László Erdös

Erdoes Group

150 Publications

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[150]
2024 | Journal Article | IST-REx-ID: 15025 | OA
Erdös L, McKenna B. Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Annals of Applied Probability. 2024;34(1B):1623-1662. doi:10.1214/23-AAP2000
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[149]
2023 | Journal Article | IST-REx-ID: 11741 | OA
Cipolloni G, Erdös L, Schröder DJ. Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. 2023;185:1183–1218. doi:10.1007/s00440-022-01156-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[148]
2023 | Journal Article | IST-REx-ID: 10405 | OA
Cipolloni G, Erdös L, Schröder DJ. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 2023;76(5):946-1034. doi:10.1002/cpa.22028
[Published Version] View | Files available | DOI | WoS | arXiv
 
[147]
2023 | Journal Article | IST-REx-ID: 12707 | OA
Erdös L, Xu Y. Small deviation estimates for the largest eigenvalue of Wigner matrices. Bernoulli. 2023;29(2):1063-1079. doi:10.3150/22-BEJ1490
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[146]
2023 | Journal Article | IST-REx-ID: 12792 | OA
Cipolloni G, Erdös L, Schröder DJ. On the spectral form factor for random matrices. Communications in Mathematical Physics. 2023;401:1665-1700. doi:10.1007/s00220-023-04692-y
[Published Version] View | Files available | DOI | WoS
 
[145]
2023 | Journal Article | IST-REx-ID: 14408 | OA
Cipolloni G, Erdös L, Schröder DJ. Mesoscopic central limit theorem for non-Hermitian random matrices. Probability Theory and Related Fields. 2023. doi:10.1007/s00440-023-01229-1
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[144]
2023 | Journal Article | IST-REx-ID: 12683 | OA
Dubach G, Erdös L. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 2023;28:1-13. doi:10.1214/23-ECP516
[Published Version] View | Files available | DOI | WoS | arXiv
 
[143]
2023 | Journal Article | IST-REx-ID: 12761 | OA
Cipolloni G, Erdös L, Schröder DJ. Functional central limit theorems for Wigner matrices. Annals of Applied Probability. 2023;33(1):447-489. doi:10.1214/22-AAP1820
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[142]
2023 | Journal Article | IST-REx-ID: 14667 | OA
Erdös L, Ji HC. Functional CLT for non-Hermitian random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2023;59(4):2083-2105. doi:10.1214/22-AIHP1304
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[141]
2023 | Journal Article | IST-REx-ID: 13317 | OA
Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 2023;190(7). doi:10.1007/s10955-023-03132-4
[Published Version] View | Files available | DOI | WoS | arXiv
 
[140]
2023 | Journal Article | IST-REx-ID: 14343 | OA
Cipolloni G, Erdös L, Henheik SJ, Kolupaiev O. Gaussian fluctuations in the equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. 2023;11. doi:10.1017/fms.2023.70
[Published Version] View | Files available | DOI | WoS | arXiv
 
[139]
2023 | Journal Article | IST-REx-ID: 14849 | OA
Cipolloni G, Erdös L, Schröder DJ, Xu Y. On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. 2023;51(6):2192-2242. doi:10.1214/23-aop1643
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[138]
2022 | Journal Article | IST-REx-ID: 12179 | OA
Cipolloni G, Erdös L, Schröder DJ. On the condition number of the shifted real Ginibre ensemble. SIAM Journal on Matrix Analysis and Applications. 2022;43(3):1469-1487. doi:10.1137/21m1424408
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[137]
2022 | Journal Article | IST-REx-ID: 10732 | OA
Cipolloni G, Erdös L, Schröder DJ. Thermalisation for Wigner matrices. Journal of Functional Analysis. 2022;282(8). doi:10.1016/j.jfa.2022.109394
[Published Version] View | Files available | DOI | WoS | arXiv
 
[136]
2022 | Journal Article | IST-REx-ID: 11418 | OA
Cipolloni G, Erdös L, Schröder DJ. Normal fluctuation in quantum ergodicity for Wigner matrices. Annals of Probability. 2022;50(3):984-1012. doi:10.1214/21-AOP1552
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[135]
2022 | Journal Article | IST-REx-ID: 12148 | OA
Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86
[Published Version] View | Files available | DOI | WoS
 
[134]
2022 | Journal Article | IST-REx-ID: 12232 | OA
Cipolloni G, Erdös L, Schröder DJ. Density of small singular values of the shifted real Ginibre ensemble. Annales Henri Poincaré. 2022;23(11):3981-4002. doi:10.1007/s00023-022-01188-8
[Published Version] View | Files available | DOI | WoS
 
[133]
2022 | Journal Article | IST-REx-ID: 12243 | OA
Cipolloni G, Erdös L, Schröder DJ, Xu Y. Directional extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics. 2022;63(10). doi:10.1063/5.0104290
[Published Version] View | Files available | DOI | WoS | arXiv
 
[132]
2022 | Journal Article | IST-REx-ID: 12290 | OA
Cipolloni G, Erdös L, Schröder DJ. Optimal multi-resolvent local laws for Wigner matrices. Electronic Journal of Probability. 2022;27:1-38. doi:10.1214/22-ejp838
[Published Version] View | Files available | DOI | WoS
 
[131]
2021 | Journal Article | IST-REx-ID: 9412 | OA
Cipolloni G, Erdös L, Schröder DJ. Fluctuation around the circular law for random matrices with real entries. Electronic Journal of Probability. 2021;26. doi:10.1214/21-EJP591
[Published Version] View | Files available | DOI | WoS | arXiv
 
[130]
2021 | Journal Article | IST-REx-ID: 9550 | OA
Bao Z, Erdös L, Schnelli K. Equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.38
[Published Version] View | Files available | DOI | WoS | arXiv
 
[129]
2021 | Journal Article | IST-REx-ID: 9912 | OA
Erdös L, Krüger TH, Nemish Y. Scattering in quantum dots via noncommutative rational functions. Annales Henri Poincaré . 2021;22:4205–4269. doi:10.1007/s00023-021-01085-6
[Published Version] View | Files available | DOI | WoS | arXiv
 
[128]
2021 | Journal Article | IST-REx-ID: 10221 | OA
Cipolloni G, Erdös L, Schröder DJ. Eigenstate thermalization hypothesis for Wigner matrices. Communications in Mathematical Physics. 2021;388(2):1005–1048. doi:10.1007/s00220-021-04239-z
[Published Version] View | Files available | DOI | WoS | arXiv
 
[127]
2021 | Journal Article | IST-REx-ID: 15013 | OA
Alt J, Erdös L, Krüger TH. Spectral radius of random matrices with independent entries. Probability and Mathematical Physics. 2021;2(2):221-280. doi:10.2140/pmp.2021.2.221
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[126]
2021 | Journal Article | IST-REx-ID: 8601 | OA
Cipolloni G, Erdös L, Schröder DJ. Edge universality for non-Hermitian random matrices. Probability Theory and Related Fields. 2021. doi:10.1007/s00440-020-01003-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[125]
2020 | Journal Article | IST-REx-ID: 7512 | OA
Erdös L, Krüger TH, Nemish Y. Local laws for polynomials of Wigner matrices. Journal of Functional Analysis. 2020;278(12). doi:10.1016/j.jfa.2020.108507
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[124]
2020 | Journal Article | IST-REx-ID: 9104 | OA
Bao Z, Erdös L, Schnelli K. On the support of the free additive convolution. Journal d’Analyse Mathematique. 2020;142:323-348. doi:10.1007/s11854-020-0135-2
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[123]
2020 | Journal Article | IST-REx-ID: 10862 | OA
Bao Z, Erdös L, Schnelli K. Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. 2020;279(7). doi:10.1016/j.jfa.2020.108639
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[122]
2020 | Journal Article | IST-REx-ID: 6488 | OA
Cipolloni G, Erdös L. Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Random Matrices: Theory and Application. 2020;9(3). doi:10.1142/S2010326320500069
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[121]
2020 | Journal Article | IST-REx-ID: 6185 | OA
Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices I: Local law and the complex Hermitian case. Communications in Mathematical Physics. 2020;378:1203-1278. doi:10.1007/s00220-019-03657-4
[Published Version] View | Files available | DOI | WoS | arXiv
 
[120]
2020 | Journal Article | IST-REx-ID: 14694 | OA
Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. 2020;25:1421-1539. doi:10.4171/dm/780
[Published Version] View | Files available | DOI | arXiv
 
[119]
2020 | Journal Article | IST-REx-ID: 6184 | OA
Alt J, Erdös L, Krüger TH, Schröder DJ. Correlated random matrices: Band rigidity and edge universality. Annals of Probability. 2020;48(2):963-1001. doi:10.1214/19-AOP1379
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[118]
2020 | Journal Article | IST-REx-ID: 15063 | OA
Cipolloni G, Erdös L, Schröder DJ. Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Probability and Mathematical Physics. 2020;1(1):101-146. doi:10.2140/pmp.2020.1.101
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[117]
2020 | Journal Article | IST-REx-ID: 15079
Erdös L, Götze F, Guionnet A. Random matrices. Oberwolfach Reports. 2020;16(4):3459-3527. doi:10.4171/owr/2019/56
View | DOI
 
[116]
2019 | Journal Article | IST-REx-ID: 429 | OA
Ajanki OH, Erdös L, Krüger TH. Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. 2019;173(1-2):293–373. doi:10.1007/s00440-018-0835-z
[Published Version] View | Files available | DOI | WoS
 
[115]
2019 | Journal Article | IST-REx-ID: 6511 | OA
Bao Z, Erdös L, Schnelli K. Local single ring theorem on optimal scale. Annals of Probability. 2019;47(3):1270-1334. doi:10.1214/18-AOP1284
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[114]
2019 | Journal Article | IST-REx-ID: 6182 | OA
Erdös L, Krüger TH, Schröder DJ. Random matrices with slow correlation decay. Forum of Mathematics, Sigma. 2019;7. doi:10.1017/fms.2019.2
[Published Version] View | Files available | DOI | WoS | arXiv
 
[113]
2019 | Journal Article | IST-REx-ID: 6186 | OA
Cipolloni G, Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices, II: The real symmetric case. Pure and Applied Analysis . 2019;1(4):615–707. doi:10.2140/paa.2019.1.615
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[112]
2019 | Journal Article | IST-REx-ID: 6240 | OA
Alt J, Erdös L, Krüger TH, Nemish Y. Location of the spectrum of Kronecker random matrices. Annales de l’institut Henri Poincare. 2019;55(2):661-696. doi:10.1214/18-AIHP894
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[111]
2018 | Journal Article | IST-REx-ID: 566 | OA
Alt J, Erdös L, Krüger TH. Local inhomogeneous circular law. Annals Applied Probability . 2018;28(1):148-203. doi:10.1214/17-AAP1302
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[110]
2018 | Journal Article | IST-REx-ID: 181 | OA
Erdös L, Krüger TH, Renfrew DT. Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. 2018;50(3):3271-3290. doi:10.1137/17M1143125
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 
[109]
2018 | Journal Article | IST-REx-ID: 5971 | OA
Erdös L, Mühlbacher P. Bounds on the norm of Wigner-type random matrices. Random matrices: Theory and applications. 2018. doi:10.1142/s2010326319500096
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[108]
2018 | Journal Article | IST-REx-ID: 1012 | OA
Erdös L, Schröder DJ. Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues. International Mathematics Research Notices. 2018;2018(10):3255-3298. doi:10.1093/imrn/rnw330
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[107]
2018 | Preprint | IST-REx-ID: 6183 | OA
Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and  cusps. arXiv.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[106]
2017 | Journal Article | IST-REx-ID: 483 | OA
Bourgade P, Erdös L, Yau H, Yin J. Universality for a class of random band matrices. Advances in Theoretical and Mathematical Physics. 2017;21(3):739-800. doi:10.4310/ATMP.2017.v21.n3.a5
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[105]
2017 | Book | IST-REx-ID: 567
Erdös L, Yau H. A Dynamical Approach to Random Matrix Theory. Vol 28. American Mathematical Society; 2017. doi:10.1090/cln/028
View | DOI
 
[104]
2017 | Journal Article | IST-REx-ID: 615 | OA
Erdös L, Schnelli K. Universality for random matrix flows with time dependent density. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2017;53(4):1606-1656. doi:10.1214/16-AIHP765
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[103]
2017 | Journal Article | IST-REx-ID: 721 | OA
Ajanki OH, Krüger TH, Erdös L. Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. 2017;70(9):1672-1705. doi:10.1002/cpa.21639
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[102]
2017 | Journal Article | IST-REx-ID: 1144 | OA
Erdös L, Schröder DJ. Fluctuations of functions of Wigner matrices. Electronic Communications in Probability. 2017;21. doi:10.1214/16-ECP38
[Published Version] View | Files available | DOI
 
[101]
2017 | Journal Article | IST-REx-ID: 1528 | OA
Bao Z, Erdös L. Delocalization for a class of random block band matrices. Probability Theory and Related Fields. 2017;167(3-4):673-776. doi:10.1007/s00440-015-0692-y
[Published Version] View | Files available | DOI | WoS
 
[100]
2017 | Journal Article | IST-REx-ID: 1337 | OA
Ajanki OH, Erdös L, Krüger TH. Universality for general Wigner-type matrices. Probability Theory and Related Fields. 2017;169(3-4):667-727. doi:10.1007/s00440-016-0740-2
[Published Version] View | Files available | DOI | WoS
 
[99]
2017 | Journal Article | IST-REx-ID: 1207 | OA
Bao Z, Erdös L, Schnelli K. Local law of addition of random matrices on optimal scale. Communications in Mathematical Physics. 2017;349(3):947-990. doi:10.1007/s00220-016-2805-6
[Published Version] View | Files available | DOI | WoS
 
[98]
2017 | Journal Article | IST-REx-ID: 1010 | OA
Alt J, Erdös L, Krüger TH. Local law for random Gram matrices. Electronic Journal of Probability. 2017;22. doi:10.1214/17-EJP42
[Published Version] View | Files available | DOI | WoS | arXiv
 
[97]
2017 | Journal Article | IST-REx-ID: 733 | OA
Bao Z, Erdös L, Schnelli K. Convergence rate for spectral distribution of addition of random matrices. Advances in Mathematics. 2017;319:251-291. doi:10.1016/j.aim.2017.08.028
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[96]
2016 | Journal Article | IST-REx-ID: 1280 | OA
Bourgade P, Erdös L, Yau H, Yin J. Fixed energy universality for generalized wigner matrices. Communications on Pure and Applied Mathematics. 2016;69(10):1815-1881. doi:10.1002/cpa.21624
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[95]
2016 | Journal Article | IST-REx-ID: 1434 | OA
Bao Z, Erdös L, Schnelli K. Local stability of the free additive convolution. Journal of Functional Analysis. 2016;271(3):672-719. doi:10.1016/j.jfa.2016.04.006
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[94]
2016 | Journal Article | IST-REx-ID: 1489 | OA
Ajanki OH, Erdös L, Krüger TH. Local spectral statistics of Gaussian matrices with correlated entries. Journal of Statistical Physics. 2016;163(2):280-302. doi:10.1007/s10955-016-1479-y
[Published Version] View | Files available | DOI
 
[93]
2015 | Journal Article | IST-REx-ID: 1508 | OA
Erdös L, Yau H. Gap universality of generalized Wigner and β ensembles. Journal of the European Mathematical Society. 2015;17(8):1927-2036. doi:10.4171/JEMS/548
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[92]
2015 | Journal Article | IST-REx-ID: 1864 | OA
Erdös L, Knowles A. The Altshuler–Shklovskii formulas for random band matrices II: The general case. Annales Henri Poincare. 2015;16(3):709-799. doi:10.1007/s00023-014-0333-5
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[91]
2015 | Journal Article | IST-REx-ID: 2166 | OA
Erdös L, Knowles A. The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case. Communications in Mathematical Physics. 2015;333(3):1365-1416. doi:10.1007/s00220-014-2119-5
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[90]
2014 | Journal Article | IST-REx-ID: 1937 | OA
Bourgade P, Erdös L, Yau H. Edge universality of beta ensembles. Communications in Mathematical Physics. 2014;332(1):261-353. doi:10.1007/s00220-014-2120-z
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[89]
2014 | Journal Article | IST-REx-ID: 2019 | OA
Erdös L, Schröder DJ. Phase transition in the density of states of quantum spin glasses. Mathematical Physics, Analysis and Geometry. 2014;17(3-4):441-464. doi:10.1007/s11040-014-9164-3
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[88]
2014 | Journal Article | IST-REx-ID: 2179 | OA
Ajanki OH, Erdös L, Krüger TH. Local semicircle law with imprimitive variance matrix. Electronic Communications in Probability. 2014;19. doi:10.1214/ECP.v19-3121
[Published Version] View | Files available | DOI
 
[87]
2014 | Journal Article | IST-REx-ID: 2225 | OA
Bloemendal A, Erdös L, Knowles A, Yau H, Yin J. Isotropic local laws for sample covariance and generalized Wigner matrices. Electronic Journal of Probability. 2014;19. doi:10.1214/EJP.v19-3054
[Published Version] View | Files available | DOI
 
[86]
2014 | Journal Article | IST-REx-ID: 2699 | OA
Erdös L, Bourgade P, Yau H. Universality of general β-ensembles. Duke Mathematical Journal. 2014;163(6):1127-1190. doi:10.1215/00127094-2649752
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[85]
2014 | Conference Paper | IST-REx-ID: 1507 | OA
Erdös L. Random matrices, log-gases and Hölder regularity. In: Proceedings of the International Congress of Mathematicians. Vol 3. International Congress of Mathematicians; 2014:214-236.
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[84]
2013 | Journal Article | IST-REx-ID: 2698 | OA
Erdös L, Fournais S, Solovej J. Stability and semiclassics in self-generated fields. Journal of the European Mathematical Society. 2013;15(6):2093-2113. doi:10.4171/JEMS/416
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[83]
2013 | Journal Article | IST-REx-ID: 2697 | OA
Erdös L, Knowles A, Yau H, Yin J. Delocalization and diffusion profile for random band matrices. Communications in Mathematical Physics. 2013;323(1):367-416. doi:10.1007/s00220-013-1773-3
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[82]
2013 | Journal Article | IST-REx-ID: 2782 | OA
Erdös L, Farrell B. Local eigenvalue density for general MANOVA matrices. Journal of Statistical Physics. 2013;152(6):1003-1032. doi:10.1007/s10955-013-0807-8
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[81]
2013 | Journal Article | IST-REx-ID: 2781 | OA
Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs I: Local semicircle law. Annals of Probability. 2013;41(3 B):2279-2375. doi:10.1214/11-AOP734
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[80]
2013 | Journal Article | IST-REx-ID: 2780 | OA
Erdös L, Knowles A, Yau H. Averaging fluctuations in resolvents of random band matrices. Annales Henri Poincare. 2013;14(8):1837-1926. doi:10.1007/s00023-013-0235-y
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[79]
2013 | Journal Article | IST-REx-ID: 2837 | OA
Erdös L, Knowles A, Yau H, Yin J. The local semicircle law for a general class of random matrices. Electronic Journal of Probability. 2013;18(59):1-58. doi:10.1214/EJP.v18-2473
[Published Version] View | Files available | DOI
 
[78]
2012 | Preprint | IST-REx-ID: 2696 | OA
Erdös L. Universality for random matrices and log-gases. ArXiv. 2012.
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[77]
2012 | Conference Paper | IST-REx-ID: 2700 | OA
Erdös L. Lecture notes on quantum Brownian motion. In: Vol 95. Oxford University Press; 2012:3-98.
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[76]
2012 | Journal Article | IST-REx-ID: 2770
Erdös L, Yau H, Yin J. Rigidity of eigenvalues of generalized Wigner matrices. Advances in Mathematics. 2012;229(3):1435-1515. doi:10.1016/j.aim.2011.12.010
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[75]
2012 | Journal Article | IST-REx-ID: 2769
Erdös L, Schlein B, Yau H, Yin J. The local relaxation flow approach to universality of the local statistics for random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2012;48(1):1-46. doi:10.1214/10-AIHP388
View | DOI
 
[74]
2012 | Journal Article | IST-REx-ID: 2767
Erdös L, Yau H, Yin J. Bulk universality for generalized Wigner matrices. Probability Theory and Related Fields. 2012;154(1-2):341-407. doi:10.1007/s00440-011-0390-3
View | DOI
 
[73]
2012 | Journal Article | IST-REx-ID: 2768
Erdös L, Hasler D. Wegner estimate and Anderson localization for random magnetic fields. Communications in Mathematical Physics. 2012;309(2):507-542. doi:10.1007/s00220-011-1373-z
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[72]
2012 | Journal Article | IST-REx-ID: 2775
Erdös L, Yau H. Universality of local spectral statistics of random matrices. Bulletin of the American Mathematical Society. 2012;49(3):377-414. doi:10.1090/S0273-0979-2012-01372-1
View | DOI
 
[71]
2012 | Journal Article | IST-REx-ID: 2777
Erdös L, Fournais S, Solovej J. Relativistic Scott correction in self-generated magnetic fields. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697417
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[70]
2012 | Journal Article | IST-REx-ID: 2772
Erdös L, Fournais S, Solovej J. Second order semiclassics with self generated magnetic fields. Annales Henri Poincare. 2012;13(4):671-730. doi:10.1007/s00023-011-0150-z
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[69]
2012 | Journal Article | IST-REx-ID: 2776
Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues. Communications in Mathematical Physics. 2012;314(3):587-640. doi:10.1007/s00220-012-1527-7
View | DOI
 
[68]
2012 | Journal Article | IST-REx-ID: 2774
Erdös L, Fournais S, Solovej J. Scott correction for large atoms and molecules in a self-generated magnetic field. Communications in Mathematical Physics. 2012;312(3):847-882. doi:10.1007/s00220-012-1468-1
View | DOI
 
[67]
2012 | Journal Article | IST-REx-ID: 2773
Erdös L, Yau H. A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Electronic Journal of Probability. 2012;17. doi:10.1214/EJP.v17-1779
View | DOI
 
[66]
2012 | Journal Article | IST-REx-ID: 2771
Erdös L, Hasler D. Anderson localization at band edges for random magnetic fields. Journal of Statistical Physics. 2012;146(5):900-923. doi:10.1007/s10955-012-0445-6
View | DOI
 
[65]
2012 | Journal Article | IST-REx-ID: 2778
Bourgade P, Erdös L, Yau H. Bulk universality of general β-ensembles with non-convex potential. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.4751478
View | DOI
 
[64]
2012 | Journal Article | IST-REx-ID: 2779
Erdös L, Hasler D. Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. 2012;13(8):1719-1731. doi:10.1007/s00023-012-0177-9
View | DOI
 
[63]
2011 | Journal Article | IST-REx-ID: 2717
Erdös L, Knowles A. Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. 2011;303(2):509-554. doi:10.1007/s00220-011-1204-2
View | DOI
 
[62]
2011 | Book Review | IST-REx-ID: 2765
Erdös L. Universality of Wigner random matrices: A survey of recent results. Russian Mathematical Surveys. 2011;66(3):507-626. doi:10.1070/RM2011v066n03ABEH004749
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[61]
2011 | Journal Article | IST-REx-ID: 2766
Erdös L, Knowles A. Quantum diffusion and delocalization for band matrices with general distribution. Annales Henri Poincare. 2011;12(7):1227-1319. doi:10.1007/s00023-011-0104-5
View | DOI
 
[60]
2011 | Journal Article | IST-REx-ID: 2764
Erdös L, Schlein B, Yau H. Universality of random matrices and local relaxation flow. Inventiones Mathematicae. 2011;185(1):75-119. doi:10.1007/s00222-010-0302-7
View | DOI
 
[59]
2010 | Journal Article | IST-REx-ID: 2704
Erdös L, Schlein B, Yau H. Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Annals of Mathematics. 2010;172(1):291-370. doi:10.4007/annals.2010.172.291
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[58]
2010 | Journal Article | IST-REx-ID: 2701 | OA
Erdös L, Schlein B, Yau H. Wegner estimate and level repulsion for Wigner random matrices. International Mathematics Research Notices. 2010;(3):436-479. doi:10.1093/imrn/rnp136
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[57]
2010 | Journal Article | IST-REx-ID: 2762
Erdös L, Ramírez J, Yau H, Péché S, Schlein B. Bulk universality for Wigner matrices. Communications on Pure and Applied Mathematics. 2010;63(7):895-925. doi:10.1002/cpa.20317
View | DOI
 
[56]
2010 | Journal Article | IST-REx-ID: 2761
Erdös L, Ramírez J, Schlein B, Yau H. Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Electronic Journal of Probability. 2010;15(18):526-603. doi:10.1214/EJP.v15-768
View | DOI
 
[55]
2010 | Journal Article | IST-REx-ID: 2756
Erdös L, Solovej J. Ground state energy of large atoms in a self-generated magnetic field. Communications in Mathematical Physics. 2010;294(1):229-249. doi:10.1007/s00220-009-0869-2
View | DOI
 
[54]
2010 | Journal Article | IST-REx-ID: 2763
Erdös L, Ramírez J, Schlein B, Tao T, Van V, Yau H. Bulk universality for Wigner Hermitian matrices with subexponential decay. Mathematical Research Letters. 2010;17(4):667-674.
View
 
[53]
2009 | Journal Article | IST-REx-ID: 2703
Erdös L, Schlein B, Yau H. Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Annals of Probability. 2009;37(3):815-852. doi:10.1214/08-AOP421
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[52]
2009 | Journal Article | IST-REx-ID: 2759
Erdös L, Michelangeli A, Schlein B. Dynamical formation of correlations in a Bose-Einstein condensate. Communications in Mathematical Physics. 2009;289(3):1171-1210. doi:10.1007/s00220-009-0828-y
View | DOI
 
[51]
2009 | Journal Article | IST-REx-ID: 2758
Erdös L, Schlein B, Yau H. Local semicircle law and complete delocalization for Wigner random matrices. Communications in Mathematical Physics. 2009;287(2):641-655. doi:10.1007/s00220-008-0636-9
View | DOI
 
[50]
2009 | Journal Article | IST-REx-ID: 2757
Erdös L, Schlein B. Quantum dynamics with mean field interactions: A new approach. Journal of Statistical Physics. 2009;134(5-6):859-870. doi:10.1007/s10955-008-9570-7
View | DOI
 
[49]
2009 | Journal Article | IST-REx-ID: 2760
Erdös L, Schlein B, Yau H. Rigorous derivation of the gross-pitaevskii equation with a large interaction potential. Journal of the American Mathematical Society. 2009;22(4):1099-1156. doi:10.1090/S0894-0347-09-00635-3
View | DOI
 
[48]
2008 | Conference Paper | IST-REx-ID: 2702 | OA
Erdös L, Salmhofer M, Yau H. Feynman graphs and renormalization in quantum diffusion. In: World Scientific Publishing; 2008:167-182. doi:10.1142/9789812833556_0011
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[47]
2008 | Journal Article | IST-REx-ID: 2753
Erdös L, Salmhofer M, Yau H. Quantum diffusion of the random Schrödinger evolution in the scaling limit. Acta Mathematica. 2008;200(2):211-277. doi:10.1007/s11511-008-0027-2
View | DOI
 
[46]
2008 | Journal Article | IST-REx-ID: 2754
Adami R, Erdös L. Rate of decoherence for an electron weakly coupled to a phonon gas. Journal of Statistical Physics. 2008;132(2):301-328. doi:10.1007/s10955-008-9561-8
View | DOI
 
[45]
2008 | Journal Article | IST-REx-ID: 2755
Erdös L, Schlein B, Yau H. Ground-state energy of a low-density Bose gas: A second-order upper bound. Physical Review A - Atomic, Molecular, and Optical Physics. 2008;78(5). doi:10.1103/PhysRevA.78.053627
View | DOI
 
[44]
2007 | Book Chapter | IST-REx-ID: 2705 | OA
Erdös L. Recent developments in quantum mechanics with magnetic fields. In: Gesztesy F, Deift P, Galvez P, Perry P, Schlag W, eds. Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday . Vol 76. American Mathematical Society; 2007:401-428.
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[43]
2007 | Journal Article | IST-REx-ID: 2750
Erdös L, Salmhofer M, Yau H. Quantum diffusion of the random Schrödinger evolution in the scaling limit II. The recollision diagrams. Communications in Mathematical Physics. 2007;271(1):1-53. doi:10.1007/s00220-006-0158-2
View | DOI
 
[42]
2007 | Journal Article | IST-REx-ID: 2751
Erdös L, Salmhofer M, Yau H. Quantum diffusion for the Anderson model in the scaling limit. Annales Henri Poincare. 2007;8(4):621-685. doi:10.1007/s00023-006-0318-0
View | DOI
 
[41]
2007 | Journal Article | IST-REx-ID: 2752
Erdös L, Salmhofer M. Decay of the Fourier transform of surfaces with vanishing curvature. Mathematische Zeitschrift. 2007;257(2):261-294. doi:10.1007/s00209-007-0125-4
View | DOI
 
[40]
2007 | Book Review | IST-REx-ID: 2749
Erdös L, Schlein B, Yau H. Derivation of the cubic non linear Schrödinger equation from quantum dynamics of many body systems. Inventiones Mathematicae. 2007;167(3):515-614. doi:10.1007/s00222-006-0022-1
View | DOI
 
[39]
2007 | Journal Article | IST-REx-ID: 2748
Erdös L, Schlein B, Yau H. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 2007;98(4). doi:10.1103/PhysRevLett.98.040404
View | DOI
 
[38]
2006 | Journal Article | IST-REx-ID: 2747
Erdös L, Schlein B, Yau H. Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Communications on Pure and Applied Mathematics. 2006;59(12):1659-1741. doi:10.1002/cpa.20123
View | DOI
 
[37]
2006 | Journal Article | IST-REx-ID: 2745
Elgart A, Erdös L, Schlein B, Yau H. Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. Archive for Rational Mechanics and Analysis. 2006;179(2):265-283. doi:10.1007/s00205-005-0388-z
View | DOI
 
[36]
2006 | Conference Paper | IST-REx-ID: 2746
Erdös L, Salmhofer M, Yau H. Towards the quantum Brownian motion. In: Vol 690. World Scientific Publishing; 2006:233-257. doi:10.1007/3-540-34273-7_18
View | DOI
 
[35]
2005 | Journal Article | IST-REx-ID: 2744
Eng D, Erdös L. The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Reviews in Mathematical Physics. 2005;17(6):669-743. doi:10.1142/S0129055X0500242X
View | DOI
 
[34]
2005 | Journal Article | IST-REx-ID: 2743
Erdös L, Hasler D, Solovej J. Existence of the D0-D4 bound state: A detailed proof. Annales Henri Poincare. 2005;6(2):247-267. doi:10.1007/s00023-005-0205-0
View | DOI
 
[33]
2004 | Journal Article | IST-REx-ID: 2706
Erdös L, Solovej J. Magnetic Lieb-Thirring inequalities with optimal dependence on the field strength. Journal of Statistical Physics. 2004;116(1-4):475-506. doi:10.1023/B:JOSS.0000037216.45270.1d
View | DOI
 
[32]
2004 | Journal Article | IST-REx-ID: 2707
Erdös L, Salmhofer M, Yau H. On the quantum Boltzmann equation. Journal of Statistical Physics. 2004;116(1-4):367-380. doi:10.1023/B:JOSS.0000037224.56191.ed
View | DOI
 
[31]
2004 | Journal Article | IST-REx-ID: 2741
Erdös L, Solovej J. Uniform Lieb-Thirring inequality for the three-dimensional Pauli operator with a strong non-homogeneous magnetic field. Annales Henri Poincare. 2004;5(4):671-741. doi:10.1007/s00023-004-0180-x
View | DOI
 
[30]
2004 | Journal Article | IST-REx-ID: 2742
Elgart A, Erdös L, Schlein B, Yau H. Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Journal de Mathématiques Pures et Appliquées. 2004;83(10):1241-1273. doi:10.1016/j.matpur.2004.03.006
View | DOI
 
[29]
2002 | Conference Paper | IST-REx-ID: 2708
Erdös L. Two dimensional Pauli operator via scalar potential. In: Vol 307. World Scientific Publishing; 2002:129-133. doi:10.1090/conm/307
View | DOI
 
[28]
2002 | Journal Article | IST-REx-ID: 2739
Erdös L, Vougalter V. Pauli operator and Aharonov–Casher theorem¶ for measure valued magnetic fields. Communications in Mathematical Physics. 2002;225(2):399-421. doi:10.1007/s002200100585
View | DOI | arXiv
 
[27]
2002 | Journal Article | IST-REx-ID: 2738
Erdös L. Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics. 2002;107(5-6):1043-1127. doi:10.1023/A:1015157624384
[Submitted Version] View | DOI | arXiv
 
[26]
2002 | Journal Article | IST-REx-ID: 2740
Erdös L. Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions. Annales de l’Institut Fourier. 2002;52(6):1833-1874. doi:10.5802/aif.1936
View | DOI
 
[25]
2002 | Journal Article | IST-REx-ID: 2737
Bardos C, Erdös L, Golse F, Mauser N, Yau H. Derivation of the Schrödinger-Poisson equation from the quantum N-body problem. Comptes Rendus Mathematique. 2002;334(6):515-520. doi:10.1016/S1631-073X(02)02253-7
View | DOI
 
[24]
2002 | Book Chapter | IST-REx-ID: 2694
Erdös L. Scaling limits of Schrödinger quantum mechanics. In: Dynamics of Dissipation. Lecture Notes in Physics. Springer; 2002:487-506. doi:10.1007/3-540-46122-1_19
View | DOI
 
[23]
2001 | Journal Article | IST-REx-ID: 2736 | OA
Erdös L, Yau H. Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Advances in Theoretical and Mathematical Physics. 2001;5(6):1169-1205. doi:10.48550/arXiv.math-ph/0111042
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[22]
2001 | Journal Article | IST-REx-ID: 2735 | OA
Erdös L. Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case. Probability Theory and Related Fields. 2001;121(2):219-236. doi:10.1007/PL00008803
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[21]
2001 | Journal Article | IST-REx-ID: 2734 | OA
Erdös L, Solovej J. The kernel of Dirac operators on S3 and R3. Reviews in Mathematical Physics. 2001;13(10):1247-1280. doi:10.1142/S0129055X01000983
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[20]
2001 | Book Chapter | IST-REx-ID: 2709
Erdös L. Long time dynamics of an electron in a weakly coupled phonon field. In: 13th International Congress of Mathematical Physics. International Press of Boston; 2001:273-281.
View
 
[19]
2000 | Journal Article | IST-REx-ID: 2732
Castella F, Erdös L, Frommlet F, Markowich P. Fokker-Planck equations as scaling limits of reversible quantum systems. Journal of Statistical Physics. 2000;100(3-4):543-601. doi:10.1023/A:1018667323830
View | DOI
 
[18]
2000 | Journal Article | IST-REx-ID: 2731
Erdös L, Yau H. Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Communications on Pure and Applied Mathematics. 2000;53(6):667-735. doi:10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5
[Preprint] View | DOI | arXiv
 
[17]
2000 | Book Chapter | IST-REx-ID: 2710
Erdös L. The kernel of Dirac operators on S3 and R3. In: Differential Equations and Mathematical Physics. Vol 16. American Mathematical Society; 2000:111-119. doi:10.1090/amsip/016
[Preprint] View | DOI | arXiv
 
[16]
2000 | Journal Article | IST-REx-ID: 2733
Erdös L, Loss M, Vougalter V. Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. 2000;50(3):891-907. doi:10.5802/aif.1777
View | DOI
 
[15]
1999 | Conference Paper | IST-REx-ID: 2711
Erdös L. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. In: Proceedings of the 7th QMath Conference. Vol 108. World Scientific Publishing; 1999:233-242. doi:10.1007/978-3-0348-8745-8_20
View | DOI
 
[14]
1999 | Journal Article | IST-REx-ID: 2730
Erdös L, Solovej J. Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields, I: Nonasymptotic Lieb-Thirring-type estimate. Duke Mathematical Journal. 1999;96(1):127-173. doi:10.1215/S0012-7094-99-09604-7
View | DOI
 
[13]
1998 | Book Chapter | IST-REx-ID: 2695
Erdös L, Yau H. Linear Boltzmann equation as scaling limit of quantum Lorentz gas. In: Advances in Differential Equations and Mathematical Physics. Vol 217. American Mathematical Society; 1998:137-155. doi:10.1090/conm/217
View | DOI
 
[12]
1998 | Journal Article | IST-REx-ID: 2728
Erdös L. Lifschitz tail in a magnetic field: The nonclassical regime. Probability Theory and Related Fields. 1998;112(3):321-371. doi:10.1007/s004400050193
View | DOI
 
[11]
1997 | Journal Article | IST-REx-ID: 2729
Erdös L, Solovej J. Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields, II. Leading order asymptotic estimates. Communications in Mathematical Physics. 1997;188(3):599-656. doi:10.1007/s002200050181
View | DOI
 
[10]
1997 | Journal Article | IST-REx-ID: 2727
Erdös L. Dia- and paramagnetism for nonhomogeneous magnetic fields. Journal of Mathematical Physics. 1997;38(3):1289-1317. doi:10.1063/1.531909
View | DOI
 
[9]
1996 | Journal Article | IST-REx-ID: 2726
Erdös L. Gaussian decay of the magnetic eigenfunctions. Geometric and Functional Analysis. 1996;6(2):231-248. doi:10.1007/BF02247886
View | DOI
 
[8]
1996 | Journal Article | IST-REx-ID: 2725
Erdös L. Rayleigh-type isoperimetric inequality with a homogeneous magnetic field. Calculus of Variations and Partial Differential Equations. 1996;4(3):283-292. doi:10.1007/BF01254348
View | DOI
 
[7]
1995 | Conference Paper | IST-REx-ID: 2712
Erdös L. Magnetic Lieb-Thirring inequalities and stochastic oscillatory integrals. In: Vol 78. Birkhäuser; 1995:127-132. doi:10.1007/978-3-0348-9092-2_13
View | DOI | Download None (ext.)
 
[6]
1995 | Journal Article | IST-REx-ID: 2724
Erdös L. Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. 1995;170(3):629-668. doi:10.1007/BF02099152
View | DOI | Download None (ext.)
 
[5]
1994 | Journal Article | IST-REx-ID: 2713
Erdös L. Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator. Duke Mathematical Journal. 1994;76(2):541-566. doi:10.1215/S0012-7094-94-07619-9
View | DOI | Download None (ext.)
 
[4]
1993 | Journal Article | IST-REx-ID: 2723
Erdös L. Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics. 1993;29(3):219-240. doi:10.1007/BF00761110
View | DOI | Download None (ext.)
 
[3]
1992 | Journal Article | IST-REx-ID: 2714
Erdös L. On some problems of P. Turán concerning power sums of complex numbers. Acta Mathematica Hungarica. 1992;59(1-2):11-24. doi:10.1007/BF00052086
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[2]
1992 | Journal Article | IST-REx-ID: 2722 | OA
Erdös L, Tuyen D. Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. Communications in Mathematical Physics. 1992;143(3):451-466. doi:10.1007/BF02099260
[Published Version] View | DOI | Download Published Version (ext.)
 
[1]
1990 | Journal Article | IST-REx-ID: 2721
Erdös L, Tuyen D. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. Journal of Statistical Physics. 1990;59(5-6):1589-1602. doi:10.1007/BF01334766
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[150]
2024 | Journal Article | IST-REx-ID: 15025 | OA
Erdös L, McKenna B. Extremal statistics of quadratic forms of GOE/GUE eigenvectors. Annals of Applied Probability. 2024;34(1B):1623-1662. doi:10.1214/23-AAP2000
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[149]
2023 | Journal Article | IST-REx-ID: 11741 | OA
Cipolloni G, Erdös L, Schröder DJ. Quenched universality for deformed Wigner matrices. Probability Theory and Related Fields. 2023;185:1183–1218. doi:10.1007/s00440-022-01156-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[148]
2023 | Journal Article | IST-REx-ID: 10405 | OA
Cipolloni G, Erdös L, Schröder DJ. Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices. Communications on Pure and Applied Mathematics. 2023;76(5):946-1034. doi:10.1002/cpa.22028
[Published Version] View | Files available | DOI | WoS | arXiv
 
[147]
2023 | Journal Article | IST-REx-ID: 12707 | OA
Erdös L, Xu Y. Small deviation estimates for the largest eigenvalue of Wigner matrices. Bernoulli. 2023;29(2):1063-1079. doi:10.3150/22-BEJ1490
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[146]
2023 | Journal Article | IST-REx-ID: 12792 | OA
Cipolloni G, Erdös L, Schröder DJ. On the spectral form factor for random matrices. Communications in Mathematical Physics. 2023;401:1665-1700. doi:10.1007/s00220-023-04692-y
[Published Version] View | Files available | DOI | WoS
 
[145]
2023 | Journal Article | IST-REx-ID: 14408 | OA
Cipolloni G, Erdös L, Schröder DJ. Mesoscopic central limit theorem for non-Hermitian random matrices. Probability Theory and Related Fields. 2023. doi:10.1007/s00440-023-01229-1
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[144]
2023 | Journal Article | IST-REx-ID: 12683 | OA
Dubach G, Erdös L. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 2023;28:1-13. doi:10.1214/23-ECP516
[Published Version] View | Files available | DOI | WoS | arXiv
 
[143]
2023 | Journal Article | IST-REx-ID: 12761 | OA
Cipolloni G, Erdös L, Schröder DJ. Functional central limit theorems for Wigner matrices. Annals of Applied Probability. 2023;33(1):447-489. doi:10.1214/22-AAP1820
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[142]
2023 | Journal Article | IST-REx-ID: 14667 | OA
Erdös L, Ji HC. Functional CLT for non-Hermitian random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2023;59(4):2083-2105. doi:10.1214/22-AIHP1304
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[141]
2023 | Journal Article | IST-REx-ID: 13317 | OA
Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 2023;190(7). doi:10.1007/s10955-023-03132-4
[Published Version] View | Files available | DOI | WoS | arXiv
 
[140]
2023 | Journal Article | IST-REx-ID: 14343 | OA
Cipolloni G, Erdös L, Henheik SJ, Kolupaiev O. Gaussian fluctuations in the equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. 2023;11. doi:10.1017/fms.2023.70
[Published Version] View | Files available | DOI | WoS | arXiv
 
[139]
2023 | Journal Article | IST-REx-ID: 14849 | OA
Cipolloni G, Erdös L, Schröder DJ, Xu Y. On the rightmost eigenvalue of non-Hermitian random matrices. The Annals of Probability. 2023;51(6):2192-2242. doi:10.1214/23-aop1643
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[138]
2022 | Journal Article | IST-REx-ID: 12179 | OA
Cipolloni G, Erdös L, Schröder DJ. On the condition number of the shifted real Ginibre ensemble. SIAM Journal on Matrix Analysis and Applications. 2022;43(3):1469-1487. doi:10.1137/21m1424408
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[137]
2022 | Journal Article | IST-REx-ID: 10732 | OA
Cipolloni G, Erdös L, Schröder DJ. Thermalisation for Wigner matrices. Journal of Functional Analysis. 2022;282(8). doi:10.1016/j.jfa.2022.109394
[Published Version] View | Files available | DOI | WoS | arXiv
 
[136]
2022 | Journal Article | IST-REx-ID: 11418 | OA
Cipolloni G, Erdös L, Schröder DJ. Normal fluctuation in quantum ergodicity for Wigner matrices. Annals of Probability. 2022;50(3):984-1012. doi:10.1214/21-AOP1552
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[135]
2022 | Journal Article | IST-REx-ID: 12148 | OA
Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86
[Published Version] View | Files available | DOI | WoS
 
[134]
2022 | Journal Article | IST-REx-ID: 12232 | OA
Cipolloni G, Erdös L, Schröder DJ. Density of small singular values of the shifted real Ginibre ensemble. Annales Henri Poincaré. 2022;23(11):3981-4002. doi:10.1007/s00023-022-01188-8
[Published Version] View | Files available | DOI | WoS
 
[133]
2022 | Journal Article | IST-REx-ID: 12243 | OA
Cipolloni G, Erdös L, Schröder DJ, Xu Y. Directional extremal statistics for Ginibre eigenvalues. Journal of Mathematical Physics. 2022;63(10). doi:10.1063/5.0104290
[Published Version] View | Files available | DOI | WoS | arXiv
 
[132]
2022 | Journal Article | IST-REx-ID: 12290 | OA
Cipolloni G, Erdös L, Schröder DJ. Optimal multi-resolvent local laws for Wigner matrices. Electronic Journal of Probability. 2022;27:1-38. doi:10.1214/22-ejp838
[Published Version] View | Files available | DOI | WoS
 
[131]
2021 | Journal Article | IST-REx-ID: 9412 | OA
Cipolloni G, Erdös L, Schröder DJ. Fluctuation around the circular law for random matrices with real entries. Electronic Journal of Probability. 2021;26. doi:10.1214/21-EJP591
[Published Version] View | Files available | DOI | WoS | arXiv
 
[130]
2021 | Journal Article | IST-REx-ID: 9550 | OA
Bao Z, Erdös L, Schnelli K. Equipartition principle for Wigner matrices. Forum of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.38
[Published Version] View | Files available | DOI | WoS | arXiv
 
[129]
2021 | Journal Article | IST-REx-ID: 9912 | OA
Erdös L, Krüger TH, Nemish Y. Scattering in quantum dots via noncommutative rational functions. Annales Henri Poincaré . 2021;22:4205–4269. doi:10.1007/s00023-021-01085-6
[Published Version] View | Files available | DOI | WoS | arXiv
 
[128]
2021 | Journal Article | IST-REx-ID: 10221 | OA
Cipolloni G, Erdös L, Schröder DJ. Eigenstate thermalization hypothesis for Wigner matrices. Communications in Mathematical Physics. 2021;388(2):1005–1048. doi:10.1007/s00220-021-04239-z
[Published Version] View | Files available | DOI | WoS | arXiv
 
[127]
2021 | Journal Article | IST-REx-ID: 15013 | OA
Alt J, Erdös L, Krüger TH. Spectral radius of random matrices with independent entries. Probability and Mathematical Physics. 2021;2(2):221-280. doi:10.2140/pmp.2021.2.221
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[126]
2021 | Journal Article | IST-REx-ID: 8601 | OA
Cipolloni G, Erdös L, Schröder DJ. Edge universality for non-Hermitian random matrices. Probability Theory and Related Fields. 2021. doi:10.1007/s00440-020-01003-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[125]
2020 | Journal Article | IST-REx-ID: 7512 | OA
Erdös L, Krüger TH, Nemish Y. Local laws for polynomials of Wigner matrices. Journal of Functional Analysis. 2020;278(12). doi:10.1016/j.jfa.2020.108507
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[124]
2020 | Journal Article | IST-REx-ID: 9104 | OA
Bao Z, Erdös L, Schnelli K. On the support of the free additive convolution. Journal d’Analyse Mathematique. 2020;142:323-348. doi:10.1007/s11854-020-0135-2
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[123]
2020 | Journal Article | IST-REx-ID: 10862 | OA
Bao Z, Erdös L, Schnelli K. Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. 2020;279(7). doi:10.1016/j.jfa.2020.108639
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[122]
2020 | Journal Article | IST-REx-ID: 6488 | OA
Cipolloni G, Erdös L. Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Random Matrices: Theory and Application. 2020;9(3). doi:10.1142/S2010326320500069
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[121]
2020 | Journal Article | IST-REx-ID: 6185 | OA
Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices I: Local law and the complex Hermitian case. Communications in Mathematical Physics. 2020;378:1203-1278. doi:10.1007/s00220-019-03657-4
[Published Version] View | Files available | DOI | WoS | arXiv
 
[120]
2020 | Journal Article | IST-REx-ID: 14694 | OA
Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and cusps. Documenta Mathematica. 2020;25:1421-1539. doi:10.4171/dm/780
[Published Version] View | Files available | DOI | arXiv
 
[119]
2020 | Journal Article | IST-REx-ID: 6184 | OA
Alt J, Erdös L, Krüger TH, Schröder DJ. Correlated random matrices: Band rigidity and edge universality. Annals of Probability. 2020;48(2):963-1001. doi:10.1214/19-AOP1379
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[118]
2020 | Journal Article | IST-REx-ID: 15063 | OA
Cipolloni G, Erdös L, Schröder DJ. Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Probability and Mathematical Physics. 2020;1(1):101-146. doi:10.2140/pmp.2020.1.101
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[117]
2020 | Journal Article | IST-REx-ID: 15079
Erdös L, Götze F, Guionnet A. Random matrices. Oberwolfach Reports. 2020;16(4):3459-3527. doi:10.4171/owr/2019/56
View | DOI
 
[116]
2019 | Journal Article | IST-REx-ID: 429 | OA
Ajanki OH, Erdös L, Krüger TH. Stability of the matrix Dyson equation and random matrices with correlations. Probability Theory and Related Fields. 2019;173(1-2):293–373. doi:10.1007/s00440-018-0835-z
[Published Version] View | Files available | DOI | WoS
 
[115]
2019 | Journal Article | IST-REx-ID: 6511 | OA
Bao Z, Erdös L, Schnelli K. Local single ring theorem on optimal scale. Annals of Probability. 2019;47(3):1270-1334. doi:10.1214/18-AOP1284
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[114]
2019 | Journal Article | IST-REx-ID: 6182 | OA
Erdös L, Krüger TH, Schröder DJ. Random matrices with slow correlation decay. Forum of Mathematics, Sigma. 2019;7. doi:10.1017/fms.2019.2
[Published Version] View | Files available | DOI | WoS | arXiv
 
[113]
2019 | Journal Article | IST-REx-ID: 6186 | OA
Cipolloni G, Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices, II: The real symmetric case. Pure and Applied Analysis . 2019;1(4):615–707. doi:10.2140/paa.2019.1.615
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[112]
2019 | Journal Article | IST-REx-ID: 6240 | OA
Alt J, Erdös L, Krüger TH, Nemish Y. Location of the spectrum of Kronecker random matrices. Annales de l’institut Henri Poincare. 2019;55(2):661-696. doi:10.1214/18-AIHP894
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[111]
2018 | Journal Article | IST-REx-ID: 566 | OA
Alt J, Erdös L, Krüger TH. Local inhomogeneous circular law. Annals Applied Probability . 2018;28(1):148-203. doi:10.1214/17-AAP1302
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[110]
2018 | Journal Article | IST-REx-ID: 181 | OA
Erdös L, Krüger TH, Renfrew DT. Power law decay for systems of randomly coupled differential equations. SIAM Journal on Mathematical Analysis. 2018;50(3):3271-3290. doi:10.1137/17M1143125
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 
[109]
2018 | Journal Article | IST-REx-ID: 5971 | OA
Erdös L, Mühlbacher P. Bounds on the norm of Wigner-type random matrices. Random matrices: Theory and applications. 2018. doi:10.1142/s2010326319500096
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[108]
2018 | Journal Article | IST-REx-ID: 1012 | OA
Erdös L, Schröder DJ. Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues. International Mathematics Research Notices. 2018;2018(10):3255-3298. doi:10.1093/imrn/rnw330
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[107]
2018 | Preprint | IST-REx-ID: 6183 | OA
Alt J, Erdös L, Krüger TH. The Dyson equation with linear self-energy: Spectral bands, edges and  cusps. arXiv.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[106]
2017 | Journal Article | IST-REx-ID: 483 | OA
Bourgade P, Erdös L, Yau H, Yin J. Universality for a class of random band matrices. Advances in Theoretical and Mathematical Physics. 2017;21(3):739-800. doi:10.4310/ATMP.2017.v21.n3.a5
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[105]
2017 | Book | IST-REx-ID: 567
Erdös L, Yau H. A Dynamical Approach to Random Matrix Theory. Vol 28. American Mathematical Society; 2017. doi:10.1090/cln/028
View | DOI
 
[104]
2017 | Journal Article | IST-REx-ID: 615 | OA
Erdös L, Schnelli K. Universality for random matrix flows with time dependent density. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2017;53(4):1606-1656. doi:10.1214/16-AIHP765
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[103]
2017 | Journal Article | IST-REx-ID: 721 | OA
Ajanki OH, Krüger TH, Erdös L. Singularities of solutions to quadratic vector equations on the complex upper half plane. Communications on Pure and Applied Mathematics. 2017;70(9):1672-1705. doi:10.1002/cpa.21639
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[102]
2017 | Journal Article | IST-REx-ID: 1144 | OA
Erdös L, Schröder DJ. Fluctuations of functions of Wigner matrices. Electronic Communications in Probability. 2017;21. doi:10.1214/16-ECP38
[Published Version] View | Files available | DOI
 
[101]
2017 | Journal Article | IST-REx-ID: 1528 | OA
Bao Z, Erdös L. Delocalization for a class of random block band matrices. Probability Theory and Related Fields. 2017;167(3-4):673-776. doi:10.1007/s00440-015-0692-y
[Published Version] View | Files available | DOI | WoS
 
[100]
2017 | Journal Article | IST-REx-ID: 1337 | OA
Ajanki OH, Erdös L, Krüger TH. Universality for general Wigner-type matrices. Probability Theory and Related Fields. 2017;169(3-4):667-727. doi:10.1007/s00440-016-0740-2
[Published Version] View | Files available | DOI | WoS
 
[99]
2017 | Journal Article | IST-REx-ID: 1207 | OA
Bao Z, Erdös L, Schnelli K. Local law of addition of random matrices on optimal scale. Communications in Mathematical Physics. 2017;349(3):947-990. doi:10.1007/s00220-016-2805-6
[Published Version] View | Files available | DOI | WoS
 
[98]
2017 | Journal Article | IST-REx-ID: 1010 | OA
Alt J, Erdös L, Krüger TH. Local law for random Gram matrices. Electronic Journal of Probability. 2017;22. doi:10.1214/17-EJP42
[Published Version] View | Files available | DOI | WoS | arXiv
 
[97]
2017 | Journal Article | IST-REx-ID: 733 | OA
Bao Z, Erdös L, Schnelli K. Convergence rate for spectral distribution of addition of random matrices. Advances in Mathematics. 2017;319:251-291. doi:10.1016/j.aim.2017.08.028
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS
 
[96]
2016 | Journal Article | IST-REx-ID: 1280 | OA
Bourgade P, Erdös L, Yau H, Yin J. Fixed energy universality for generalized wigner matrices. Communications on Pure and Applied Mathematics. 2016;69(10):1815-1881. doi:10.1002/cpa.21624
[Preprint] View | DOI | Download Preprint (ext.)
 
[95]
2016 | Journal Article | IST-REx-ID: 1434 | OA
Bao Z, Erdös L, Schnelli K. Local stability of the free additive convolution. Journal of Functional Analysis. 2016;271(3):672-719. doi:10.1016/j.jfa.2016.04.006
[Preprint] View | DOI | Download Preprint (ext.)
 
[94]
2016 | Journal Article | IST-REx-ID: 1489 | OA
Ajanki OH, Erdös L, Krüger TH. Local spectral statistics of Gaussian matrices with correlated entries. Journal of Statistical Physics. 2016;163(2):280-302. doi:10.1007/s10955-016-1479-y
[Published Version] View | Files available | DOI
 
[93]
2015 | Journal Article | IST-REx-ID: 1508 | OA
Erdös L, Yau H. Gap universality of generalized Wigner and β ensembles. Journal of the European Mathematical Society. 2015;17(8):1927-2036. doi:10.4171/JEMS/548
[Preprint] View | DOI | Download Preprint (ext.)
 
[92]
2015 | Journal Article | IST-REx-ID: 1864 | OA
Erdös L, Knowles A. The Altshuler–Shklovskii formulas for random band matrices II: The general case. Annales Henri Poincare. 2015;16(3):709-799. doi:10.1007/s00023-014-0333-5
[Preprint] View | DOI | Download Preprint (ext.)
 
[91]
2015 | Journal Article | IST-REx-ID: 2166 | OA
Erdös L, Knowles A. The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case. Communications in Mathematical Physics. 2015;333(3):1365-1416. doi:10.1007/s00220-014-2119-5
[Preprint] View | DOI | Download Preprint (ext.)
 
[90]
2014 | Journal Article | IST-REx-ID: 1937 | OA
Bourgade P, Erdös L, Yau H. Edge universality of beta ensembles. Communications in Mathematical Physics. 2014;332(1):261-353. doi:10.1007/s00220-014-2120-z
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[89]
2014 | Journal Article | IST-REx-ID: 2019 | OA
Erdös L, Schröder DJ. Phase transition in the density of states of quantum spin glasses. Mathematical Physics, Analysis and Geometry. 2014;17(3-4):441-464. doi:10.1007/s11040-014-9164-3
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[88]
2014 | Journal Article | IST-REx-ID: 2179 | OA
Ajanki OH, Erdös L, Krüger TH. Local semicircle law with imprimitive variance matrix. Electronic Communications in Probability. 2014;19. doi:10.1214/ECP.v19-3121
[Published Version] View | Files available | DOI
 
[87]
2014 | Journal Article | IST-REx-ID: 2225 | OA
Bloemendal A, Erdös L, Knowles A, Yau H, Yin J. Isotropic local laws for sample covariance and generalized Wigner matrices. Electronic Journal of Probability. 2014;19. doi:10.1214/EJP.v19-3054
[Published Version] View | Files available | DOI
 
[86]
2014 | Journal Article | IST-REx-ID: 2699 | OA
Erdös L, Bourgade P, Yau H. Universality of general β-ensembles. Duke Mathematical Journal. 2014;163(6):1127-1190. doi:10.1215/00127094-2649752
[Preprint] View | DOI | Download Preprint (ext.)
 
[85]
2014 | Conference Paper | IST-REx-ID: 1507 | OA
Erdös L. Random matrices, log-gases and Hölder regularity. In: Proceedings of the International Congress of Mathematicians. Vol 3. International Congress of Mathematicians; 2014:214-236.
[Submitted Version] View | Download Submitted Version (ext.)
 
[84]
2013 | Journal Article | IST-REx-ID: 2698 | OA
Erdös L, Fournais S, Solovej J. Stability and semiclassics in self-generated fields. Journal of the European Mathematical Society. 2013;15(6):2093-2113. doi:10.4171/JEMS/416
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[83]
2013 | Journal Article | IST-REx-ID: 2697 | OA
Erdös L, Knowles A, Yau H, Yin J. Delocalization and diffusion profile for random band matrices. Communications in Mathematical Physics. 2013;323(1):367-416. doi:10.1007/s00220-013-1773-3
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[82]
2013 | Journal Article | IST-REx-ID: 2782 | OA
Erdös L, Farrell B. Local eigenvalue density for general MANOVA matrices. Journal of Statistical Physics. 2013;152(6):1003-1032. doi:10.1007/s10955-013-0807-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[81]
2013 | Journal Article | IST-REx-ID: 2781 | OA
Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs I: Local semicircle law. Annals of Probability. 2013;41(3 B):2279-2375. doi:10.1214/11-AOP734
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[80]
2013 | Journal Article | IST-REx-ID: 2780 | OA
Erdös L, Knowles A, Yau H. Averaging fluctuations in resolvents of random band matrices. Annales Henri Poincare. 2013;14(8):1837-1926. doi:10.1007/s00023-013-0235-y
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[79]
2013 | Journal Article | IST-REx-ID: 2837 | OA
Erdös L, Knowles A, Yau H, Yin J. The local semicircle law for a general class of random matrices. Electronic Journal of Probability. 2013;18(59):1-58. doi:10.1214/EJP.v18-2473
[Published Version] View | Files available | DOI
 
[78]
2012 | Preprint | IST-REx-ID: 2696 | OA
Erdös L. Universality for random matrices and log-gases. ArXiv. 2012.
View | Download (ext.)
 
[77]
2012 | Conference Paper | IST-REx-ID: 2700 | OA
Erdös L. Lecture notes on quantum Brownian motion. In: Vol 95. Oxford University Press; 2012:3-98.
View | Download (ext.)
 
[76]
2012 | Journal Article | IST-REx-ID: 2770
Erdös L, Yau H, Yin J. Rigidity of eigenvalues of generalized Wigner matrices. Advances in Mathematics. 2012;229(3):1435-1515. doi:10.1016/j.aim.2011.12.010
View | DOI
 
[75]
2012 | Journal Article | IST-REx-ID: 2769
Erdös L, Schlein B, Yau H, Yin J. The local relaxation flow approach to universality of the local statistics for random matrices. Annales de l’institut Henri Poincare (B) Probability and Statistics. 2012;48(1):1-46. doi:10.1214/10-AIHP388
View | DOI
 
[74]
2012 | Journal Article | IST-REx-ID: 2767
Erdös L, Yau H, Yin J. Bulk universality for generalized Wigner matrices. Probability Theory and Related Fields. 2012;154(1-2):341-407. doi:10.1007/s00440-011-0390-3
View | DOI
 
[73]
2012 | Journal Article | IST-REx-ID: 2768
Erdös L, Hasler D. Wegner estimate and Anderson localization for random magnetic fields. Communications in Mathematical Physics. 2012;309(2):507-542. doi:10.1007/s00220-011-1373-z
View | DOI
 
[72]
2012 | Journal Article | IST-REx-ID: 2775
Erdös L, Yau H. Universality of local spectral statistics of random matrices. Bulletin of the American Mathematical Society. 2012;49(3):377-414. doi:10.1090/S0273-0979-2012-01372-1
View | DOI
 
[71]
2012 | Journal Article | IST-REx-ID: 2777
Erdös L, Fournais S, Solovej J. Relativistic Scott correction in self-generated magnetic fields. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697417
View | DOI
 
[70]
2012 | Journal Article | IST-REx-ID: 2772
Erdös L, Fournais S, Solovej J. Second order semiclassics with self generated magnetic fields. Annales Henri Poincare. 2012;13(4):671-730. doi:10.1007/s00023-011-0150-z
View | DOI
 
[69]
2012 | Journal Article | IST-REx-ID: 2776
Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues. Communications in Mathematical Physics. 2012;314(3):587-640. doi:10.1007/s00220-012-1527-7
View | DOI
 
[68]
2012 | Journal Article | IST-REx-ID: 2774
Erdös L, Fournais S, Solovej J. Scott correction for large atoms and molecules in a self-generated magnetic field. Communications in Mathematical Physics. 2012;312(3):847-882. doi:10.1007/s00220-012-1468-1
View | DOI
 
[67]
2012 | Journal Article | IST-REx-ID: 2773
Erdös L, Yau H. A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Electronic Journal of Probability. 2012;17. doi:10.1214/EJP.v17-1779
View | DOI
 
[66]
2012 | Journal Article | IST-REx-ID: 2771
Erdös L, Hasler D. Anderson localization at band edges for random magnetic fields. Journal of Statistical Physics. 2012;146(5):900-923. doi:10.1007/s10955-012-0445-6
View | DOI
 
[65]
2012 | Journal Article | IST-REx-ID: 2778
Bourgade P, Erdös L, Yau H. Bulk universality of general β-ensembles with non-convex potential. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.4751478
View | DOI
 
[64]
2012 | Journal Article | IST-REx-ID: 2779
Erdös L, Hasler D. Wegner estimate for random magnetic Laplacian on ℤ 2. Annales Henri Poincare. 2012;13(8):1719-1731. doi:10.1007/s00023-012-0177-9
View | DOI
 
[63]
2011 | Journal Article | IST-REx-ID: 2717
Erdös L, Knowles A. Quantum diffusion and eigenfunction delocalization in a random band matrix model. Communications in Mathematical Physics. 2011;303(2):509-554. doi:10.1007/s00220-011-1204-2
View | DOI
 
[62]
2011 | Book Review | IST-REx-ID: 2765
Erdös L. Universality of Wigner random matrices: A survey of recent results. Russian Mathematical Surveys. 2011;66(3):507-626. doi:10.1070/RM2011v066n03ABEH004749
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[61]
2011 | Journal Article | IST-REx-ID: 2766
Erdös L, Knowles A. Quantum diffusion and delocalization for band matrices with general distribution. Annales Henri Poincare. 2011;12(7):1227-1319. doi:10.1007/s00023-011-0104-5
View | DOI
 
[60]
2011 | Journal Article | IST-REx-ID: 2764
Erdös L, Schlein B, Yau H. Universality of random matrices and local relaxation flow. Inventiones Mathematicae. 2011;185(1):75-119. doi:10.1007/s00222-010-0302-7
View | DOI
 
[59]
2010 | Journal Article | IST-REx-ID: 2704
Erdös L, Schlein B, Yau H. Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Annals of Mathematics. 2010;172(1):291-370. doi:10.4007/annals.2010.172.291
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[58]
2010 | Journal Article | IST-REx-ID: 2701 | OA
Erdös L, Schlein B, Yau H. Wegner estimate and level repulsion for Wigner random matrices. International Mathematics Research Notices. 2010;(3):436-479. doi:10.1093/imrn/rnp136
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[57]
2010 | Journal Article | IST-REx-ID: 2762
Erdös L, Ramírez J, Yau H, Péché S, Schlein B. Bulk universality for Wigner matrices. Communications on Pure and Applied Mathematics. 2010;63(7):895-925. doi:10.1002/cpa.20317
View | DOI
 
[56]
2010 | Journal Article | IST-REx-ID: 2761
Erdös L, Ramírez J, Schlein B, Yau H. Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Electronic Journal of Probability. 2010;15(18):526-603. doi:10.1214/EJP.v15-768
View | DOI
 
[55]
2010 | Journal Article | IST-REx-ID: 2756
Erdös L, Solovej J. Ground state energy of large atoms in a self-generated magnetic field. Communications in Mathematical Physics. 2010;294(1):229-249. doi:10.1007/s00220-009-0869-2
View | DOI
 
[54]
2010 | Journal Article | IST-REx-ID: 2763
Erdös L, Ramírez J, Schlein B, Tao T, Van V, Yau H. Bulk universality for Wigner Hermitian matrices with subexponential decay. Mathematical Research Letters. 2010;17(4):667-674.
View
 
[53]
2009 | Journal Article | IST-REx-ID: 2703
Erdös L, Schlein B, Yau H. Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Annals of Probability. 2009;37(3):815-852. doi:10.1214/08-AOP421
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[52]
2009 | Journal Article | IST-REx-ID: 2759
Erdös L, Michelangeli A, Schlein B. Dynamical formation of correlations in a Bose-Einstein condensate. Communications in Mathematical Physics. 2009;289(3):1171-1210. doi:10.1007/s00220-009-0828-y
View | DOI
 
[51]
2009 | Journal Article | IST-REx-ID: 2758
Erdös L, Schlein B, Yau H. Local semicircle law and complete delocalization for Wigner random matrices. Communications in Mathematical Physics. 2009;287(2):641-655. doi:10.1007/s00220-008-0636-9
View | DOI
 
[50]
2009 | Journal Article | IST-REx-ID: 2757
Erdös L, Schlein B. Quantum dynamics with mean field interactions: A new approach. Journal of Statistical Physics. 2009;134(5-6):859-870. doi:10.1007/s10955-008-9570-7
View | DOI
 
[49]
2009 | Journal Article | IST-REx-ID: 2760
Erdös L, Schlein B, Yau H. Rigorous derivation of the gross-pitaevskii equation with a large interaction potential. Journal of the American Mathematical Society. 2009;22(4):1099-1156. doi:10.1090/S0894-0347-09-00635-3
View | DOI
 
[48]
2008 | Conference Paper | IST-REx-ID: 2702 | OA
Erdös L, Salmhofer M, Yau H. Feynman graphs and renormalization in quantum diffusion. In: World Scientific Publishing; 2008:167-182. doi:10.1142/9789812833556_0011
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[47]
2008 | Journal Article | IST-REx-ID: 2753
Erdös L, Salmhofer M, Yau H. Quantum diffusion of the random Schrödinger evolution in the scaling limit. Acta Mathematica. 2008;200(2):211-277. doi:10.1007/s11511-008-0027-2
View | DOI
 
[46]
2008 | Journal Article | IST-REx-ID: 2754
Adami R, Erdös L. Rate of decoherence for an electron weakly coupled to a phonon gas. Journal of Statistical Physics. 2008;132(2):301-328. doi:10.1007/s10955-008-9561-8
View | DOI
 
[45]
2008 | Journal Article | IST-REx-ID: 2755
Erdös L, Schlein B, Yau H. Ground-state energy of a low-density Bose gas: A second-order upper bound. Physical Review A - Atomic, Molecular, and Optical Physics. 2008;78(5). doi:10.1103/PhysRevA.78.053627
View | DOI
 
[44]
2007 | Book Chapter | IST-REx-ID: 2705 | OA
Erdös L. Recent developments in quantum mechanics with magnetic fields. In: Gesztesy F, Deift P, Galvez P, Perry P, Schlag W, eds. Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday . Vol 76. American Mathematical Society; 2007:401-428.
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[43]
2007 | Journal Article | IST-REx-ID: 2750
Erdös L, Salmhofer M, Yau H. Quantum diffusion of the random Schrödinger evolution in the scaling limit II. The recollision diagrams. Communications in Mathematical Physics. 2007;271(1):1-53. doi:10.1007/s00220-006-0158-2
View | DOI
 
[42]
2007 | Journal Article | IST-REx-ID: 2751
Erdös L, Salmhofer M, Yau H. Quantum diffusion for the Anderson model in the scaling limit. Annales Henri Poincare. 2007;8(4):621-685. doi:10.1007/s00023-006-0318-0
View | DOI
 
[41]
2007 | Journal Article | IST-REx-ID: 2752
Erdös L, Salmhofer M. Decay of the Fourier transform of surfaces with vanishing curvature. Mathematische Zeitschrift. 2007;257(2):261-294. doi:10.1007/s00209-007-0125-4
View | DOI
 
[40]
2007 | Book Review | IST-REx-ID: 2749
Erdös L, Schlein B, Yau H. Derivation of the cubic non linear Schrödinger equation from quantum dynamics of many body systems. Inventiones Mathematicae. 2007;167(3):515-614. doi:10.1007/s00222-006-0022-1
View | DOI
 
[39]
2007 | Journal Article | IST-REx-ID: 2748
Erdös L, Schlein B, Yau H. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 2007;98(4). doi:10.1103/PhysRevLett.98.040404
View | DOI
 
[38]
2006 | Journal Article | IST-REx-ID: 2747
Erdös L, Schlein B, Yau H. Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Communications on Pure and Applied Mathematics. 2006;59(12):1659-1741. doi:10.1002/cpa.20123
View | DOI
 
[37]
2006 | Journal Article | IST-REx-ID: 2745
Elgart A, Erdös L, Schlein B, Yau H. Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. Archive for Rational Mechanics and Analysis. 2006;179(2):265-283. doi:10.1007/s00205-005-0388-z
View | DOI
 
[36]
2006 | Conference Paper | IST-REx-ID: 2746
Erdös L, Salmhofer M, Yau H. Towards the quantum Brownian motion. In: Vol 690. World Scientific Publishing; 2006:233-257. doi:10.1007/3-540-34273-7_18
View | DOI
 
[35]
2005 | Journal Article | IST-REx-ID: 2744
Eng D, Erdös L. The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Reviews in Mathematical Physics. 2005;17(6):669-743. doi:10.1142/S0129055X0500242X
View | DOI
 
[34]
2005 | Journal Article | IST-REx-ID: 2743
Erdös L, Hasler D, Solovej J. Existence of the D0-D4 bound state: A detailed proof. Annales Henri Poincare. 2005;6(2):247-267. doi:10.1007/s00023-005-0205-0
View | DOI
 
[33]
2004 | Journal Article | IST-REx-ID: 2706
Erdös L, Solovej J. Magnetic Lieb-Thirring inequalities with optimal dependence on the field strength. Journal of Statistical Physics. 2004;116(1-4):475-506. doi:10.1023/B:JOSS.0000037216.45270.1d
View | DOI
 
[32]
2004 | Journal Article | IST-REx-ID: 2707
Erdös L, Salmhofer M, Yau H. On the quantum Boltzmann equation. Journal of Statistical Physics. 2004;116(1-4):367-380. doi:10.1023/B:JOSS.0000037224.56191.ed
View | DOI
 
[31]
2004 | Journal Article | IST-REx-ID: 2741
Erdös L, Solovej J. Uniform Lieb-Thirring inequality for the three-dimensional Pauli operator with a strong non-homogeneous magnetic field. Annales Henri Poincare. 2004;5(4):671-741. doi:10.1007/s00023-004-0180-x
View | DOI
 
[30]
2004 | Journal Article | IST-REx-ID: 2742
Elgart A, Erdös L, Schlein B, Yau H. Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Journal de Mathématiques Pures et Appliquées. 2004;83(10):1241-1273. doi:10.1016/j.matpur.2004.03.006
View | DOI
 
[29]
2002 | Conference Paper | IST-REx-ID: 2708
Erdös L. Two dimensional Pauli operator via scalar potential. In: Vol 307. World Scientific Publishing; 2002:129-133. doi:10.1090/conm/307
View | DOI
 
[28]
2002 | Journal Article | IST-REx-ID: 2739
Erdös L, Vougalter V. Pauli operator and Aharonov–Casher theorem¶ for measure valued magnetic fields. Communications in Mathematical Physics. 2002;225(2):399-421. doi:10.1007/s002200100585
View | DOI | arXiv
 
[27]
2002 | Journal Article | IST-REx-ID: 2738
Erdös L. Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics. 2002;107(5-6):1043-1127. doi:10.1023/A:1015157624384
[Submitted Version] View | DOI | arXiv
 
[26]
2002 | Journal Article | IST-REx-ID: 2740
Erdös L. Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions. Annales de l’Institut Fourier. 2002;52(6):1833-1874. doi:10.5802/aif.1936
View | DOI
 
[25]
2002 | Journal Article | IST-REx-ID: 2737
Bardos C, Erdös L, Golse F, Mauser N, Yau H. Derivation of the Schrödinger-Poisson equation from the quantum N-body problem. Comptes Rendus Mathematique. 2002;334(6):515-520. doi:10.1016/S1631-073X(02)02253-7
View | DOI
 
[24]
2002 | Book Chapter | IST-REx-ID: 2694
Erdös L. Scaling limits of Schrödinger quantum mechanics. In: Dynamics of Dissipation. Lecture Notes in Physics. Springer; 2002:487-506. doi:10.1007/3-540-46122-1_19
View | DOI
 
[23]
2001 | Journal Article | IST-REx-ID: 2736 | OA
Erdös L, Yau H. Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Advances in Theoretical and Mathematical Physics. 2001;5(6):1169-1205. doi:10.48550/arXiv.math-ph/0111042
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[22]
2001 | Journal Article | IST-REx-ID: 2735 | OA
Erdös L. Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case. Probability Theory and Related Fields. 2001;121(2):219-236. doi:10.1007/PL00008803
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[21]
2001 | Journal Article | IST-REx-ID: 2734 | OA
Erdös L, Solovej J. The kernel of Dirac operators on S3 and R3. Reviews in Mathematical Physics. 2001;13(10):1247-1280. doi:10.1142/S0129055X01000983
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[20]
2001 | Book Chapter | IST-REx-ID: 2709
Erdös L. Long time dynamics of an electron in a weakly coupled phonon field. In: 13th International Congress of Mathematical Physics. International Press of Boston; 2001:273-281.
View
 
[19]
2000 | Journal Article | IST-REx-ID: 2732
Castella F, Erdös L, Frommlet F, Markowich P. Fokker-Planck equations as scaling limits of reversible quantum systems. Journal of Statistical Physics. 2000;100(3-4):543-601. doi:10.1023/A:1018667323830
View | DOI
 
[18]
2000 | Journal Article | IST-REx-ID: 2731
Erdös L, Yau H. Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Communications on Pure and Applied Mathematics. 2000;53(6):667-735. doi:10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5
[Preprint] View | DOI | arXiv
 
[17]
2000 | Book Chapter | IST-REx-ID: 2710
Erdös L. The kernel of Dirac operators on S3 and R3. In: Differential Equations and Mathematical Physics. Vol 16. American Mathematical Society; 2000:111-119. doi:10.1090/amsip/016
[Preprint] View | DOI | arXiv
 
[16]
2000 | Journal Article | IST-REx-ID: 2733
Erdös L, Loss M, Vougalter V. Diamagnetic behavior of sums Dirichlet eigenvalues. Annales de l’Institut Fourier. 2000;50(3):891-907. doi:10.5802/aif.1777
View | DOI
 
[15]
1999 | Conference Paper | IST-REx-ID: 2711
Erdös L. Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. In: Proceedings of the 7th QMath Conference. Vol 108. World Scientific Publishing; 1999:233-242. doi:10.1007/978-3-0348-8745-8_20
View | DOI
 
[14]
1999 | Journal Article | IST-REx-ID: 2730
Erdös L, Solovej J. Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields, I: Nonasymptotic Lieb-Thirring-type estimate. Duke Mathematical Journal. 1999;96(1):127-173. doi:10.1215/S0012-7094-99-09604-7
View | DOI
 
[13]
1998 | Book Chapter | IST-REx-ID: 2695
Erdös L, Yau H. Linear Boltzmann equation as scaling limit of quantum Lorentz gas. In: Advances in Differential Equations and Mathematical Physics. Vol 217. American Mathematical Society; 1998:137-155. doi:10.1090/conm/217
View | DOI
 
[12]
1998 | Journal Article | IST-REx-ID: 2728
Erdös L. Lifschitz tail in a magnetic field: The nonclassical regime. Probability Theory and Related Fields. 1998;112(3):321-371. doi:10.1007/s004400050193
View | DOI
 
[11]
1997 | Journal Article | IST-REx-ID: 2729
Erdös L, Solovej J. Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields, II. Leading order asymptotic estimates. Communications in Mathematical Physics. 1997;188(3):599-656. doi:10.1007/s002200050181
View | DOI
 
[10]
1997 | Journal Article | IST-REx-ID: 2727
Erdös L. Dia- and paramagnetism for nonhomogeneous magnetic fields. Journal of Mathematical Physics. 1997;38(3):1289-1317. doi:10.1063/1.531909
View | DOI
 
[9]
1996 | Journal Article | IST-REx-ID: 2726
Erdös L. Gaussian decay of the magnetic eigenfunctions. Geometric and Functional Analysis. 1996;6(2):231-248. doi:10.1007/BF02247886
View | DOI
 
[8]
1996 | Journal Article | IST-REx-ID: 2725
Erdös L. Rayleigh-type isoperimetric inequality with a homogeneous magnetic field. Calculus of Variations and Partial Differential Equations. 1996;4(3):283-292. doi:10.1007/BF01254348
View | DOI
 
[7]
1995 | Conference Paper | IST-REx-ID: 2712
Erdös L. Magnetic Lieb-Thirring inequalities and stochastic oscillatory integrals. In: Vol 78. Birkhäuser; 1995:127-132. doi:10.1007/978-3-0348-9092-2_13
View | DOI | Download None (ext.)
 
[6]
1995 | Journal Article | IST-REx-ID: 2724
Erdös L. Magnetic Lieb-Thirring inequalities. Communications in Mathematical Physics. 1995;170(3):629-668. doi:10.1007/BF02099152
View | DOI | Download None (ext.)
 
[5]
1994 | Journal Article | IST-REx-ID: 2713
Erdös L. Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator. Duke Mathematical Journal. 1994;76(2):541-566. doi:10.1215/S0012-7094-94-07619-9
View | DOI | Download None (ext.)
 
[4]
1993 | Journal Article | IST-REx-ID: 2723
Erdös L. Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics. 1993;29(3):219-240. doi:10.1007/BF00761110
View | DOI | Download None (ext.)
 
[3]
1992 | Journal Article | IST-REx-ID: 2714
Erdös L. On some problems of P. Turán concerning power sums of complex numbers. Acta Mathematica Hungarica. 1992;59(1-2):11-24. doi:10.1007/BF00052086
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[2]
1992 | Journal Article | IST-REx-ID: 2722 | OA
Erdös L, Tuyen D. Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers. Communications in Mathematical Physics. 1992;143(3):451-466. doi:10.1007/BF02099260
[Published Version] View | DOI | Download Published Version (ext.)
 
[1]
1990 | Journal Article | IST-REx-ID: 2721
Erdös L, Tuyen D. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. Journal of Statistical Physics. 1990;59(5-6):1589-1602. doi:10.1007/BF01334766
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