120 Publications

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[120]
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.:108507. doi:10.1016/j.jfa.2020.108507
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[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.
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[118]
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. 2020:50. doi:10.1007/s00220-019-03657-4
View | Files available | DOI | Download Published Version (ext.) | arXiv
 
[117]
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
View | Files available | DOI
 
[116]
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
View | Files available | DOI | arXiv
 
[115]
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
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[114]
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
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[113]
2019 | 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. 2019. doi:10.1142/S2010326320500069
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[112]
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
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[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
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[110]
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
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[109]
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.
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[108]
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
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[107]
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
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[106]
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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[105]
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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[104]
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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[103]
2017 | Book | IST-REx-ID: 567
Erdös L, Yau H. A Dynamical Approach to Random Matrix Theory. Vol 28. American Mathematical Society; 2017.
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[102]
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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[101]
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
View | Files available | DOI
 
[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
View | Files available | DOI
 
[99]
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
View | Files available | DOI
 
[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
View | Files available | DOI | arXiv
 
[97]
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
View | Files available | DOI
 
[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
View | Files available | DOI
 
[93]
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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[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: 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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[90]
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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[89]
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
View | Files available | DOI
 
[88]
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
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[87]
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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[86]
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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[85]
2014 | Conference Paper | IST-REx-ID: 1507 | OA
Erdös L. Random matrices, log-gases and Hölder regularity. In: Vol 3. Kyung Moon SA Co. Ltd.; 2014:214-236.
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[84]
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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[83]
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
View | DOI | Download Preprint (ext.) | arXiv
 
[82]
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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[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: 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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[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
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: 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
 
[75]
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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[74]
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
 
[73]
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
 
[72]
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
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[71]
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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[70]
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
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[69]
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
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[68]
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
 
[67]
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
 
[66]
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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[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
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[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
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[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
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[62]
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
 
[61]
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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[60]
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
 
[59]
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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[58]
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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[57]
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
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[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
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[55]
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
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[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.
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[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: 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
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[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
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[50]
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
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[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
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[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
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[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: 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
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[42]
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
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[41]
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
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[40]
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
 
[39]
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
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[38]
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
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[37]
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
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[36]
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
 
[35]
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
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[34]
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
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[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
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[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
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[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
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[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: 2694
Erdös L. Scaling limits of Schrödinger quantum mechanics. In: Vol 597. Springer; 2002:487-506. doi:10.1007/3-540-46122-1_19
View | DOI
 
[28]
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
 
[27]
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
 
[26]
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
View | DOI
 
[25]
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
 
[24]
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+XI+VII. doi:10.5802/aif.1936
View | DOI
 
[23]
2001 | Journal Article | IST-REx-ID: 2709
Erdös L. Long time dynamics of an electron in a weakly coupled phonon field. ICMP: International Congress on Mathematical Physics. 2001:273-281.
View
 
[22]
2001 | Journal Article | IST-REx-ID: 2734
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
View | DOI
 
[21]
2001 | Journal Article | IST-REx-ID: 2735
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
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[120]
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.:108507. doi:10.1016/j.jfa.2020.108507
View | DOI | Download Preprint (ext.) | 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.
View | Files available | Download Preprint (ext.) | arXiv
 
[118]
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. 2020:50. doi:10.1007/s00220-019-03657-4
View | Files available | DOI | Download Published Version (ext.) | arXiv
 
[117]
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
View | Files available | DOI
 
[116]
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
View | Files available | DOI | arXiv
 
[115]
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
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[114]
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
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[113]
2019 | 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. 2019. doi:10.1142/S2010326320500069
View | DOI | Download Preprint (ext.) | arXiv
 
[112]
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
View | DOI | Download Preprint (ext.) | 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
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[110]
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
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[109]
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.
View | Files available | Download Preprint (ext.) | arXiv
 
[108]
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
View | DOI | Download Published Version (ext.) | arXiv
 
[107]
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
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[106]
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
View | DOI | Download Submitted Version (ext.)
 
[105]
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
View | DOI | Download Submitted Version (ext.)
 
[104]
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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[103]
2017 | Book | IST-REx-ID: 567
Erdös L, Yau H. A Dynamical Approach to Random Matrix Theory. Vol 28. American Mathematical Society; 2017.
View
 
[102]
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
View | DOI | Download Submitted Version (ext.)
 
[101]
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
View | Files available | DOI
 
[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
View | Files available | DOI
 
[99]
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
View | Files available | DOI
 
[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
View | Files available | DOI | arXiv
 
[97]
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
View | Files available | DOI
 
[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
View | Files available | DOI
 
[93]
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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[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: 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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[90]
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
View | DOI | Download Submitted Version (ext.)
 
[89]
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
View | Files available | DOI
 
[88]
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
View | Files available | DOI
 
[87]
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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[86]
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
View | DOI | Download Submitted Version (ext.)
 
[85]
2014 | Conference Paper | IST-REx-ID: 1507 | OA
Erdös L. Random matrices, log-gases and Hölder regularity. In: Vol 3. Kyung Moon SA Co. Ltd.; 2014:214-236.
View | Download Submitted Version (ext.)
 
[84]
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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[83]
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
View | DOI | Download Preprint (ext.) | arXiv
 
[82]
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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[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: 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
View | DOI | Download Preprint (ext.) | arXiv
 
[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
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: 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
 
[75]
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
 
[74]
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
 
[73]
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
 
[72]
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
 
[71]
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
 
[70]
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
 
[69]
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
 
[68]
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
 
[67]
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
 
[66]
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
 
[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 | 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
 
[61]
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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[60]
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
 
[59]
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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[58]
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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[57]
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
 
[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: 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
 
[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: 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
 
[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: 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
 
[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: 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
 
[42]
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
 
[41]
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
 
[40]
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
 
[39]
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
 
[38]
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
 
[37]
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
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[36]
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
 
[35]
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
 
[34]
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
 
[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: 2694
Erdös L. Scaling limits of Schrödinger quantum mechanics. In: Vol 597. Springer; 2002:487-506. doi:10.1007/3-540-46122-1_19
View | DOI
 
[28]
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
 
[27]
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
 
[26]
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
View | DOI
 
[25]
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
 
[24]
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+XI+VII. doi:10.5802/aif.1936
View | DOI
 
[23]
2001 | Journal Article | IST-REx-ID: 2709
Erdös L. Long time dynamics of an electron in a weakly coupled phonon field. ICMP: International Congress on Mathematical Physics. 2001:273-281.
View
 
[22]
2001 | Journal Article | IST-REx-ID: 2734
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
View | DOI
 
[21]
2001 | Journal Article | IST-REx-ID: 2735
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
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