of the American Mathematical Society, vol. 49, no. 3. American Mathematical Society, pp. 377–414, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2775
DOI: 10.1090/S0273-0979-2012-01372-1

L. Erdös, S. Fournais, and J. Solovej, “Relativistic Scott correction in self-generated magnetic fields,” Journal of Mathematical Physics, vol. 53, no. 9. American Institute of Physics, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2777
DOI: 10.1063/1.3697417

L. Erdös, S. Fournais, and J. Solovej, “Second order semiclassics with self generated magnetic fields,” Annales Henri Poincare, vol. 13, no. 4. Birkhäuser, pp. 671–730, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2772
DOI: 10.1007/s00023-011-0150-z

L. Erdös, A. Knowles, H. Yau, and J. Yin, “Spectral statistics of Erds-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues,” Communications in Mathematical Physics, vol. 314, no. 3. Springer, pp. 587–640, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2776
DOI: 10.1007/s00220-012-1527-7

L. Erdös, S. Fournais, and J. Solovej, “Scott correction for large atoms and molecules in a self-generated magnetic field,” Communications in Mathematical Physics, vol. 312, no. 3. Springer, pp. 847–882, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2774
DOI: 10.1007/s00220-012-1468-1

L. Erdös and H. Yau, “A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices,” Electronic Journal of Probability, vol. 17. Institute of Mathematical Statistics, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2773
DOI: 10.1214/EJP.v17-1779

L. Erdös and D. Hasler, “Anderson localization at band edges for random magnetic fields,” Journal of Statistical Physics, vol. 146, no. 5. Springer, pp. 900–923, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2771
DOI: 10.1007/s10955-012-0445-6

P. Bourgade, L. Erdös, and H. Yau, “Bulk universality of general ;2-ensembles with non-convex potential,” Journal of Mathematical Physics, vol. 53, no. 9. American Institute of Physics, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2778
DOI: 10.1063/1.4751478

L. Erdös and D. Hasler, “Wegner estimate for random magnetic Laplacian on  2,” Annales Henri Poincare, vol. 13, no. 8. Birkhäuser, pp. 1719–1731, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2779
DOI: 10.1007/s00023-012-0177-9

L. Erdös and A. Knowles, “Quantum diffusion and eigenfunction delocalization in a random band matrix model,” Communications in Mathematical Physics, vol. 303, no. 2. Springer, pp. 509–554, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/2717
DOI: 10.1007/s00220-011-1204-2

L. Erdös, “Universality of Wigner random matrices: A survey of recent results,” Russian Mathematical Surveys, vol. 66, no. 3. IOP Publishing Ltd., pp. 507–626, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/2765
DOI: 10.1070/RM2011v066n03ABEH004749

L. Erdös and A. Knowles, “Quantum diffusion and delocalization for band matrices with general distribution,” Annales Henri Poincare, vol. 12, no. 7. Birkhäuser, pp. 1227–1319, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/2766
DOI: 10.1007/s00023-011-0104-5

L. Erdös, B. Schlein, and H. Yau, “Universality of random matrices and local relaxation flow,” Inventiones Mathematicae, vol. 185, no. 1. Springer, pp. 75–119, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/2764
DOI: 10.1007/s00222-010-0302-7

L. Erdös, B. Schlein, and H. Yau, “Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate,” Annals of Mathematics, vol. 172, no. 1. Princeton University Press, pp. 291–370, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/2704
DOI: 10.4007/annals.2010.172.291

L. Erdös, B. Schlein, and H. Yau, “Wegner estimate and level repulsion for Wigner random matrices,” International Mathematics Research Notices, no. 3. Oxford University Press, pp. 436–479, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/2701
DOI: 10.1093/imrn/rnp136

L. Erdös, J. Ramírez, H. Yau, S. Péché, and B. Schlein, “Bulk universality for Wigner matrices,” Communications on Pure and Applied Mathematics, vol. 63, no. 7. Wiley-Blackwell, pp. 895–925, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/2762
DOI: 10.1002/cpa.20317

L. Erdös, J. Ramírez, B. Schlein, and H. Yau, “Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation,” Electronic Journal of Probability, vol. 15, no. 18. Institute of Mathematical Statistics, pp. 526–603, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/2761
DOI: 10.1214/EJP.v15-768

L. Erdös and J. Solovej, “Ground state energy of large atoms in a self-generated magnetic field,” Communications in Mathematical Physics, vol. 294, no. 1. Springer, pp. 229–249, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/2756
DOI: 10.1007/s00220-009-0869-2

L. Erdös, J. Ramírez, B. Schlein, T. Tao, V. Van, and H. Yau, “Bulk universality for Wigner Hermitian matrices with subexponential decay,” Mathematical Research Letters, vol. 17, no. 4. International Press, pp. 667–674, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/2763

L. Erdös, B. Schlein, and H. Yau, “Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices,” Annals of Probability, vol. 37, no. 3. Institute of Mathematical Statistics, pp. 815–852, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/2703
DOI: 10.1214/08-AOP421

L. Erdös, A. Michelangeli, and B. Schlein, “Dynamical formation of correlations in a Bose-Einstein condensate,” Communications in Mathematical Physics, vol. 289, no. 3. Springer, pp. 1171–1210, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/2759
DOI: 10.1007/s00220-009-0828-y

L. Erdös, B. Schlein, and H. Yau, “Local semicircle law and complete delocalization for Wigner random matrices,” Communications in Mathematical Physics, vol. 287, no. 2. Springer, pp. 641–655, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/2758
DOI: 10.1007/s00220-008-0636-9