Erdös, L., &; McKenna, B. (2024). Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Annals of Applied Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/23-AAP2000 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2023). Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. Springer Nature.https://doi.org/10.1007/s00440-022-01156-7 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2023). Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. Wiley.https://doi.org/10.1002/cpa.22028 

Erdös, L., &; Xu, Y. (2023). Small deviation estimates for the largest eigenvalue of Wigner matrices. Bernoulli. Bernoulli Society for Mathematical Statistics and Probability.https://doi.org/10.3150/22-BEJ1490 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2023). On the spectral form factor for random matrices. Communications in Mathematical Physics. Springer Nature.https://doi.org/10.1007/s00220-023-04692-y 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2023). Mesoscopic central limit theorem for non-Hermitian random matrices. Probability Theory and Related Fields. Springer Nature.https://doi.org/10.1007/s00440-023-01229-1 

Dubach, G., &; Erdös, L. (2023). Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/23-ECP516 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2023). Functional central limit theorems for Wigner matrices. Annals of Applied Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/22-AAP1820 

Erdös, L., &; Ji, H. C. (2023). Functional CLT for non-Hermitian random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics.https://doi.org/10.1214/22-AIHP1304 

Sugimoto, S., Henheik, S. J., Riabov, V., &; Erdös, L. (2023). Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. Springer Nature.https://doi.org/10.1007/s10955-023-03132-4 

Cipolloni, G., Erdös, L., Henheik, S. J., &; Kolupaiev, O. (2023). Gaussian fluctuations in the equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University Press.https://doi.org/10.1017/fms.2023.70 

Cipolloni, G., Erdös, L., Schröder, D. J., &; Xu, Y. (2023). On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/23-aop1643 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2022). On the condition number of the shifted real Ginibre ensemble. SIAM Journal on Matrix Analysis and Applications. Society for Industrial and Applied Mathematics.https://doi.org/10.1137/21m1424408 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2022). Thermalisation for Wigner matrices. Journal of Functional Analysis. Elsevier.https://doi.org/10.1016/j.jfa.2022.109394 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2022). Normal fluctuation in quantum ergodicity for Wigner matrices. Annals of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/21-AOP1552 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2022). Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University Press.https://doi.org/10.1017/fms.2022.86 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2022). Density of small singular values of the shifted real Ginibre ensemble. Annales Henri Poincaré. Springer Nature.https://doi.org/10.1007/s00023-022-01188-8 

Cipolloni, G., Erdös, L., Schröder, D. J., &; Xu, Y. (2022). Directional extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics. AIP Publishing.https://doi.org/10.1063/5.0104290 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2022). Optimal multi-resolvent local laws for Wigner matrices. Electronic Journal of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/22-ejp838 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2021). Fluctuation around the circular law for random matrices with real entries. Electronic Journal of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/21-EJP591 

Bao, Z., Erdös, L., &; Schnelli, K. (2021). Equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University Press.https://doi.org/10.1017/fms.2021.38 

Erdös, L., Krüger, T. H., &; Nemish, Y. (2021). Scattering in quantum dots via noncommutative rational functions. Annales Henri Poincaré . Springer Nature.https://doi.org/10.1007/s00023-021-01085-6 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2021). Eigenstate thermalization hypothesis for Wigner matrices. Communications in Mathematical Physics. Springer Nature.https://doi.org/10.1007/s00220-021-04239-z 

Alt, J., Erdös, L., &; Krüger, T. H. (2021). Spectral radius of random matrices with independent entries. Probability and Mathematical Physics. Mathematical Sciences Publishers.https://doi.org/10.2140/pmp.2021.2.221 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2021). Edge universality for non-Hermitian random matrices. Probability Theory and Related Fields. Springer Nature.https://doi.org/10.1007/s00440-020-01003-7 

Erdös, L., Krüger, T. H., &; Nemish, Y. (2020). Local laws for polynomials of Wigner matrices. Journal of Functional Analysis. Elsevier.https://doi.org/10.1016/j.jfa.2020.108507 

Bao, Z., Erdös, L., &; Schnelli, K. (2020). On the support of the free additive convolution. Journal d’Analyse Mathematique. Springer Nature.https://doi.org/10.1007/s11854-020-0135-2 

Bao, Z., Erdös, L., &; Schnelli, K. (2020). Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. Elsevier.https://doi.org/10.1016/j.jfa.2020.108639 

Cipolloni, G., &; Erdös, L. (2020). Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Random Matrices: Theory and Application. World Scientific Publishing.https://doi.org/10.1142/S2010326320500069 

Erdös, L., Krüger, T. H., &; Schröder, D. J. (2020). Cusp universality for random matrices I: Local law and the complex Hermitian case. Communications in Mathematical Physics. Springer Nature.https://doi.org/10.1007/s00220-019-03657-4 

Alt, J., Erdös, L., &; Krüger, T. H. (2020). The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. EMS Press.https://doi.org/10.4171/dm/780 

Alt, J., Erdös, L., Krüger, T. H., &; Schröder, D. J. (2020). Correlated random matrices: Band rigidity and edge universality. Annals of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/19-AOP1379 

Cipolloni, G., Erdös, L., &; Schröder, D. J. (2020). Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Probability and Mathematical Physics. Mathematical Sciences Publishers.https://doi.org/10.2140/pmp.2020.1.101 

Erdös, L., Götze, F., &; Guionnet, A. (2020). Random matrices. Oberwolfach Reports. European Mathematical Society.https://doi.org/10.4171/owr/2019/56 

Ajanki, O. H., Erdös, L., &; Krüger, T. H. (2019). Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. Springer.https://doi.org/10.1007/s00440-018-0835-z 

Bao, Z., Erdös, L., &; Schnelli, K. (2019). Local single ring theorem on optimal scale. Annals of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/18-AOP1284 

Erdös, L., Krüger, T. H., &; Schröder, D. J. (2019). Random matrices with slow correlation decay. Forum of Mathematics, Sigma. Cambridge University Press.https://doi.org/10.1017/fms.2019.2 

Cipolloni, G., Erdös, L., Krüger, T. H., &; Schröder, D. J. (2019). Cusp universality for random matrices, II: The real symmetric case. Pure and Applied Analysis . MSP.https://doi.org/10.2140/paa.2019.1.615 

Alt, J., Erdös, L., Krüger, T. H., &; Nemish, Y. (2019). Location of the spectrum of Kronecker random matrices. Annales de l’institut Henri Poincare. Institut Henri Poincaré.https://doi.org/10.1214/18-AIHP894 

Alt, J., Erdös, L., &; Krüger, T. H. (2018). Local inhomogeneous circular law. Annals Applied Probability . Institute of Mathematical Statistics.https://doi.org/10.1214/17-AAP1302 

Erdös, L., Krüger, T. H., &; Renfrew, D. T. (2018). Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics .https://doi.org/10.1137/17M1143125 

Erdös, L., &; Mühlbacher, P. (2018). Bounds on the norm of Wigner-type random matrices. Random Matrices: Theory and Applications. World Scientific Publishing.https://doi.org/10.1142/s2010326319500096 

Erdös, L., &; Schröder, D. J. (2018). Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues. International Mathematics Research Notices. Oxford University Press.https://doi.org/10.1093/imrn/rnw330 

Alt, J., Erdös, L., &; Krüger, T. H. (n.d.). The Dyson equation with linear self-energy: Spectral bands, edges and  cusps. arXiv.

Bourgade, P., Erdös, L., Yau, H., &; Yin, J. (2017). Universality for a class of random band matrices. Advances in Theoretical and Mathematical Physics. International Press.https://doi.org/10.4310/ATMP.2017.v21.n3.a5 

Erdös, L., &; Yau, H. (2017). A Dynamical Approach to Random Matrix Theory (Vol. 28). American Mathematical Society.https://doi.org/10.1090/cln/028 

Erdös, L., &; Schnelli, K. (2017). Universality for random matrix flows with time dependent density. Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics.https://doi.org/10.1214/16-AIHP765 

Ajanki, O. H., Krüger, T. H., &; Erdös, L. (2017). Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. Wiley-Blackwell.https://doi.org/10.1002/cpa.21639 

Erdös, L., &; Schröder, D. J. (2017). Fluctuations of functions of Wigner matrices. Electronic Communications in Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/16-ECP38 

Bao, Z., &; Erdös, L. (2017). Delocalization for a class of random block band matrices. Probability Theory and Related Fields. Springer.https://doi.org/10.1007/s00440-015-0692-y 

Ajanki, O. H., Erdös, L., &; Krüger, T. H. (2017). Universality for general Wigner-type matrices. Probability Theory and Related Fields. Springer.https://doi.org/10.1007/s00440-016-0740-2 

Bao, Z., Erdös, L., &; Schnelli, K. (2017). Local law of addition of random matrices on optimal scale. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-016-2805-6 

Alt, J., Erdös, L., &; Krüger, T. H. (2017). Local law for random Gram matrices. Electronic Journal of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/17-EJP42 

Bao, Z., Erdös, L., &; Schnelli, K. (2017). Convergence rate for spectral distribution of addition of random matrices. Advances in Mathematics. Academic Press.https://doi.org/10.1016/j.aim.2017.08.028 

Bourgade, P., Erdös, L., Yau, H., &; Yin, J. (2016). Fixed energy universality for generalized wigner matrices. Communications on Pure and Applied Mathematics. Wiley-Blackwell.https://doi.org/10.1002/cpa.21624 

Bao, Z., Erdös, L., &; Schnelli, K. (2016). Local stability of the free additive convolution. Journal of Functional Analysis. Academic Press.https://doi.org/10.1016/j.jfa.2016.04.006 

Ajanki, O. H., Erdös, L., &; Krüger, T. H. (2016). Local spectral statistics of Gaussian matrices with correlated entries. Journal of Statistical Physics. Springer.https://doi.org/10.1007/s10955-016-1479-y 

Erdös, L., &; Yau, H. (2015). Gap universality of generalized Wigner and ;2 ensembles. Journal of the European Mathematical Society. European Mathematical Society.https://doi.org/10.4171/JEMS/548 

Erdös, L., &; Knowles, A. (2015). The Altshuler–Shklovskii formulas for random band matrices II: The general case. Annales Henri Poincare. Springer.https://doi.org/10.1007/s00023-014-0333-5 

Erdös, L., &; Knowles, A. (2015). The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-014-2119-5 

Bourgade, P., Erdös, L., &; Yau, H. (2014). Edge universality of beta ensembles. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-014-2120-z 

Erdös, L., &; Schröder, D. J. (2014). Phase transition in the density of states of quantum spin glasses. Mathematical Physics, Analysis and Geometry. Springer.https://doi.org/10.1007/s11040-014-9164-3 

Ajanki, O. H., Erdös, L., &; Krüger, T. H. (2014). Local semicircle law with imprimitive variance matrix. Electronic Communications in Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/ECP.v19-3121 

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. Institute of Mathematical Statistics.https://doi.org/10.1214/EJP.v19-3054 

Erdös, L., Bourgade, P., &; Yau, H. (2014). Universality of general ;2-ensembles. Duke Mathematical Journal. Duke University Press.https://doi.org/10.1215/00127094-2649752 

Erdös, L. (2014). Random matrices, log-gases and Hölder regularity. In Proceedings of the International Congress of Mathematicians (Vol. 3, pp. 214–236). Seoul, Korea: International Congress of Mathematicians.

Erdös, L., Fournais, S., &; Solovej, J. (2013). Stability and semiclassics in self-generated fields. Journal of the European Mathematical Society. European Mathematical Society.https://doi.org/10.4171/JEMS/416 

Erdös, L., Knowles, A., Yau, H., &; Yin, J. (2013). Delocalization and diffusion profile for random band matrices. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-013-1773-3 

Erdös, L., &; Farrell, B. (2013). Local eigenvalue density for general MANOVA matrices. Journal of Statistical Physics. Springer.https://doi.org/10.1007/s10955-013-0807-8 

Erdös, L., Knowles, A., Yau, H., &; Yin, J. (2013). Spectral statistics of Erds-Rényi graphs I: Local semicircle law. Annals of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/11-AOP734 

Erdös, L., Knowles, A., &; Yau, H. (2013). Averaging fluctuations in resolvents of random band matrices. Annales Henri Poincare. Birkhäuser.https://doi.org/10.1007/s00023-013-0235-y 

Erdös, L., Knowles, A., Yau, H., &; Yin, J. (2013). The local semicircle law for a general class of random matrices. Electronic Journal of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/EJP.v18-2473 

Erdös, L. (2012). Universality for random matrices and log-gases. ArXiv. ArXiv.

Erdös, L. (2012). Lecture notes on quantum Brownian motion (Vol. 95, pp. 3–98). Presented at the Les Houches Summer School 2010, Oxford University Press.

Erdös, L., Yau, H., &; Yin, J. (2012). Rigidity of eigenvalues of generalized Wigner matrices. Advances in Mathematics. Academic Press.https://doi.org/10.1016/j.aim.2011.12.010 

Erdös, L., Schlein, B., Yau, H., &; Yin, J. (2012). The local relaxation flow approach to universality of the local statistics for random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics.https://doi.org/10.1214/10-AIHP388 

Erdös, L., Yau, H., &; Yin, J. (2012). Bulk universality for generalized Wigner matrices. Probability Theory and Related Fields. Springer.https://doi.org/10.1007/s00440-011-0390-3 

Erdös, L., &; Hasler, D. (2012). Wegner estimate and Anderson localization for random magnetic fields. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-011-1373-z 

Erdös, L., &; Yau, H. (2012). Universality of local spectral statistics of random matrices. Bulletin of the American Mathematical Society. American Mathematical Society.https://doi.org/10.1090/S0273-0979-2012-01372-1 

Erdös, L., Fournais, S., &; Solovej, J. (2012). Relativistic Scott correction in self-generated magnetic fields. Journal of Mathematical Physics. American Institute of Physics.https://doi.org/10.1063/1.3697417 

Erdös, L., Fournais, S., &; Solovej, J. (2012). Second order semiclassics with self generated magnetic fields. Annales Henri Poincare. Birkhäuser.https://doi.org/10.1007/s00023-011-0150-z 

Erdös, L., Knowles, A., Yau, H., &; Yin, J. (2012). Spectral statistics of Erds-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-012-1527-7 

Erdös, L., Fournais, S., &; Solovej, J. (2012). Scott correction for large atoms and molecules in a self-generated magnetic field. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-012-1468-1 

Erdös, L., &; Yau, H. (2012). A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Electronic Journal of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/EJP.v17-1779 

Erdös, L., &; Hasler, D. (2012). Anderson localization at band edges for random magnetic fields. Journal of Statistical Physics. Springer.https://doi.org/10.1007/s10955-012-0445-6 

Bourgade, P., Erdös, L., &; Yau, H. (2012). Bulk universality of general ;2-ensembles with non-convex potential. Journal of Mathematical Physics. American Institute of Physics.https://doi.org/10.1063/1.4751478 

Erdös, L., &; Hasler, D. (2012). Wegner estimate for random magnetic Laplacian onhttps://doi.org/10.1007/s00023-012-0177-9__2. Annales Henri Poincare. Birkhäuser.https://doi.org/10.1007/s00023-012-0177-9 

Erdös, L., &; Knowles, A. (2011). Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-011-1204-2 

Erdös, L. (2011). Universality of Wigner random matrices: A survey of recent results. Russian Mathematical Surveys. IOP Publishing Ltd.https://doi.org/10.1070/RM2011v066n03ABEH004749 

Erdös, L., &; Knowles, A. (2011). Quantum diffusion and delocalization for band matrices with general distribution. Annales Henri Poincare. Birkhäuser.https://doi.org/10.1007/s00023-011-0104-5 

Erdös, L., Schlein, B., &; Yau, H. (2011). Universality of random matrices and local relaxation flow. Inventiones Mathematicae. Springer.https://doi.org/10.1007/s00222-010-0302-7 

Erdös, L., Schlein, B., &; Yau, H. (2010). Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Annals of Mathematics. Princeton University Press.https://doi.org/10.4007/annals.2010.172.291 

Erdös, L., Schlein, B., &; Yau, H. (2010). Wegner estimate and level repulsion for Wigner random matrices. International Mathematics Research Notices. Oxford University Press.https://doi.org/10.1093/imrn/rnp136 

Erdös, L., Ramírez, J., Yau, H., Péché, S., &; Schlein, B. (2010). Bulk universality for Wigner matrices. Communications on Pure and Applied Mathematics. Wiley-Blackwell.https://doi.org/10.1002/cpa.20317 

Erdös, L., Ramírez, J., Schlein, B., &; Yau, H. (2010). Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Electronic Journal of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/EJP.v15-768 

Erdös, L., &; Solovej, J. (2010). Ground state energy of large atoms in a self-generated magnetic field. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-009-0869-2 

Erdös, L., Ramírez, J., Schlein, B., Tao, T., Van, V., &; Yau, H. (2010). Bulk universality for Wigner Hermitian matrices with subexponential decay. Mathematical Research Letters. International Press.

Erdös, L., Schlein, B., &; Yau, H. (2009). Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Annals of Probability. Institute of Mathematical Statistics.https://doi.org/10.1214/08-AOP421 

Erdös, L., Michelangeli, A., &; Schlein, B. (2009). Dynamical formation of correlations in a Bose-Einstein condensate. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-009-0828-y 

Erdös, L., Schlein, B., &; Yau, H. (2009). Local semicircle law and complete delocalization for Wigner random matrices. Communications in Mathematical Physics. Springer.https://doi.org/10.1007/s00220-008-0636-9