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DOI: 10.1214/23-AAP2000
arXiv: 2208.12206

Cipolloni, Giorgio, et al. “Quenched Universality for Deformed Wigner Matrices.”10.1007/s00440-022-01156-7__Probability Theory and Related Fields, vol. 185, Springer Nature, 2023, pp. 1183–1218, doi:10.1007/s00440-022-01156-7.
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WoS: 000830344500001
arXiv: 2106.10200

Cipolloni, Giorgio, et al. “Central Limit Theorem for Linear Eigenvalue Statistics of Non-Hermitian Random Matrices.”10.1002/cpa.22028__Communications on Pure and Applied Mathematics, vol. 76, no. 5, Wiley, 2023, pp. 946–1034, doi:10.1002/cpa.22028.
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WoS: 000724652500001
arXiv: 1912.04100

Erdös, László, and Yuanyuan Xu. “Small Deviation Estimates for the Largest Eigenvalue of Wigner Matrices.”10.3150/22-BEJ1490__Bernoulli, vol. 29, no. 2, Bernoulli Society for Mathematical Statistics and Probability, 2023, pp. 1063–79, doi:10.3150/22-BEJ1490.
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WoS: 000947270100008
arXiv: 2112.12093 

Cipolloni, Giorgio, et al. “On the Spectral Form Factor for Random Matrices.”10.1007/s00220-023-04692-y__Communications in Mathematical Physics, vol. 401, Springer Nature, 2023, pp. 1665–700, doi:10.1007/s00220-023-04692-y.
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Cipolloni, Giorgio, et al. “Mesoscopic Central Limit Theorem for Non-Hermitian Random Matrices.”10.1007/s00440-023-01229-1__Probability Theory and Related Fields, Springer Nature, 2023, doi:10.1007/s00440-023-01229-1.
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Dubach, Guillaume, and László Erdös. “Dynamics of a Rank-One Perturbation of a Hermitian Matrix.”10.1214/23-ECP516__Electronic Communications in Probability, vol. 28, Institute of Mathematical Statistics, 2023, pp. 1–13, doi:10.1214/23-ECP516.
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WoS: 000950650200005
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Cipolloni, Giorgio, et al. “Functional Central Limit Theorems for Wigner Matrices.”10.1214/22-AAP1820__Annals of Applied Probability, vol. 33, no. 1, Institute of Mathematical Statistics, 2023, pp. 447–89, doi:10.1214/22-AAP1820.
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Erdös, László, and Hong Chang Ji. “Functional CLT for Non-Hermitian Random Matrices.”10.1214/22-AIHP1304__Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 59, no. 4, Institute of Mathematical Statistics, 2023, pp. 2083–105, doi:10.1214/22-AIHP1304.
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Sugimoto, Shoki, et al. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.”10.1007/s10955-023-03132-4__Journal of Statistical Physics, vol. 190, no. 7, 128, Springer Nature, 2023, doi:10.1007/s10955-023-03132-4.
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Cipolloni, Giorgio, et al. “Gaussian Fluctuations in the Equipartition Principle for Wigner Matrices.”10.1017/fms.2023.70__Forum of Mathematics, Sigma, vol. 11, e74, Cambridge University Press, 2023, doi:10.1017/fms.2023.70.
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WoS: 001051980200001
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Cipolloni, Giorgio, et al. “On the Rightmost Eigenvalue of Non-Hermitian Random Matrices.”10.1214/23-aop1643__The Annals of Probability, vol. 51, no. 6, Institute of Mathematical Statistics, 2023, pp. 2192–242, doi:10.1214/23-aop1643.
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arXiv: 2206.04448

Cipolloni, Giorgio, et al. “On the Condition Number of the Shifted Real Ginibre Ensemble.”10.1137/21m1424408__SIAM Journal on Matrix Analysis and Applications, vol. 43, no. 3, Society for Industrial and Applied Mathematics, 2022, pp. 1469–87, doi:10.1137/21m1424408.
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Cipolloni, Giorgio, et al. “Thermalisation for Wigner Matrices.”10.1016/j.jfa.2022.109394__Journal of Functional Analysis, vol. 282, no. 8, 109394, Elsevier, 2022, doi:10.1016/j.jfa.2022.109394.
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WoS: 000781239100004
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Cipolloni, Giorgio, et al. “Normal Fluctuation in Quantum Ergodicity for Wigner Matrices.”10.1214/21-AOP1552__Annals of Probability, vol. 50, no. 3, Institute of Mathematical Statistics, 2022, pp. 984–1012, doi:10.1214/21-AOP1552.
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Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.”10.1017/fms.2022.86__Forum of Mathematics, Sigma, vol. 10, e96, Cambridge University Press, 2022, doi:10.1017/fms.2022.86.
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Cipolloni, Giorgio, et al. “Density of Small Singular Values of the Shifted Real Ginibre Ensemble.”10.1007/s00023-022-01188-8__Annales Henri Poincaré, vol. 23, no. 11, Springer Nature, 2022, pp. 3981–4002, doi:10.1007/s00023-022-01188-8.
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Cipolloni, Giorgio, et al. “Directional Extremal Statistics for Ginibre Eigenvalues.”10.1063/5.0104290__Journal of Mathematical Physics, vol. 63, no. 10, 103303, AIP Publishing, 2022, doi:10.1063/5.0104290.
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Cipolloni, Giorgio, et al. “Optimal Multi-Resolvent Local Laws for Wigner Matrices.”10.1214/22-ejp838__Electronic Journal of Probability, vol. 27, Institute of Mathematical Statistics, 2022, pp. 1–38, doi:10.1214/22-ejp838.
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Cipolloni, Giorgio, et al. “Fluctuation around the Circular Law for Random Matrices with Real Entries.”10.1214/21-EJP591__Electronic Journal of Probability, vol. 26, 24, Institute of Mathematical Statistics, 2021, doi:10.1214/21-EJP591.
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Bao, Zhigang, et al. “Equipartition Principle for Wigner Matrices.”10.1017/fms.2021.38__Forum of Mathematics, Sigma, vol. 9, e44, Cambridge University Press, 2021, doi:10.1017/fms.2021.38.
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Erdös, László, et al. “Scattering in Quantum Dots via Noncommutative Rational Functions.”10.1007/s00023-021-01085-6__Annales Henri Poincaré , vol. 22, Springer Nature, 2021, pp. 4205–4269, doi:10.1007/s00023-021-01085-6.
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Cipolloni, Giorgio, et al. “Eigenstate Thermalization Hypothesis for Wigner Matrices.”10.1007/s00220-021-04239-z__Communications in Mathematical Physics, vol. 388, no. 2, Springer Nature, 2021, pp. 1005–1048, doi:10.1007/s00220-021-04239-z.
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Alt, Johannes, et al. “Spectral Radius of Random Matrices with Independent Entries.”10.2140/pmp.2021.2.221__Probability and Mathematical Physics, vol. 2, no. 2, Mathematical Sciences Publishers, 2021, pp. 221–80, doi:10.2140/pmp.2021.2.221.
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Cipolloni, Giorgio, et al. “Edge Universality for Non-Hermitian Random Matrices.”10.1007/s00440-020-01003-7__Probability Theory and Related Fields, Springer Nature, 2021, doi:10.1007/s00440-020-01003-7.
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Erdös, László, et al. “Local Laws for Polynomials of Wigner Matrices.”10.1016/j.jfa.2020.108507__Journal of Functional Analysis, vol. 278, no. 12, 108507, Elsevier, 2020, doi:10.1016/j.jfa.2020.108507.
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Bao, Zhigang, et al. “On the Support of the Free Additive Convolution.”10.1007/s11854-020-0135-2__Journal d’Analyse Mathematique, vol. 142, Springer Nature, 2020, pp. 323–48, doi:10.1007/s11854-020-0135-2.
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Bao, Zhigang, et al. “Spectral Rigidity for Addition of Random Matrices at the Regular Edge.”10.1016/j.jfa.2020.108639__Journal of Functional Analysis, vol. 279, no. 7, 108639, Elsevier, 2020, doi:10.1016/j.jfa.2020.108639.
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Cipolloni, Giorgio, and László Erdös. “Fluctuations for Differences of Linear Eigenvalue Statistics for Sample Covariance Matrices.”10.1142/S2010326320500069__Random Matrices: Theory and Application, vol. 9, no. 3, 2050006, World Scientific Publishing, 2020, doi:10.1142/S2010326320500069.
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Erdös, László, et al. “Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case.”10.1007/s00220-019-03657-4__Communications in Mathematical Physics, vol. 378, Springer Nature, 2020, pp. 1203–78, doi:10.1007/s00220-019-03657-4.
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Alt, Johannes, et al. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and Cusps.”10.4171/dm/780__Documenta Mathematica, vol. 25, EMS Press, 2020, pp. 1421–539, doi:10.4171/dm/780.
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Alt, Johannes, et al. “Correlated Random Matrices: Band Rigidity and Edge Universality.”10.1214/19-AOP1379__Annals of Probability, vol. 48, no. 2, Institute of Mathematical Statistics, 2020, pp. 963–1001, doi:10.1214/19-AOP1379.
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Cipolloni, Giorgio, et al. “Optimal Lower Bound on the Least Singular Value of the Shifted Ginibre Ensemble.”10.2140/pmp.2020.1.101__Probability and Mathematical Physics, vol. 1, no. 1, Mathematical Sciences Publishers, 2020, pp. 101–46, doi:10.2140/pmp.2020.1.101.
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Erdös, László, et al. “Random Matrices.”10.4171/owr/2019/56__Oberwolfach Reports, vol. 16, no. 4, European Mathematical Society, 2020, pp. 3459–527, doi:10.4171/owr/2019/56.
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Ajanki, Oskari H., et al. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.”10.1007/s00440-018-0835-z__Probability Theory and Related Fields, vol. 173, no. 1–2, Springer, 2019, pp. 293–373, doi:10.1007/s00440-018-0835-z.
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Bao, Zhigang, et al. “Local Single Ring Theorem on Optimal Scale.”10.1214/18-AOP1284__Annals of Probability, vol. 47, no. 3, Institute of Mathematical Statistics, 2019, pp. 1270–334, doi:10.1214/18-AOP1284.
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Erdös, László, et al. “Random Matrices with Slow Correlation Decay.”10.1017/fms.2019.2__Forum of Mathematics, Sigma, vol. 7, e8, Cambridge University Press, 2019, doi:10.1017/fms.2019.2.
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Cipolloni, Giorgio, et al. “Cusp Universality for Random Matrices, II: The Real Symmetric Case.”10.2140/paa.2019.1.615__Pure and Applied Analysis , vol. 1, no. 4, MSP, 2019, pp. 615–707, doi:10.2140/paa.2019.1.615.
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Alt, Johannes, et al. “Location of the Spectrum of Kronecker Random Matrices.”10.1214/18-AIHP894__Annales de l’institut Henri Poincare, vol. 55, no. 2, Institut Henri Poincaré, 2019, pp. 661–96, doi:10.1214/18-AIHP894.
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Alt, Johannes, et al. “Local Inhomogeneous Circular Law.”10.1214/17-AAP1302__Annals Applied Probability , vol. 28, no. 1, Institute of Mathematical Statistics, 2018, pp. 148–203, doi:10.1214/17-AAP1302.
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Erdös, László, et al. “Power Law Decay for Systems of Randomly Coupled Differential Equations.”10.1137/17M1143125__SIAM Journal on Mathematical Analysis, vol. 50, no. 3, Society for Industrial and Applied Mathematics , 2018, pp. 3271–90, doi:10.1137/17M1143125.
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Erdös, László, and Peter Mühlbacher. “Bounds on the Norm of Wigner-Type Random Matrices.”10.1142/s2010326319500096__Random Matrices: Theory and Applications, 1950009, World Scientific Publishing, 2018, doi:10.1142/s2010326319500096.
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Erdös, László, and Dominik J. Schröder. “Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues.”10.1093/imrn/rnw330__International Mathematics Research Notices, vol. 2018, no. 10, Oxford University Press, 2018, pp. 3255–98, doi:10.1093/imrn/rnw330.
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Alt, Johannes, et al. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and  Cusps.” ArXiv, 1804.07752.
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Bourgade, Paul, et al. “Universality for a Class of Random Band Matrices.”10.4310/ATMP.2017.v21.n3.a5__Advances in Theoretical and Mathematical Physics, vol. 21, no. 3, International Press, 2017, pp. 739–800, doi:10.4310/ATMP.2017.v21.n3.a5.
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Erdös, László, and Horng Yau. A Dynamical Approach to Random Matrix Theory. Vol. 28, American Mathematical Society, 2017, doi:10.1090/cln/028.
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Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.”10.1214/16-AIHP765__Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 53, no. 4, Institute of Mathematical Statistics, 2017, pp. 1606–56, doi:10.1214/16-AIHP765.
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Ajanki, Oskari H., et al. “Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half Plane.”10.1002/cpa.21639__Communications on Pure and Applied Mathematics, vol. 70, no. 9, Wiley-Blackwell, 2017, pp. 1672–705, doi:10.1002/cpa.21639.
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Erdös, László, and Dominik J. Schröder. “Fluctuations of Functions of Wigner Matrices.”10.1214/16-ECP38__Electronic Communications in Probability, vol. 21, 86, Institute of Mathematical Statistics, 2017, doi:10.1214/16-ECP38.
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Bao, Zhigang, and László Erdös. “Delocalization for a Class of Random Block Band Matrices.”10.1007/s00440-015-0692-y__Probability Theory and Related Fields, vol. 167, no. 3–4, Springer, 2017, pp. 673–776, doi:10.1007/s00440-015-0692-y.
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Ajanki, Oskari H., et al. “Universality for General Wigner-Type Matrices.”10.1007/s00440-016-0740-2__Probability Theory and Related Fields, vol. 169, no. 3–4, Springer, 2017, pp. 667–727, doi:10.1007/s00440-016-0740-2.
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Bao, Zhigang, et al. “Local Law of Addition of Random Matrices on Optimal Scale.”10.1007/s00220-016-2805-6__Communications in Mathematical Physics, vol. 349, no. 3, Springer, 2017, pp. 947–90, doi:10.1007/s00220-016-2805-6.
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Alt, Johannes, et al. “Local Law for Random Gram Matrices.”10.1214/17-EJP42__Electronic Journal of Probability, vol. 22, 25, Institute of Mathematical Statistics, 2017, doi:10.1214/17-EJP42.
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Bao, Zhigang, et al. “Convergence Rate for Spectral Distribution of Addition of Random Matrices.”10.1016/j.aim.2017.08.028__Advances in Mathematics, vol. 319, Academic Press, 2017, pp. 251–91, doi:10.1016/j.aim.2017.08.028.
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Bourgade, Paul, et al. “Fixed Energy Universality for Generalized Wigner Matrices.”10.1002/cpa.21624__Communications on Pure and Applied Mathematics, vol. 69, no. 10, Wiley-Blackwell, 2016, pp. 1815–81, doi:10.1002/cpa.21624.
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Bao, Zhigang, et al. “Local Stability of the Free Additive Convolution.”10.1016/j.jfa.2016.04.006__Journal of Functional Analysis, vol. 271, no. 3, Academic Press, 2016, pp. 672–719, doi:10.1016/j.jfa.2016.04.006.
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Ajanki, Oskari H., et al. “Local Spectral Statistics of Gaussian Matrices with Correlated Entries.”10.1007/s10955-016-1479-y__Journal of Statistical Physics, vol. 163, no. 2, Springer, 2016, pp. 280–302, doi:10.1007/s10955-016-1479-y.
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Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and ;2 Ensembles.”10.4171/JEMS/548__Journal of the European Mathematical Society, vol. 17, no. 8, European Mathematical Society, 2015, pp. 1927–2036, doi:10.4171/JEMS/548.
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Erdös, László, and Antti Knowles. “The Altshuler–Shklovskii Formulas for Random Band Matrices II: The General Case.”10.1007/s00023-014-0333-5__Annales Henri Poincare, vol. 16, no. 3, Springer, 2015, pp. 709–99, doi:10.1007/s00023-014-0333-5.
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Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for Random Band Matrices I: The Unimodular Case.”10.1007/s00220-014-2119-5__Communications in Mathematical Physics, vol. 333, no. 3, Springer, 2015, pp. 1365–416, doi:10.1007/s00220-014-2119-5.
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Bourgade, Paul, et al. “Edge Universality of Beta Ensembles.”10.1007/s00220-014-2120-z__Communications in Mathematical Physics, vol. 332, no. 1, Springer, 2014, pp. 261–353, doi:10.1007/s00220-014-2120-z.
LibreCat: https://research-explorer.ista.ac.at/record/1937
DOI: 10.1007/s00220-014-2120-z

Erdös, László, and Dominik J. Schröder. “Phase Transition in the Density of States of Quantum Spin Glasses.”10.1007/s11040-014-9164-3__Mathematical Physics, Analysis and Geometry, vol. 17, no. 3–4, Springer, 2014, pp. 441–64, doi:10.1007/s11040-014-9164-3.
LibreCat: https://research-explorer.ista.ac.at/record/2019
DOI: 10.1007/s11040-014-9164-3

Ajanki, Oskari H., et al. “Local Semicircle Law with Imprimitive Variance Matrix.”10.1214/ECP.v19-3121__Electronic Communications in Probability, vol. 19, Institute of Mathematical Statistics, 2014, doi:10.1214/ECP.v19-3121.
LibreCat: https://research-explorer.ista.ac.at/record/2179
DOI: 10.1214/ECP.v19-3121

Bloemendal, Alex, et al. “Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices.”10.1214/EJP.v19-3054__Electronic Journal of Probability, vol. 19, 33, Institute of Mathematical Statistics, 2014, doi:10.1214/EJP.v19-3054.
LibreCat: https://research-explorer.ista.ac.at/record/2225
DOI: 10.1214/EJP.v19-3054

Erdös, László, et al. “Universality of General ;2-Ensembles.”10.1215/00127094-2649752__Duke Mathematical Journal, vol. 163, no. 6, Duke University Press, 2014, pp. 1127–90, doi:10.1215/00127094-2649752.
LibreCat: https://research-explorer.ista.ac.at/record/2699
DOI: 10.1215/00127094-2649752

Erdös, László. “Random Matrices, Log-Gases and Hölder Regularity.” Proceedings of the International Congress of Mathematicians, vol. 3, International Congress of Mathematicians, 2014, pp. 214–36.
LibreCat: https://research-explorer.ista.ac.at/record/1507

Erdös, László, et al. “Stability and Semiclassics in Self-Generated Fields.”10.4171/JEMS/416__Journal of the European Mathematical Society, vol. 15, no. 6, European Mathematical Society, 2013, pp. 2093–113, doi:10.4171/JEMS/416.
LibreCat: https://research-explorer.ista.ac.at/record/2698
DOI: 10.4171/JEMS/416
arXiv: 1105.0506

Erdös, László, et al. “Delocalization and Diffusion Profile for Random Band Matrices.”10.1007/s00220-013-1773-3__Communications in Mathematical Physics, vol. 323, no. 1, Springer, 2013, pp. 367–416, doi:10.1007/s00220-013-1773-3.
LibreCat: https://research-explorer.ista.ac.at/record/2697
DOI: 10.1007/s00220-013-1773-3

Erdös, László, and Brendan Farrell. “Local Eigenvalue Density for General MANOVA Matrices.”10.1007/s10955-013-0807-8__Journal of Statistical Physics, vol. 152, no. 6, Springer, 2013, pp. 1003–32, doi:10.1007/s10955-013-0807-8.
LibreCat: https://research-explorer.ista.ac.at/record/2782
DOI: 10.1007/s10955-013-0807-8
arXiv: 1207.0031

Erdös, László, et al. “Spectral Statistics of Erds-Rényi Graphs I: Local Semicircle Law.”10.1214/11-AOP734__Annals of Probability, vol. 41, no. 3 B, Institute of Mathematical Statistics, 2013, pp. 2279–375, doi:10.1214/11-AOP734.
LibreCat: https://research-explorer.ista.ac.at/record/2781
DOI: 10.1214/11-AOP734

Erdös, László, et al. “Averaging Fluctuations in Resolvents of Random Band Matrices.”10.1007/s00023-013-0235-y__Annales Henri Poincare, vol. 14, no. 8, Birkhäuser, 2013, pp. 1837–926, doi:10.1007/s00023-013-0235-y.
LibreCat: https://research-explorer.ista.ac.at/record/2780
DOI: 10.1007/s00023-013-0235-y

Erdös, László, et al. “The Local Semicircle Law for a General Class of Random Matrices.”10.1214/EJP.v18-2473__Electronic Journal of Probability, vol. 18, no. 59, Institute of Mathematical Statistics, 2013, pp. 1–58, doi:10.1214/EJP.v18-2473.
LibreCat: https://research-explorer.ista.ac.at/record/2837
DOI: 10.1214/EJP.v18-2473

Erdös, László. “Universality for Random Matrices and Log-Gases.” ArXiv, ArXiv, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2696

Erdös, László. Lecture Notes on Quantum Brownian Motion. Vol. 95, Oxford University Press, 2012, pp. 3–98.
LibreCat: https://research-explorer.ista.ac.at/record/2700

Erdös, László, et al. “Rigidity of Eigenvalues of Generalized Wigner Matrices.”10.1016/j.aim.2011.12.010__Advances in Mathematics, vol. 229, no. 3, Academic Press, 2012, pp. 1435–515, doi:10.1016/j.aim.2011.12.010.
LibreCat: https://research-explorer.ista.ac.at/record/2770
DOI: 10.1016/j.aim.2011.12.010

Erdös, László, et al. “The Local Relaxation Flow Approach to Universality of the Local Statistics for Random Matrices.”10.1214/10-AIHP388__Annales de l’institut Henri Poincare (B) Probability and Statistics, vol. 48, no. 1, Institute of Mathematical Statistics, 2012, pp. 1–46, doi:10.1214/10-AIHP388.
LibreCat: https://research-explorer.ista.ac.at/record/2769
DOI: 10.1214/10-AIHP388

Erdös, László, et al. “Bulk Universality for Generalized Wigner Matrices.”10.1007/s00440-011-0390-3__Probability Theory and Related Fields, vol. 154, no. 1–2, Springer, 2012, pp. 341–407, doi:10.1007/s00440-011-0390-3.
LibreCat: https://research-explorer.ista.ac.at/record/2767
DOI: 10.1007/s00440-011-0390-3

Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization for Random Magnetic Fields.”10.1007/s00220-011-1373-z__Communications in Mathematical Physics, vol. 309, no. 2, Springer, 2012, pp. 507–42, doi:10.1007/s00220-011-1373-z.
LibreCat: https://research-explorer.ista.ac.at/record/2768
DOI: 10.1007/s00220-011-1373-z

Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics of Random Matrices.”10.1090/S0273-0979-2012-01372-1__Bulletin of the American Mathematical Society, vol. 49, no. 3, American Mathematical Society, 2012, pp. 377–414, doi:10.1090/S0273-0979-2012-01372-1.
LibreCat: https://research-explorer.ista.ac.at/record/2775
DOI: 10.1090/S0273-0979-2012-01372-1

Erdös, László, et al. “Relativistic Scott Correction in Self-Generated Magnetic Fields.”10.1063/1.3697417__Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697417.
LibreCat: https://research-explorer.ista.ac.at/record/2777
DOI: 10.1063/1.3697417

Erdös, László, et al. “Second Order Semiclassics with Self Generated Magnetic Fields.”10.1007/s00023-011-0150-z__Annales Henri Poincare, vol. 13, no. 4, Birkhäuser, 2012, pp. 671–730, doi:10.1007/s00023-011-0150-z.
LibreCat: https://research-explorer.ista.ac.at/record/2772
DOI: 10.1007/s00023-011-0150-z

Erdös, László, et al. “Spectral Statistics of Erds-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues.”10.1007/s00220-012-1527-7__Communications in Mathematical Physics, vol. 314, no. 3, Springer, 2012, pp. 587–640, doi:10.1007/s00220-012-1527-7.
LibreCat: https://research-explorer.ista.ac.at/record/2776
DOI: 10.1007/s00220-012-1527-7

Erdös, László, et al. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.”10.1007/s00220-012-1468-1__Communications in Mathematical Physics, vol. 312, no. 3, Springer, 2012, pp. 847–82, doi:10.1007/s00220-012-1468-1.
LibreCat: https://research-explorer.ista.ac.at/record/2774
DOI: 10.1007/s00220-012-1468-1

Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices.”10.1214/EJP.v17-1779__Electronic Journal of Probability, vol. 17, Institute of Mathematical Statistics, 2012, doi:10.1214/EJP.v17-1779.
LibreCat: https://research-explorer.ista.ac.at/record/2773
DOI: 10.1214/EJP.v17-1779

Erdös, László, and David Hasler. “Anderson Localization at Band Edges for Random Magnetic Fields.”10.1007/s10955-012-0445-6__Journal of Statistical Physics, vol. 146, no. 5, Springer, 2012, pp. 900–23, doi:10.1007/s10955-012-0445-6.
LibreCat: https://research-explorer.ista.ac.at/record/2771
DOI: 10.1007/s10955-012-0445-6

Bourgade, Paul, et al. “Bulk Universality of General ;2-Ensembles with Non-Convex Potential.”10.1063/1.4751478__Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.4751478.
LibreCat: https://research-explorer.ista.ac.at/record/2778
DOI: 10.1063/1.4751478

Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on10.1007/s00023-012-0177-9__2.”10.1007/s00023-012-0177-9__Annales Henri Poincare, vol. 13, no. 8, Birkhäuser, 2012, pp. 1719–31, doi:10.1007/s00023-012-0177-9.
LibreCat: https://research-explorer.ista.ac.at/record/2779
DOI: 10.1007/s00023-012-0177-9

Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.”10.1007/s00220-011-1204-2__Communications in Mathematical Physics, vol. 303, no. 2, Springer, 2011, pp. 509–54, doi:10.1007/s00220-011-1204-2.
LibreCat: https://research-explorer.ista.ac.at/record/2717
DOI: 10.1007/s00220-011-1204-2

Erdös, László. “Universality of Wigner Random Matrices: A Survey of Recent Results.”10.1070/RM2011v066n03ABEH004749__Russian Mathematical Surveys, vol. 66, no. 3, IOP Publishing Ltd., 2011, pp. 507–626, doi:10.1070/RM2011v066n03ABEH004749.
LibreCat: https://research-explorer.ista.ac.at/record/2765
DOI: 10.1070/RM2011v066n03ABEH004749

Erdös, László, and Antti Knowles. “Quantum Diffusion and Delocalization for Band Matrices with General Distribution.”10.1007/s00023-011-0104-5__Annales Henri Poincare, vol. 12, no. 7, Birkhäuser, 2011, pp. 1227–319, doi:10.1007/s00023-011-0104-5.
LibreCat: https://research-explorer.ista.ac.at/record/2766
DOI: 10.1007/s00023-011-0104-5

Erdös, László, et al. “Universality of Random Matrices and Local Relaxation Flow.”10.1007/s00222-010-0302-7__Inventiones Mathematicae, vol. 185, no. 1, Springer, 2011, pp. 75–119, doi:10.1007/s00222-010-0302-7.
LibreCat: https://research-explorer.ista.ac.at/record/2764
DOI: 10.1007/s00222-010-0302-7

Erdös, László, et al. “Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate.”10.4007/annals.2010.172.291__Annals of Mathematics, vol. 172, no. 1, Princeton University Press, 2010, pp. 291–370, doi:10.4007/annals.2010.172.291.
LibreCat: https://research-explorer.ista.ac.at/record/2704
DOI: 10.4007/annals.2010.172.291

Erdös, László, et al. “Wegner Estimate and Level Repulsion for Wigner Random Matrices.”10.1093/imrn/rnp136__International Mathematics Research Notices, no. 3, Oxford University Press, 2010, pp. 436–79, doi:10.1093/imrn/rnp136.
LibreCat: https://research-explorer.ista.ac.at/record/2701
DOI: 10.1093/imrn/rnp136

Erdös, László, et al. “Bulk Universality for Wigner Matrices.”10.1002/cpa.20317__Communications on Pure and Applied Mathematics, vol. 63, no. 7, Wiley-Blackwell, 2010, pp. 895–925, doi:10.1002/cpa.20317.
LibreCat: https://research-explorer.ista.ac.at/record/2762
DOI: 10.1002/cpa.20317

Erdös, László, et al. “Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation.”10.1214/EJP.v15-768__Electronic Journal of Probability, vol. 15, no. 18, Institute of Mathematical Statistics, 2010, pp. 526–603, doi:10.1214/EJP.v15-768.
LibreCat: https://research-explorer.ista.ac.at/record/2761
DOI: 10.1214/EJP.v15-768

Erdös, László, and Jan Solovej. “Ground State Energy of Large Atoms in a Self-Generated Magnetic Field.”10.1007/s00220-009-0869-2__Communications in Mathematical Physics, vol. 294, no. 1, Springer, 2010, pp. 229–49, doi:10.1007/s00220-009-0869-2.
LibreCat: https://research-explorer.ista.ac.at/record/2756
DOI: 10.1007/s00220-009-0869-2

Erdös, László, et al. “Bulk Universality for Wigner Hermitian Matrices with Subexponential Decay.” Mathematical Research Letters, vol. 17, no. 4, International Press, 2010, pp. 667–74.
LibreCat: https://research-explorer.ista.ac.at/record/2763

Erdös, László, et al. “Semicircle Law on Short Scales and Delocalization of Eigenvectors for Wigner Random Matrices.”10.1214/08-AOP421__Annals of Probability, vol. 37, no. 3, Institute of Mathematical Statistics, 2009, pp. 815–52, doi:10.1214/08-AOP421.
LibreCat: https://research-explorer.ista.ac.at/record/2703
DOI: 10.1214/08-AOP421

Erdös, László, et al. “Dynamical Formation of Correlations in a Bose-Einstein Condensate.”10.1007/s00220-009-0828-y__Communications in Mathematical Physics, vol. 289, no. 3, Springer, 2009, pp. 1171–210, doi:10.1007/s00220-009-0828-y.
LibreCat: https://research-explorer.ista.ac.at/record/2759
DOI: 10.1007/s00220-009-0828-y

Erdös, László, et al. “Local Semicircle Law and Complete Delocalization for Wigner Random Matrices.”10.1007/s00220-008-0636-9__Communications in Mathematical Physics, vol. 287, no. 2, Springer, 2009, pp. 641–55, doi:10.1007/s00220-008-0636-9.
LibreCat: https://research-explorer.ista.ac.at/record/2758
DOI: 10.1007/s00220-008-0636-9