119 Publications

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[119]
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 (ext.) | arXiv
 
[118]
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 (ext.) | arXiv
 
[117]
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 (ext.) | arXiv
 
[116]
2019 | Journal Article | IST-REx-ID: 6182
Erdös L, Krüger TH, Schröder DJ. Random matrices with slow correlation decay. Forum of Mathematics, Sigma. 2019;7:e8. doi:10.1017/fms.2019.2
View | Files available | DOI | arXiv
 
[115]
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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[114]
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 (ext.) | arXiv
 
[113]
2018 | Preprint | IST-REx-ID: 6185
Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices I: Local law and the complex hermitian case. arXiv.
View | Files available | Download (ext.) | arXiv
 
[112]
2018 | Preprint | IST-REx-ID: 6186
Cipolloni G, Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices II: The real symmetric case. arXiv.
View | Files available | Download (ext.) | arXiv
 
[111]
2018 | 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. 2018. doi:10.1007/s00440-018-0835-z
View | Files available | DOI
 
[110]
2018 | Journal Article | IST-REx-ID: 1012
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 (ext.) | 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
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[108]
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:180407752.
View | Files available | Download (ext.) | arXiv
 
[107]
2018 | Preprint | IST-REx-ID: 6184
Alt J, Erdös L, Krüger TH, Schröder DJ. Correlated random matrices: Band rigidity and edge universality. arXiv:180407744.
View | Files available | Download (ext.) | arXiv
 
[106]
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
 
[105]
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;22:25. doi:10.1214/17-EJP42
View | Files available | DOI | arXiv
 
[104]
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
 
[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: 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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[101]
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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[100]
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
 
[99]
2017 | Journal Article | IST-REx-ID: 1144
Erdös L, Schröder DJ. Fluctuations of functions of Wigner matrices. Electronic Communications in Probability. 2017;21:86. doi:10.1214/16-ECP38
View | Files available | DOI
 
[98]
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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[97]
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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[96]
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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[95]
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
 
[94]
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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[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: 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;19:33. doi:10.1214/EJP.v19-3054
View | Files available | DOI
 
[87]
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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[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 | 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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[84]
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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[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: 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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[81]
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
 
[80]
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 (ext.) | arXiv
 
[79]
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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[78]
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
 
[77]
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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[76]
2012 | Preprint | IST-REx-ID: 2696   OA
Erdös L. Universality for random matrices and log-gases. ArXiv. 2012.
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[75]
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
 
[74]
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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[73]
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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[72]
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
 
[71]
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
 
[70]
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
 
[69]
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
 
[68]
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
 
[67]
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
 
[66]
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
 
[65]
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
 
[64]
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
 
[63]
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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[62]
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
 
[61]
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
 
[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: 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
 
[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: 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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[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: 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
 
[52]
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
 
[51]
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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[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: 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
 
[48]
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
 
[47]
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
 
[46]
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
 
[45]
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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[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 | 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
 
[41]
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
 
[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 | 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
 
[37]
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
 
[36]
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
 
[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: 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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[32]
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
 
[31]
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
 
[30]
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
 
[29]
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
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[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 | 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
 
[25]
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
 
[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: 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
 
[22]
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
 
[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
View | DOI
 
[20]
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.
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[19]
2000 | Conference Paper | IST-REx-ID: 2710
Erdös L. The kernel of Dirac operators on S3 and R3. In: Vol 16. American Mathematical Society; 2000:111-119.
View
 
[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
View | DOI
 
[17]
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
 
[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: 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 | Conference Paper | IST-REx-ID: 2695
Erdös L, Yau H. Linear Boltzmann equation as scaling limit of quantum Lorentz gas. In: 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: 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
 
[10]
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
 
[9]
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
 
[8]
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
 
[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
 
[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
 
[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
 
[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
 
[3]
1992 | Journal Article | IST-REx-ID: 2722
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
View | DOI
 
[2]
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
View | DOI
 
[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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[119]
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 (ext.) | arXiv
 
[118]
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 (ext.) | arXiv
 
[117]
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 (ext.) | arXiv
 
[116]
2019 | Journal Article | IST-REx-ID: 6182
Erdös L, Krüger TH, Schröder DJ. Random matrices with slow correlation decay. Forum of Mathematics, Sigma. 2019;7:e8. doi:10.1017/fms.2019.2
View | Files available | DOI | arXiv
 
[115]
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 (ext.) | arXiv
 
[114]
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 (ext.) | arXiv
 
[113]
2018 | Preprint | IST-REx-ID: 6185
Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices I: Local law and the complex hermitian case. arXiv.
View | Files available | Download (ext.) | arXiv
 
[112]
2018 | Preprint | IST-REx-ID: 6186
Cipolloni G, Erdös L, Krüger TH, Schröder DJ. Cusp universality for random matrices II: The real symmetric case. arXiv.
View | Files available | Download (ext.) | arXiv
 
[111]
2018 | 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. 2018. doi:10.1007/s00440-018-0835-z
View | Files available | DOI
 
[110]
2018 | Journal Article | IST-REx-ID: 1012
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 (ext.) | 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
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[108]
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:180407752.
View | Files available | Download (ext.) | arXiv
 
[107]
2018 | Preprint | IST-REx-ID: 6184
Alt J, Erdös L, Krüger TH, Schröder DJ. Correlated random matrices: Band rigidity and edge universality. arXiv:180407744.
View | Files available | Download (ext.) | arXiv
 
[106]
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
 
[105]
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;22:25. doi:10.1214/17-EJP42
View | Files available | DOI | arXiv
 
[104]
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
 
[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: 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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[101]
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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[100]
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
 
[99]
2017 | Journal Article | IST-REx-ID: 1144
Erdös L, Schröder DJ. Fluctuations of functions of Wigner matrices. Electronic Communications in Probability. 2017;21:86. doi:10.1214/16-ECP38
View | Files available | DOI
 
[98]
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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[97]
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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[96]
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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[95]
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
 
[94]
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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[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: 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;19:33. doi:10.1214/EJP.v19-3054
View | Files available | DOI
 
[87]
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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[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 | 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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[84]
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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[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: 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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[81]
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
 
[80]
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 (ext.) | arXiv
 
[79]
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 (ext.) | arXiv
 
[78]
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
 
[77]
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
 
[76]
2012 | Preprint | IST-REx-ID: 2696   OA
Erdös L. Universality for random matrices and log-gases. ArXiv. 2012.
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[75]
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
 
[74]
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
 
[73]
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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[72]
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
 
[71]
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
 
[70]
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
 
[69]
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
 
[68]
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
 
[67]
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
 
[66]
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
 
[65]
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
 
[64]
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
 
[63]
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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[62]
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
 
[61]
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
 
[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: 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
 
[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: 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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[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.
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[53]
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
 
[52]
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
 
[51]
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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[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: 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
 
[48]
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
 
[47]
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
 
[46]
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
 
[45]
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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[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 | 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
 
[41]
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
 
[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 | 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
 
[37]
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
 
[36]
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
 
[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: 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
 
[32]
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
 
[31]
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
 
[30]
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
 
[29]
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
 
[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 | 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
 
[25]
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
 
[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: 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
 
[22]
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.
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[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
View | DOI
 
[20]
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.
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[19]
2000 | Conference Paper | IST-REx-ID: 2710
Erdös L. The kernel of Dirac operators on S3 and R3. In: Vol 16. American Mathematical Society; 2000:111-119.
View
 
[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
View | DOI
 
[17]
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
 
[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: 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 | Conference Paper | IST-REx-ID: 2695
Erdös L, Yau H. Linear Boltzmann equation as scaling limit of quantum Lorentz gas. In: 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: 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
 
[10]
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
 
[9]
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
 
[8]
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
 
[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
 
[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
 
[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
 
[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
 
[3]
1992 | Journal Article | IST-REx-ID: 2722
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
View | DOI
 
[2]
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
View | DOI
 
[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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