119 Publications

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[119]
2019 | Journal Article | IST-REx-ID: 6488   OA
Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
G. Cipolloni, L. Erdös, Random Matrices: Theory and Application (2019).
View | DOI | Download (ext.) | arXiv
 
[118]
2019 | Journal Article | IST-REx-ID: 6511   OA
Local single ring theorem on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
View | DOI | Download (ext.) | arXiv
 
[117]
2019 | Journal Article | IST-REx-ID: 6240
Location of the spectrum of Kronecker random matrices
J. Alt, L. Erdös, T.H. Krüger, Y. Nemish, Annales de l’institut Henri Poincare 55 (2019) 661–696.
View | Files available | DOI | Download (ext.) | arXiv
 
[116]
2019 | Journal Article | IST-REx-ID: 6182   OA
Random matrices with slow correlation decay
L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019) e8.
View | Files available | DOI | arXiv
 
[115]
2018 | Journal Article | IST-REx-ID: 181   OA
Power law decay for systems of randomly coupled differential equations
L. Erdös, T.H. Krüger, D.T. Renfrew, SIAM Journal on Mathematical Analysis 50 (2018) 3271–3290.
View | DOI | Download (ext.) | arXiv
 
[114]
2018 | Journal Article | IST-REx-ID: 566   OA
Local inhomogeneous circular law
J. Alt, L. Erdös, T.H. Krüger, Annals Applied Probability 28 (2018) 148–203.
View | Files available | DOI | Download (ext.) | arXiv
 
[113]
2018 | Preprint | IST-REx-ID: 6185   OA
Cusp universality for random matrices I: Local law and the complex hermitian case
L. Erdös, T.H. Krüger, D.J. Schröder, ArXiv (n.d.).
View | Files available | Download (ext.) | arXiv
 
[112]
2018 | Preprint | IST-REx-ID: 6186   OA
Cusp universality for random matrices II: The real symmetric case
G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, ArXiv (n.d.).
View | Files available | Download (ext.) | arXiv
 
[111]
2018 | Journal Article | IST-REx-ID: 429   OA
Stability of the matrix Dyson equation and random matrices with correlations
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields (2018).
View | Files available | DOI
 
[110]
2018 | Journal Article | IST-REx-ID: 1012   OA
Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues
L. Erdös, D.J. Schröder, International Mathematics Research Notices 2018 (2018) 3255–3298.
View | Files available | DOI | Download (ext.) | arXiv
 
[109]
2018 | Journal Article | IST-REx-ID: 5971   OA
Bounds on the norm of Wigner-type random matrices
L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
View | DOI | Download (ext.) | arXiv
 
[108]
2018 | Preprint | IST-REx-ID: 6183
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, ArXiv:1804.07752 (n.d.).
View | Files available | Download (ext.) | arXiv
 
[107]
2018 | Preprint | IST-REx-ID: 6184
Correlated random matrices: Band rigidity and edge universality
J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, ArXiv:1804.07744 (n.d.).
View | Files available | Download (ext.) | arXiv
 
[106]
2017 | Journal Article | IST-REx-ID: 1337   OA
Universality for general Wigner-type matrices
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
View | Files available | DOI
 
[105]
2017 | Journal Article | IST-REx-ID: 1010
Local law for random Gram matrices
J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017) 25.
View | Files available | DOI | arXiv
 
[104]
2017 | Journal Article | IST-REx-ID: 1528   OA
Delocalization for a class of random block band matrices
Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
View | Files available | DOI
 
[103]
2017 | Book | IST-REx-ID: 567
A dynamical approach to random matrix theory
L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 2017.
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[102]
2017 | Journal Article | IST-REx-ID: 721   OA
Singularities of solutions to quadratic vector equations on the complex upper half plane
O.H. Ajanki, T.H. Krüger, L. Erdös, Communications on Pure and Applied Mathematics 70 (2017) 1672–1705.
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[101]
2017 | Journal Article | IST-REx-ID: 733   OA
Convergence rate for spectral distribution of addition of random matrices
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
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[100]
2017 | Journal Article | IST-REx-ID: 1207   OA
Local law of addition of random matrices on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
View | Files available | DOI
 
[99]
2017 | Journal Article | IST-REx-ID: 1144
Fluctuations of functions of Wigner matrices
L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
View | Files available | DOI
 
[98]
2017 | Journal Article | IST-REx-ID: 615   OA
Universality for random matrix flows with time dependent density
L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656.
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[97]
2017 | Journal Article | IST-REx-ID: 483   OA
Universality for a class of random band matrices
P. Bourgade, L. Erdös, H. Yau, J. Yin, Advances in Theoretical and Mathematical Physics 21 (2017) 739–800.
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[96]
2016 | Journal Article | IST-REx-ID: 1434   OA
Local stability of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
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[95]
2016 | Journal Article | IST-REx-ID: 1489   OA
Local spectral statistics of Gaussian matrices with correlated entries
O.H. Ajanki, L. Erdös, T.H. Krüger, Journal of Statistical Physics 163 (2016) 280–302.
View | Files available | DOI
 
[94]
2016 | Journal Article | IST-REx-ID: 1280   OA
Fixed energy universality for generalized wigner matrices
P. Bourgade, L. Erdös, H. Yau, J. Yin, Communications on Pure and Applied Mathematics 69 (2016) 1815–1881.
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[93]
2015 | Journal Article | IST-REx-ID: 1508   OA
Gap universality of generalized Wigner and β ensembles
L. Erdös, H. Yau, Journal of the European Mathematical Society 17 (2015) 1927–2036.
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[92]
2015 | Journal Article | IST-REx-ID: 1864   OA
The Altshuler–Shklovskii formulas for random band matrices II: The general case
L. Erdös, A. Knowles, Annales Henri Poincare 16 (2015) 709–799.
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[91]
2015 | Journal Article | IST-REx-ID: 2166   OA
The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case
L. Erdös, A. Knowles, Communications in Mathematical Physics 333 (2015) 1365–1416.
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[90]
2014 | Journal Article | IST-REx-ID: 2019   OA
Phase transition in the density of states of quantum spin glasses
L. Erdös, D.J. Schröder, Mathematical Physics, Analysis and Geometry 17 (2014) 441–464.
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[89]
2014 | Journal Article | IST-REx-ID: 2179   OA
Local semicircle law with imprimitive variance matrix
O.H. Ajanki, L. Erdös, T.H. Krüger, Electronic Communications in Probability 19 (2014).
View | Files available | DOI
 
[88]
2014 | Journal Article | IST-REx-ID: 2225   OA
Isotropic local laws for sample covariance and generalized Wigner matrices
A. Bloemendal, L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 19 (2014) 33.
View | Files available | DOI
 
[87]
2014 | Conference Paper | IST-REx-ID: 1507   OA
Random matrices, log-gases and Hölder regularity
L. Erdös, in:, Kyung Moon SA Co. Ltd., 2014, pp. 214–236.
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[86]
2014 | Journal Article | IST-REx-ID: 1937   OA
Edge universality of beta ensembles
P. Bourgade, L. Erdös, H. Yau, Communications in Mathematical Physics 332 (2014) 261–353.
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[85]
2014 | Journal Article | IST-REx-ID: 2699   OA
Universality of general β-ensembles
L. Erdös, P. Bourgade, H. Yau, Duke Mathematical Journal 163 (2014) 1127–1190.
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[84]
2013 | Journal Article | IST-REx-ID: 2780   OA
Averaging fluctuations in resolvents of random band matrices
L. Erdös, A. Knowles, H. Yau, Annales Henri Poincare 14 (2013) 1837–1926.
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[83]
2013 | Journal Article | IST-REx-ID: 2697   OA
Delocalization and diffusion profile for random band matrices
L. Erdös, A. Knowles, H. Yau, J. Yin, Communications in Mathematical Physics 323 (2013) 367–416.
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[82]
2013 | Journal Article | IST-REx-ID: 2781   OA
Spectral statistics of Erdős-Rényi graphs I: Local semicircle law
L. Erdös, A. Knowles, H. Yau, J. Yin, Annals of Probability 41 (2013) 2279–2375.
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[81]
2013 | Journal Article | IST-REx-ID: 2837   OA
The local semicircle law for a general class of random matrices
L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 18 (2013) 1–58.
View | Files available | DOI
 
[80]
2013 | Journal Article | IST-REx-ID: 2698   OA
Stability and semiclassics in self-generated fields
L. Erdös, S. Fournais, J. Solovej, Journal of the European Mathematical Society 15 (2013) 2093–2113.
View | DOI | Download (ext.) | arXiv
 
[79]
2013 | Journal Article | IST-REx-ID: 2782   OA
Local eigenvalue density for general MANOVA matrices
L. Erdös, B. Farrell, Journal of Statistical Physics 152 (2013) 1003–1032.
View | DOI | Download (ext.) | arXiv
 
[78]
2012 | Journal Article | IST-REx-ID: 2772
Second order semiclassics with self generated magnetic fields
L. Erdös, S. Fournais, J. Solovej, Annales Henri Poincare 13 (2012) 671–730.
View | DOI
 
[77]
2012 | Journal Article | IST-REx-ID: 2777
Relativistic Scott correction in self-generated magnetic fields
L. Erdös, S. Fournais, J. Solovej, Journal of Mathematical Physics 53 (2012).
View | DOI
 
[76]
2012 | Preprint | IST-REx-ID: 2696   OA View | Download (ext.)
 
[75]
2012 | Journal Article | IST-REx-ID: 2773
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices
L. Erdös, H. Yau, Electronic Journal of Probability 17 (2012).
View | DOI
 
[74]
2012 | Journal Article | IST-REx-ID: 2778
Bulk universality of general β-ensembles with non-convex potential
P. Bourgade, L. Erdös, H. Yau, Journal of Mathematical Physics 53 (2012).
View | DOI
 
[73]
2012 | Conference Paper | IST-REx-ID: 2700   OA
Lecture notes on quantum Brownian motion
L. Erdös, in:, Oxford University Press, 2012, pp. 3–98.
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[72]
2012 | Journal Article | IST-REx-ID: 2767
Bulk universality for generalized Wigner matrices
L. Erdös, H. Yau, J. Yin, Probability Theory and Related Fields 154 (2012) 341–407.
View | DOI
 
[71]
2012 | Journal Article | IST-REx-ID: 2774
Scott correction for large atoms and molecules in a self-generated magnetic field
L. Erdös, S. Fournais, J. Solovej, Communications in Mathematical Physics 312 (2012) 847–882.
View | DOI
 
[70]
2012 | Journal Article | IST-REx-ID: 2779
Wegner estimate for random magnetic Laplacian on ℤ 2
L. Erdös, D. Hasler, Annales Henri Poincare 13 (2012) 1719–1731.
View | DOI
 
[69]
2012 | Journal Article | IST-REx-ID: 2768
Wegner estimate and Anderson localization for random magnetic fields
L. Erdös, D. Hasler, Communications in Mathematical Physics 309 (2012) 507–542.
View | DOI
 
[68]
2012 | Journal Article | IST-REx-ID: 2770
Rigidity of eigenvalues of generalized Wigner matrices
L. Erdös, H. Yau, J. Yin, Advances in Mathematics 229 (2012) 1435–1515.
View | DOI
 
[67]
2012 | Journal Article | IST-REx-ID: 2775
Universality of local spectral statistics of random matrices
L. Erdös, H. Yau, Bulletin of the American Mathematical Society 49 (2012) 377–414.
View | DOI
 
[66]
2012 | Journal Article | IST-REx-ID: 2769
The local relaxation flow approach to universality of the local statistics for random matrices
L. Erdös, B. Schlein, H. Yau, J. Yin, Annales de l’institut Henri Poincare (B) Probability and Statistics 48 (2012) 1–46.
View | DOI
 
[65]
2012 | Journal Article | IST-REx-ID: 2771
Anderson localization at band edges for random magnetic fields
L. Erdös, D. Hasler, Journal of Statistical Physics 146 (2012) 900–923.
View | DOI
 
[64]
2012 | Journal Article | IST-REx-ID: 2776
Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues
L. Erdös, A. Knowles, H. Yau, J. Yin, Communications in Mathematical Physics 314 (2012) 587–640.
View | DOI
 
[63]
2011 | Book Review | IST-REx-ID: 2765
Universality of Wigner random matrices: A survey of recent results
L. Erdös, Russian Mathematical Surveys 66 (2011) 507–626.
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[62]
2011 | Journal Article | IST-REx-ID: 2766
Quantum diffusion and delocalization for band matrices with general distribution
L. Erdös, A. Knowles, Annales Henri Poincare 12 (2011) 1227–1319.
View | DOI
 
[61]
2011 | Journal Article | IST-REx-ID: 2717
Quantum diffusion and eigenfunction delocalization in a random band matrix model
L. Erdös, A. Knowles, Communications in Mathematical Physics 303 (2011) 509–554.
View | DOI
 
[60]
2011 | Journal Article | IST-REx-ID: 2764
Universality of random matrices and local relaxation flow
L. Erdös, B. Schlein, H. Yau, Inventiones Mathematicae 185 (2011) 75–119.
View | DOI
 
[59]
2010 | Journal Article | IST-REx-ID: 2704
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
L. Erdös, B. Schlein, H. Yau, Annals of Mathematics 172 (2010) 291–370.
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[58]
2010 | Journal Article | IST-REx-ID: 2761
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
L. Erdös, J. Ramírez, B. Schlein, H. Yau, Electronic Journal of Probability 15 (2010) 526–603.
View | DOI
 
[57]
2010 | Journal Article | IST-REx-ID: 2762
Bulk universality for Wigner matrices
L. Erdös, J. Ramírez, H. Yau, S. Péché, B. Schlein, Communications on Pure and Applied Mathematics 63 (2010) 895–925.
View | DOI
 
[56]
2010 | Journal Article | IST-REx-ID: 2701   OA
Wegner estimate and level repulsion for Wigner random matrices
L. Erdös, B. Schlein, H. Yau, International Mathematics Research Notices (2010) 436–479.
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[55]
2010 | Journal Article | IST-REx-ID: 2756
Ground state energy of large atoms in a self-generated magnetic field
L. Erdös, J. Solovej, Communications in Mathematical Physics 294 (2010) 229–249.
View | DOI
 
[54]
2010 | Journal Article | IST-REx-ID: 2763
Bulk universality for Wigner Hermitian matrices with subexponential decay
L. Erdös, J. Ramírez, B. Schlein, T. Tao, V. Van, H. Yau, Mathematical Research Letters 17 (2010) 667–674.
View
 
[53]
2009 | Journal Article | IST-REx-ID: 2758
Local semicircle law and complete delocalization for Wigner random matrices
L. Erdös, B. Schlein, H. Yau, Communications in Mathematical Physics 287 (2009) 641–655.
View | DOI
 
[52]
2009 | Journal Article | IST-REx-ID: 2760
Rigorous derivation of the gross-pitaevskii equation with a large interaction potential
L. Erdös, B. Schlein, H. Yau, Journal of the American Mathematical Society 22 (2009) 1099–1156.
View | DOI
 
[51]
2009 | Journal Article | IST-REx-ID: 2703
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
L. Erdös, B. Schlein, H. Yau, Annals of Probability 37 (2009) 815–852.
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[50]
2009 | Journal Article | IST-REx-ID: 2759
Dynamical formation of correlations in a Bose-Einstein condensate
L. Erdös, A. Michelangeli, B. Schlein, Communications in Mathematical Physics 289 (2009) 1171–1210.
View | DOI
 
[49]
2009 | Journal Article | IST-REx-ID: 2757
Quantum dynamics with mean field interactions: A new approach
L. Erdös, B. Schlein, Journal of Statistical Physics 134 (2009) 859–870.
View | DOI
 
[48]
2008 | Journal Article | IST-REx-ID: 2753
Quantum diffusion of the random Schrödinger evolution in the scaling limit
L. Erdös, M. Salmhofer, H. Yau, Acta Mathematica 200 (2008) 211–277.
View | DOI
 
[47]
2008 | Journal Article | IST-REx-ID: 2754
Rate of decoherence for an electron weakly coupled to a phonon gas
R. Adami, L. Erdös, Journal of Statistical Physics 132 (2008) 301–328.
View | DOI
 
[46]
2008 | Journal Article | IST-REx-ID: 2755
Ground-state energy of a low-density Bose gas: A second-order upper bound
L. Erdös, B. Schlein, H. Yau, Physical Review A - Atomic, Molecular, and Optical Physics 78 (2008).
View | DOI
 
[45]
2008 | Conference Paper | IST-REx-ID: 2702   OA
Feynman graphs and renormalization in quantum diffusion
L. Erdös, M. Salmhofer, H. Yau, in:, World Scientific Publishing, 2008, pp. 167–182.
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[44]
2007 | Book Chapter | IST-REx-ID: 2705   OA
Recent developments in quantum mechanics with magnetic fields
L. Erdös, in:, F. Gesztesy, P. Deift, P. Galvez, P. Perry, W. Schlag (Eds.), Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday , American Mathematical Society, 2007, pp. 401–428.
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[43]
2007 | Journal Article | IST-REx-ID: 2748
Rigorous derivation of the Gross-Pitaevskii equation
L. Erdös, B. Schlein, H. Yau, Physical Review Letters 98 (2007).
View | DOI
 
[42]
2007 | Journal Article | IST-REx-ID: 2750
Quantum diffusion of the random Schrödinger evolution in the scaling limit II. The recollision diagrams
L. Erdös, M. Salmhofer, H. Yau, Communications in Mathematical Physics 271 (2007) 1–53.
View | DOI
 
[41]
2007 | Book Review | IST-REx-ID: 2749
Derivation of the cubic non linear Schrödinger equation from quantum dynamics of many body systems
L. Erdös, B. Schlein, H. Yau, Inventiones Mathematicae 167 (2007) 515–614.
View | DOI
 
[40]
2007 | Journal Article | IST-REx-ID: 2751
Quantum diffusion for the Anderson model in the scaling limit
L. Erdös, M. Salmhofer, H. Yau, Annales Henri Poincare 8 (2007) 621–685.
View | DOI
 
[39]
2007 | Journal Article | IST-REx-ID: 2752
Decay of the Fourier transform of surfaces with vanishing curvature
L. Erdös, M. Salmhofer, Mathematische Zeitschrift 257 (2007) 261–294.
View | DOI
 
[38]
2006 | Conference Paper | IST-REx-ID: 2746
Towards the quantum Brownian motion
L. Erdös, M. Salmhofer, H. Yau, in:, World Scientific Publishing, 2006, pp. 233–257.
View | DOI
 
[37]
2006 | Journal Article | IST-REx-ID: 2747
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
L. Erdös, B. Schlein, H. Yau, Communications on Pure and Applied Mathematics 59 (2006) 1659–1741.
View | DOI
 
[36]
2006 | Journal Article | IST-REx-ID: 2745
Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons
A. Elgart, L. Erdös, B. Schlein, H. Yau, Archive for Rational Mechanics and Analysis 179 (2006) 265–283.
View | DOI
 
[35]
2005 | Journal Article | IST-REx-ID: 2743
Existence of the D0-D4 bound state: A detailed proof
L. Erdös, D. Hasler, J. Solovej, Annales Henri Poincare 6 (2005) 247–267.
View | DOI
 
[34]
2005 | Journal Article | IST-REx-ID: 2744
The linear Boltzmann equation as the low density limit of a random Schrödinger equation
D. Eng, L. Erdös, Reviews in Mathematical Physics 17 (2005) 669–743.
View | DOI
 
[33]
2004 | Journal Article | IST-REx-ID: 2741 View | DOI
 
[32]
2004 | Journal Article | IST-REx-ID: 2742
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
A. Elgart, L. Erdös, B. Schlein, H. Yau, Journal de Mathématiques Pures et Appliquées 83 (2004) 1241–1273.
View | DOI
 
[31]
2004 | Journal Article | IST-REx-ID: 2706
Magnetic Lieb-Thirring inequalities with optimal dependence on the field strength
L. Erdös, J. Solovej, Journal of Statistical Physics 116 (2004) 475–506.
View | DOI
 
[30]
2004 | Journal Article | IST-REx-ID: 2707
On the quantum Boltzmann equation
L. Erdös, M. Salmhofer, H. Yau, Journal of Statistical Physics 116 (2004) 367–380.
View | DOI
 
[29]
2002 | Journal Article | IST-REx-ID: 2739
Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields
L. Erdös, V. Vougalter, Communications in Mathematical Physics 225 (2002) 399–421.
View | DOI
 
[28]
2002 | Conference Paper | IST-REx-ID: 2708
Two dimensional Pauli operator via scalar potential
L. Erdös, in:, World Scientific Publishing, 2002, pp. 129–133.
View | DOI
 
[27]
2002 | Journal Article | IST-REx-ID: 2737
Derivation of the Schrödinger-Poisson equation from the quantum N-body problem
C. Bardos, L. Erdös, F. Golse, N. Mauser, H. Yau, Comptes Rendus Mathematique 334 (2002) 515–520.
View | DOI
 
[26]
2002 | Conference Paper | IST-REx-ID: 2694
Scaling limits of Schrödinger quantum mechanics
L. Erdös, in:, Springer, 2002, pp. 487–506.
View | DOI
 
[25]
2002 | Journal Article | IST-REx-ID: 2738
Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field
L. Erdös, Journal of Statistical Physics 107 (2002) 1043–1127.
View | DOI
 
[24]
2002 | Journal Article | IST-REx-ID: 2740
Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions
L. Erdös, Annales de l’Institut Fourier 52 (2002) 1833–1874+XI+VII.
View | DOI
 
[23]
2001 | Journal Article | IST-REx-ID: 2734
The kernel of Dirac operators on S3 and R3
L. Erdös, J. Solovej, Reviews in Mathematical Physics 13 (2001) 1247–1280.
View | DOI
 
[22]
2001 | Journal Article | IST-REx-ID: 2709
Long time dynamics of an electron in a weakly coupled phonon field
L. Erdös, ICMP: International Congress on Mathematical Physics (2001) 273–281.
View
 
[21]
2001 | Journal Article | IST-REx-ID: 2735
Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case
L. Erdös, Probability Theory and Related Fields 121 (2001) 219–236.
View | DOI
 
[20]
2001 | Journal Article | IST-REx-ID: 2736   OA
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
L. Erdös, H. Yau, Advances in Theoretical and Mathematical Physics 5 (2001) 1169–1205.
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[19]
2000 | Conference Paper | IST-REx-ID: 2710
The kernel of Dirac operators on S3 and R3
L. Erdös, in:, American Mathematical Society, 2000, pp. 111–119.
View
 
[18]
2000 | Journal Article | IST-REx-ID: 2731
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
L. Erdös, H. Yau, Communications on Pure and Applied Mathematics 53 (2000) 667–735.
View | DOI
 
[17]
2000 | Journal Article | IST-REx-ID: 2732
Fokker-Planck equations as scaling limits of reversible quantum systems
F. Castella, L. Erdös, F. Frommlet, P. Markowich, Journal of Statistical Physics 100 (2000) 543–601.
View | DOI
 
[16]
2000 | Journal Article | IST-REx-ID: 2733
Diamagnetic behavior of sums Dirichlet eigenvalues
L. Erdös, M. Loss, V. Vougalter, Annales de l’Institut Fourier 50 (2000) 891–907.
View | DOI
 
[15]
1999 | Conference Paper | IST-REx-ID: 2711
Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation
L. Erdös, in:, World Scientific Publishing, 1999, pp. 233–242.
View | DOI
 
[14]
1999 | Journal Article | IST-REx-ID: 2730 View | DOI
 
[13]
1998 | Conference Paper | IST-REx-ID: 2695
Linear Boltzmann equation as scaling limit of quantum Lorentz gas
L. Erdös, H. Yau, in:, American Mathematical Society, 1998, pp. 137–155.
View | DOI
 
[12]
1998 | Journal Article | IST-REx-ID: 2728
Lifschitz tail in a magnetic field: The nonclassical regime
L. Erdös, Probability Theory and Related Fields 112 (1998) 321–371.
View | DOI
 
[11]
1997 | Journal Article | IST-REx-ID: 2727
Dia- and paramagnetism for nonhomogeneous magnetic fields
L. Erdös, Journal of Mathematical Physics 38 (1997) 1289–1317.
View | DOI
 
[10]
1997 | Journal Article | IST-REx-ID: 2729 View | DOI
 
[9]
1996 | Journal Article | IST-REx-ID: 2725
Rayleigh-type isoperimetric inequality with a homogeneous magnetic field
L. Erdös, Calculus of Variations and Partial Differential Equations 4 (1996) 283–292.
View | DOI
 
[8]
1996 | Journal Article | IST-REx-ID: 2726
Gaussian decay of the magnetic eigenfunctions
L. Erdös, Geometric and Functional Analysis 6 (1996) 231–248.
View | DOI
 
[7]
1995 | Conference Paper | IST-REx-ID: 2712
Magnetic Lieb-Thirring inequalities and stochastic oscillatory integrals
L. Erdös, in:, Birkhäuser, 1995, pp. 127–132.
View | DOI
 
[6]
1995 | Journal Article | IST-REx-ID: 2724
Magnetic Lieb-Thirring inequalities
L. Erdös, Communications in Mathematical Physics 170 (1995) 629–668.
View | DOI
 
[5]
1994 | Journal Article | IST-REx-ID: 2713 View | DOI
 
[4]
1993 | Journal Article | IST-REx-ID: 2723
Ground-state density of the Pauli operator in the large field limit
L. Erdös, Letters in Mathematical Physics 29 (1993) 219–240.
View | DOI
 
[3]
1992 | Journal Article | IST-REx-ID: 2722
Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers
L. Erdös, D. Tuyen, Communications in Mathematical Physics 143 (1992) 451–466.
View | DOI
 
[2]
1992 | Journal Article | IST-REx-ID: 2714
On some problems of P. Turán concerning power sums of complex numbers
L. Erdös, Acta Mathematica Hungarica 59 (1992) 11–24.
View | DOI
 
[1]
1990 | Journal Article | IST-REx-ID: 2721
Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier
L. Erdös, D. Tuyen, Journal of Statistical Physics 59 (1990) 1589–1602.
View | DOI
 

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[119]
2019 | Journal Article | IST-REx-ID: 6488   OA
Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices
G. Cipolloni, L. Erdös, Random Matrices: Theory and Application (2019).
View | DOI | Download (ext.) | arXiv
 
[118]
2019 | Journal Article | IST-REx-ID: 6511   OA
Local single ring theorem on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Annals of Probability 47 (2019) 1270–1334.
View | DOI | Download (ext.) | arXiv
 
[117]
2019 | Journal Article | IST-REx-ID: 6240
Location of the spectrum of Kronecker random matrices
J. Alt, L. Erdös, T.H. Krüger, Y. Nemish, Annales de l’institut Henri Poincare 55 (2019) 661–696.
View | Files available | DOI | Download (ext.) | arXiv
 
[116]
2019 | Journal Article | IST-REx-ID: 6182   OA
Random matrices with slow correlation decay
L. Erdös, T.H. Krüger, D.J. Schröder, Forum of Mathematics, Sigma 7 (2019) e8.
View | Files available | DOI | arXiv
 
[115]
2018 | Journal Article | IST-REx-ID: 181   OA
Power law decay for systems of randomly coupled differential equations
L. Erdös, T.H. Krüger, D.T. Renfrew, SIAM Journal on Mathematical Analysis 50 (2018) 3271–3290.
View | DOI | Download (ext.) | arXiv
 
[114]
2018 | Journal Article | IST-REx-ID: 566   OA
Local inhomogeneous circular law
J. Alt, L. Erdös, T.H. Krüger, Annals Applied Probability 28 (2018) 148–203.
View | Files available | DOI | Download (ext.) | arXiv
 
[113]
2018 | Preprint | IST-REx-ID: 6185   OA
Cusp universality for random matrices I: Local law and the complex hermitian case
L. Erdös, T.H. Krüger, D.J. Schröder, ArXiv (n.d.).
View | Files available | Download (ext.) | arXiv
 
[112]
2018 | Preprint | IST-REx-ID: 6186   OA
Cusp universality for random matrices II: The real symmetric case
G. Cipolloni, L. Erdös, T.H. Krüger, D.J. Schröder, ArXiv (n.d.).
View | Files available | Download (ext.) | arXiv
 
[111]
2018 | Journal Article | IST-REx-ID: 429   OA
Stability of the matrix Dyson equation and random matrices with correlations
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields (2018).
View | Files available | DOI
 
[110]
2018 | Journal Article | IST-REx-ID: 1012   OA
Fluctuations of rectangular young diagrams of interlacing wigner eigenvalues
L. Erdös, D.J. Schröder, International Mathematics Research Notices 2018 (2018) 3255–3298.
View | Files available | DOI | Download (ext.) | arXiv
 
[109]
2018 | Journal Article | IST-REx-ID: 5971   OA
Bounds on the norm of Wigner-type random matrices
L. Erdös, P. Mühlbacher, Random Matrices: Theory and Applications (2018).
View | DOI | Download (ext.) | arXiv
 
[108]
2018 | Preprint | IST-REx-ID: 6183
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, ArXiv:1804.07752 (n.d.).
View | Files available | Download (ext.) | arXiv
 
[107]
2018 | Preprint | IST-REx-ID: 6184
Correlated random matrices: Band rigidity and edge universality
J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, ArXiv:1804.07744 (n.d.).
View | Files available | Download (ext.) | arXiv
 
[106]
2017 | Journal Article | IST-REx-ID: 1337   OA
Universality for general Wigner-type matrices
O.H. Ajanki, L. Erdös, T.H. Krüger, Probability Theory and Related Fields 169 (2017) 667–727.
View | Files available | DOI
 
[105]
2017 | Journal Article | IST-REx-ID: 1010
Local law for random Gram matrices
J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017) 25.
View | Files available | DOI | arXiv
 
[104]
2017 | Journal Article | IST-REx-ID: 1528   OA
Delocalization for a class of random block band matrices
Z. Bao, L. Erdös, Probability Theory and Related Fields 167 (2017) 673–776.
View | Files available | DOI
 
[103]
2017 | Book | IST-REx-ID: 567
A dynamical approach to random matrix theory
L. Erdös, H. Yau, A Dynamical Approach to Random Matrix Theory, American Mathematical Society, 2017.
View
 
[102]
2017 | Journal Article | IST-REx-ID: 721   OA
Singularities of solutions to quadratic vector equations on the complex upper half plane
O.H. Ajanki, T.H. Krüger, L. Erdös, Communications on Pure and Applied Mathematics 70 (2017) 1672–1705.
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[101]
2017 | Journal Article | IST-REx-ID: 733   OA
Convergence rate for spectral distribution of addition of random matrices
Z. Bao, L. Erdös, K. Schnelli, Advances in Mathematics 319 (2017) 251–291.
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[100]
2017 | Journal Article | IST-REx-ID: 1207   OA
Local law of addition of random matrices on optimal scale
Z. Bao, L. Erdös, K. Schnelli, Communications in Mathematical Physics 349 (2017) 947–990.
View | Files available | DOI
 
[99]
2017 | Journal Article | IST-REx-ID: 1144
Fluctuations of functions of Wigner matrices
L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
View | Files available | DOI
 
[98]
2017 | Journal Article | IST-REx-ID: 615   OA
Universality for random matrix flows with time dependent density
L. Erdös, K. Schnelli, Annales de l’institut Henri Poincare (B) Probability and Statistics 53 (2017) 1606–1656.
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[97]
2017 | Journal Article | IST-REx-ID: 483   OA
Universality for a class of random band matrices
P. Bourgade, L. Erdös, H. Yau, J. Yin, Advances in Theoretical and Mathematical Physics 21 (2017) 739–800.
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[96]
2016 | Journal Article | IST-REx-ID: 1434   OA
Local stability of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 271 (2016) 672–719.
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[95]
2016 | Journal Article | IST-REx-ID: 1489   OA
Local spectral statistics of Gaussian matrices with correlated entries
O.H. Ajanki, L. Erdös, T.H. Krüger, Journal of Statistical Physics 163 (2016) 280–302.
View | Files available | DOI
 
[94]
2016 | Journal Article | IST-REx-ID: 1280   OA
Fixed energy universality for generalized wigner matrices
P. Bourgade, L. Erdös, H. Yau, J. Yin, Communications on Pure and Applied Mathematics 69 (2016) 1815–1881.
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[93]
2015 | Journal Article | IST-REx-ID: 1508   OA
Gap universality of generalized Wigner and β ensembles
L. Erdös, H. Yau, Journal of the European Mathematical Society 17 (2015) 1927–2036.
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[92]
2015 | Journal Article | IST-REx-ID: 1864   OA
The Altshuler–Shklovskii formulas for random band matrices II: The general case
L. Erdös, A. Knowles, Annales Henri Poincare 16 (2015) 709–799.
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[91]
2015 | Journal Article | IST-REx-ID: 2166   OA
The Altshuler-Shklovskii formulas for random band matrices I: the unimodular case
L. Erdös, A. Knowles, Communications in Mathematical Physics 333 (2015) 1365–1416.
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[90]
2014 | Journal Article | IST-REx-ID: 2019   OA
Phase transition in the density of states of quantum spin glasses
L. Erdös, D.J. Schröder, Mathematical Physics, Analysis and Geometry 17 (2014) 441–464.
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[89]
2014 | Journal Article | IST-REx-ID: 2179   OA
Local semicircle law with imprimitive variance matrix
O.H. Ajanki, L. Erdös, T.H. Krüger, Electronic Communications in Probability 19 (2014).
View | Files available | DOI
 
[88]
2014 | Journal Article | IST-REx-ID: 2225   OA
Isotropic local laws for sample covariance and generalized Wigner matrices
A. Bloemendal, L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 19 (2014) 33.
View | Files available | DOI
 
[87]
2014 | Conference Paper | IST-REx-ID: 1507   OA
Random matrices, log-gases and Hölder regularity
L. Erdös, in:, Kyung Moon SA Co. Ltd., 2014, pp. 214–236.
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[86]
2014 | Journal Article | IST-REx-ID: 1937   OA
Edge universality of beta ensembles
P. Bourgade, L. Erdös, H. Yau, Communications in Mathematical Physics 332 (2014) 261–353.
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[85]
2014 | Journal Article | IST-REx-ID: 2699   OA
Universality of general β-ensembles
L. Erdös, P. Bourgade, H. Yau, Duke Mathematical Journal 163 (2014) 1127–1190.
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[84]
2013 | Journal Article | IST-REx-ID: 2780   OA
Averaging fluctuations in resolvents of random band matrices
L. Erdös, A. Knowles, H. Yau, Annales Henri Poincare 14 (2013) 1837–1926.
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[83]
2013 | Journal Article | IST-REx-ID: 2697   OA
Delocalization and diffusion profile for random band matrices
L. Erdös, A. Knowles, H. Yau, J. Yin, Communications in Mathematical Physics 323 (2013) 367–416.
View | DOI | Download (ext.)
 
[82]
2013 | Journal Article | IST-REx-ID: 2781   OA
Spectral statistics of Erdős-Rényi graphs I: Local semicircle law
L. Erdös, A. Knowles, H. Yau, J. Yin, Annals of Probability 41 (2013) 2279–2375.
View | DOI | Download (ext.)
 
[81]
2013 | Journal Article | IST-REx-ID: 2837   OA
The local semicircle law for a general class of random matrices
L. Erdös, A. Knowles, H. Yau, J. Yin, Electronic Journal of Probability 18 (2013) 1–58.
View | Files available | DOI
 
[80]
2013 | Journal Article | IST-REx-ID: 2698   OA
Stability and semiclassics in self-generated fields
L. Erdös, S. Fournais, J. Solovej, Journal of the European Mathematical Society 15 (2013) 2093–2113.
View | DOI | Download (ext.) | arXiv
 
[79]
2013 | Journal Article | IST-REx-ID: 2782   OA
Local eigenvalue density for general MANOVA matrices
L. Erdös, B. Farrell, Journal of Statistical Physics 152 (2013) 1003–1032.
View | DOI | Download (ext.) | arXiv
 
[78]
2012 | Journal Article | IST-REx-ID: 2772
Second order semiclassics with self generated magnetic fields
L. Erdös, S. Fournais, J. Solovej, Annales Henri Poincare 13 (2012) 671–730.
View | DOI
 
[77]
2012 | Journal Article | IST-REx-ID: 2777
Relativistic Scott correction in self-generated magnetic fields
L. Erdös, S. Fournais, J. Solovej, Journal of Mathematical Physics 53 (2012).
View | DOI
 
[76]
2012 | Preprint | IST-REx-ID: 2696   OA View | Download (ext.)
 
[75]
2012 | Journal Article | IST-REx-ID: 2773
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices
L. Erdös, H. Yau, Electronic Journal of Probability 17 (2012).
View | DOI
 
[74]
2012 | Journal Article | IST-REx-ID: 2778
Bulk universality of general β-ensembles with non-convex potential
P. Bourgade, L. Erdös, H. Yau, Journal of Mathematical Physics 53 (2012).
View | DOI
 
[73]
2012 | Conference Paper | IST-REx-ID: 2700   OA
Lecture notes on quantum Brownian motion
L. Erdös, in:, Oxford University Press, 2012, pp. 3–98.
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[72]
2012 | Journal Article | IST-REx-ID: 2767
Bulk universality for generalized Wigner matrices
L. Erdös, H. Yau, J. Yin, Probability Theory and Related Fields 154 (2012) 341–407.
View | DOI
 
[71]
2012 | Journal Article | IST-REx-ID: 2774
Scott correction for large atoms and molecules in a self-generated magnetic field
L. Erdös, S. Fournais, J. Solovej, Communications in Mathematical Physics 312 (2012) 847–882.
View | DOI
 
[70]
2012 | Journal Article | IST-REx-ID: 2779
Wegner estimate for random magnetic Laplacian on ℤ 2
L. Erdös, D. Hasler, Annales Henri Poincare 13 (2012) 1719–1731.
View | DOI
 
[69]
2012 | Journal Article | IST-REx-ID: 2768
Wegner estimate and Anderson localization for random magnetic fields
L. Erdös, D. Hasler, Communications in Mathematical Physics 309 (2012) 507–542.
View | DOI
 
[68]
2012 | Journal Article | IST-REx-ID: 2770
Rigidity of eigenvalues of generalized Wigner matrices
L. Erdös, H. Yau, J. Yin, Advances in Mathematics 229 (2012) 1435–1515.
View | DOI
 
[67]
2012 | Journal Article | IST-REx-ID: 2775
Universality of local spectral statistics of random matrices
L. Erdös, H. Yau, Bulletin of the American Mathematical Society 49 (2012) 377–414.
View | DOI
 
[66]
2012 | Journal Article | IST-REx-ID: 2769
The local relaxation flow approach to universality of the local statistics for random matrices
L. Erdös, B. Schlein, H. Yau, J. Yin, Annales de l’institut Henri Poincare (B) Probability and Statistics 48 (2012) 1–46.
View | DOI
 
[65]
2012 | Journal Article | IST-REx-ID: 2771
Anderson localization at band edges for random magnetic fields
L. Erdös, D. Hasler, Journal of Statistical Physics 146 (2012) 900–923.
View | DOI
 
[64]
2012 | Journal Article | IST-REx-ID: 2776
Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues
L. Erdös, A. Knowles, H. Yau, J. Yin, Communications in Mathematical Physics 314 (2012) 587–640.
View | DOI
 
[63]
2011 | Book Review | IST-REx-ID: 2765
Universality of Wigner random matrices: A survey of recent results
L. Erdös, Russian Mathematical Surveys 66 (2011) 507–626.
View | DOI | Download (ext.)
 
[62]
2011 | Journal Article | IST-REx-ID: 2766
Quantum diffusion and delocalization for band matrices with general distribution
L. Erdös, A. Knowles, Annales Henri Poincare 12 (2011) 1227–1319.
View | DOI
 
[61]
2011 | Journal Article | IST-REx-ID: 2717
Quantum diffusion and eigenfunction delocalization in a random band matrix model
L. Erdös, A. Knowles, Communications in Mathematical Physics 303 (2011) 509–554.
View | DOI
 
[60]
2011 | Journal Article | IST-REx-ID: 2764
Universality of random matrices and local relaxation flow
L. Erdös, B. Schlein, H. Yau, Inventiones Mathematicae 185 (2011) 75–119.
View | DOI
 
[59]
2010 | Journal Article | IST-REx-ID: 2704
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
L. Erdös, B. Schlein, H. Yau, Annals of Mathematics 172 (2010) 291–370.
View | DOI | Download (ext.)
 
[58]
2010 | Journal Article | IST-REx-ID: 2761
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
L. Erdös, J. Ramírez, B. Schlein, H. Yau, Electronic Journal of Probability 15 (2010) 526–603.
View | DOI
 
[57]
2010 | Journal Article | IST-REx-ID: 2762
Bulk universality for Wigner matrices
L. Erdös, J. Ramírez, H. Yau, S. Péché, B. Schlein, Communications on Pure and Applied Mathematics 63 (2010) 895–925.
View | DOI
 
[56]
2010 | Journal Article | IST-REx-ID: 2701   OA
Wegner estimate and level repulsion for Wigner random matrices
L. Erdös, B. Schlein, H. Yau, International Mathematics Research Notices (2010) 436–479.
View | DOI | Download (ext.)
 
[55]
2010 | Journal Article | IST-REx-ID: 2756
Ground state energy of large atoms in a self-generated magnetic field
L. Erdös, J. Solovej, Communications in Mathematical Physics 294 (2010) 229–249.
View | DOI
 
[54]
2010 | Journal Article | IST-REx-ID: 2763
Bulk universality for Wigner Hermitian matrices with subexponential decay
L. Erdös, J. Ramírez, B. Schlein, T. Tao, V. Van, H. Yau, Mathematical Research Letters 17 (2010) 667–674.
View
 
[53]
2009 | Journal Article | IST-REx-ID: 2758
Local semicircle law and complete delocalization for Wigner random matrices
L. Erdös, B. Schlein, H. Yau, Communications in Mathematical Physics 287 (2009) 641–655.
View | DOI
 
[52]
2009 | Journal Article | IST-REx-ID: 2760
Rigorous derivation of the gross-pitaevskii equation with a large interaction potential
L. Erdös, B. Schlein, H. Yau, Journal of the American Mathematical Society 22 (2009) 1099–1156.
View | DOI
 
[51]
2009 | Journal Article | IST-REx-ID: 2703
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
L. Erdös, B. Schlein, H. Yau, Annals of Probability 37 (2009) 815–852.
View | DOI | Download (ext.)
 
[50]
2009 | Journal Article | IST-REx-ID: 2759
Dynamical formation of correlations in a Bose-Einstein condensate
L. Erdös, A. Michelangeli, B. Schlein, Communications in Mathematical Physics 289 (2009) 1171–1210.
View | DOI
 
[49]
2009 | Journal Article | IST-REx-ID: 2757
Quantum dynamics with mean field interactions: A new approach
L. Erdös, B. Schlein, Journal of Statistical Physics 134 (2009) 859–870.
View | DOI
 
[48]
2008 | Journal Article | IST-REx-ID: 2753
Quantum diffusion of the random Schrödinger evolution in the scaling limit
L. Erdös, M. Salmhofer, H. Yau, Acta Mathematica 200 (2008) 211–277.
View | DOI
 
[47]
2008 | Journal Article | IST-REx-ID: 2754
Rate of decoherence for an electron weakly coupled to a phonon gas
R. Adami, L. Erdös, Journal of Statistical Physics 132 (2008) 301–328.
View | DOI
 
[46]
2008 | Journal Article | IST-REx-ID: 2755
Ground-state energy of a low-density Bose gas: A second-order upper bound
L. Erdös, B. Schlein, H. Yau, Physical Review A - Atomic, Molecular, and Optical Physics 78 (2008).
View | DOI
 
[45]
2008 | Conference Paper | IST-REx-ID: 2702   OA
Feynman graphs and renormalization in quantum diffusion
L. Erdös, M. Salmhofer, H. Yau, in:, World Scientific Publishing, 2008, pp. 167–182.
View | DOI | Download (ext.)
 
[44]
2007 | Book Chapter | IST-REx-ID: 2705   OA
Recent developments in quantum mechanics with magnetic fields
L. Erdös, in:, F. Gesztesy, P. Deift, P. Galvez, P. Perry, W. Schlag (Eds.), Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday , American Mathematical Society, 2007, pp. 401–428.
View | Download (ext.)
 
[43]
2007 | Journal Article | IST-REx-ID: 2748
Rigorous derivation of the Gross-Pitaevskii equation
L. Erdös, B. Schlein, H. Yau, Physical Review Letters 98 (2007).
View | DOI
 
[42]
2007 | Journal Article | IST-REx-ID: 2750
Quantum diffusion of the random Schrödinger evolution in the scaling limit II. The recollision diagrams
L. Erdös, M. Salmhofer, H. Yau, Communications in Mathematical Physics 271 (2007) 1–53.
View | DOI
 
[41]
2007 | Book Review | IST-REx-ID: 2749
Derivation of the cubic non linear Schrödinger equation from quantum dynamics of many body systems
L. Erdös, B. Schlein, H. Yau, Inventiones Mathematicae 167 (2007) 515–614.
View | DOI
 
[40]
2007 | Journal Article | IST-REx-ID: 2751
Quantum diffusion for the Anderson model in the scaling limit
L. Erdös, M. Salmhofer, H. Yau, Annales Henri Poincare 8 (2007) 621–685.
View | DOI
 
[39]
2007 | Journal Article | IST-REx-ID: 2752
Decay of the Fourier transform of surfaces with vanishing curvature
L. Erdös, M. Salmhofer, Mathematische Zeitschrift 257 (2007) 261–294.
View | DOI
 
[38]
2006 | Conference Paper | IST-REx-ID: 2746
Towards the quantum Brownian motion
L. Erdös, M. Salmhofer, H. Yau, in:, World Scientific Publishing, 2006, pp. 233–257.
View | DOI
 
[37]
2006 | Journal Article | IST-REx-ID: 2747
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
L. Erdös, B. Schlein, H. Yau, Communications on Pure and Applied Mathematics 59 (2006) 1659–1741.
View | DOI
 
[36]
2006 | Journal Article | IST-REx-ID: 2745
Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons
A. Elgart, L. Erdös, B. Schlein, H. Yau, Archive for Rational Mechanics and Analysis 179 (2006) 265–283.
View | DOI
 
[35]
2005 | Journal Article | IST-REx-ID: 2743
Existence of the D0-D4 bound state: A detailed proof
L. Erdös, D. Hasler, J. Solovej, Annales Henri Poincare 6 (2005) 247–267.
View | DOI
 
[34]
2005 | Journal Article | IST-REx-ID: 2744
The linear Boltzmann equation as the low density limit of a random Schrödinger equation
D. Eng, L. Erdös, Reviews in Mathematical Physics 17 (2005) 669–743.
View | DOI
 
[33]
2004 | Journal Article | IST-REx-ID: 2741 View | DOI
 
[32]
2004 | Journal Article | IST-REx-ID: 2742
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions
A. Elgart, L. Erdös, B. Schlein, H. Yau, Journal de Mathématiques Pures et Appliquées 83 (2004) 1241–1273.
View | DOI
 
[31]
2004 | Journal Article | IST-REx-ID: 2706
Magnetic Lieb-Thirring inequalities with optimal dependence on the field strength
L. Erdös, J. Solovej, Journal of Statistical Physics 116 (2004) 475–506.
View | DOI
 
[30]
2004 | Journal Article | IST-REx-ID: 2707
On the quantum Boltzmann equation
L. Erdös, M. Salmhofer, H. Yau, Journal of Statistical Physics 116 (2004) 367–380.
View | DOI
 
[29]
2002 | Journal Article | IST-REx-ID: 2739
Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields
L. Erdös, V. Vougalter, Communications in Mathematical Physics 225 (2002) 399–421.
View | DOI
 
[28]
2002 | Conference Paper | IST-REx-ID: 2708
Two dimensional Pauli operator via scalar potential
L. Erdös, in:, World Scientific Publishing, 2002, pp. 129–133.
View | DOI
 
[27]
2002 | Journal Article | IST-REx-ID: 2737
Derivation of the Schrödinger-Poisson equation from the quantum N-body problem
C. Bardos, L. Erdös, F. Golse, N. Mauser, H. Yau, Comptes Rendus Mathematique 334 (2002) 515–520.
View | DOI
 
[26]
2002 | Conference Paper | IST-REx-ID: 2694
Scaling limits of Schrödinger quantum mechanics
L. Erdös, in:, Springer, 2002, pp. 487–506.
View | DOI
 
[25]
2002 | Journal Article | IST-REx-ID: 2738
Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field
L. Erdös, Journal of Statistical Physics 107 (2002) 1043–1127.
View | DOI
 
[24]
2002 | Journal Article | IST-REx-ID: 2740
Spectral shift and multiplicity of the first eigenvalue of the magnetic Schrödinger operator in two dimensions
L. Erdös, Annales de l’Institut Fourier 52 (2002) 1833–1874+XI+VII.
View | DOI
 
[23]
2001 | Journal Article | IST-REx-ID: 2734
The kernel of Dirac operators on S3 and R3
L. Erdös, J. Solovej, Reviews in Mathematical Physics 13 (2001) 1247–1280.
View | DOI
 
[22]
2001 | Journal Article | IST-REx-ID: 2709
Long time dynamics of an electron in a weakly coupled phonon field
L. Erdös, ICMP: International Congress on Mathematical Physics (2001) 273–281.
View
 
[21]
2001 | Journal Article | IST-REx-ID: 2735
Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case
L. Erdös, Probability Theory and Related Fields 121 (2001) 219–236.
View | DOI
 
[20]
2001 | Journal Article | IST-REx-ID: 2736   OA
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
L. Erdös, H. Yau, Advances in Theoretical and Mathematical Physics 5 (2001) 1169–1205.
View | Download (ext.)
 
[19]
2000 | Conference Paper | IST-REx-ID: 2710
The kernel of Dirac operators on S3 and R3
L. Erdös, in:, American Mathematical Society, 2000, pp. 111–119.
View
 
[18]
2000 | Journal Article | IST-REx-ID: 2731
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
L. Erdös, H. Yau, Communications on Pure and Applied Mathematics 53 (2000) 667–735.
View | DOI
 
[17]
2000 | Journal Article | IST-REx-ID: 2732
Fokker-Planck equations as scaling limits of reversible quantum systems
F. Castella, L. Erdös, F. Frommlet, P. Markowich, Journal of Statistical Physics 100 (2000) 543–601.
View | DOI
 
[16]
2000 | Journal Article | IST-REx-ID: 2733
Diamagnetic behavior of sums Dirichlet eigenvalues
L. Erdös, M. Loss, V. Vougalter, Annales de l’Institut Fourier 50 (2000) 891–907.
View | DOI
 
[15]
1999 | Conference Paper | IST-REx-ID: 2711
Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation
L. Erdös, in:, World Scientific Publishing, 1999, pp. 233–242.
View | DOI
 
[14]
1999 | Journal Article | IST-REx-ID: 2730 View | DOI
 
[13]
1998 | Conference Paper | IST-REx-ID: 2695
Linear Boltzmann equation as scaling limit of quantum Lorentz gas
L. Erdös, H. Yau, in:, American Mathematical Society, 1998, pp. 137–155.
View | DOI
 
[12]
1998 | Journal Article | IST-REx-ID: 2728
Lifschitz tail in a magnetic field: The nonclassical regime
L. Erdös, Probability Theory and Related Fields 112 (1998) 321–371.
View | DOI
 
[11]
1997 | Journal Article | IST-REx-ID: 2727
Dia- and paramagnetism for nonhomogeneous magnetic fields
L. Erdös, Journal of Mathematical Physics 38 (1997) 1289–1317.
View | DOI
 
[10]
1997 | Journal Article | IST-REx-ID: 2729 View | DOI
 
[9]
1996 | Journal Article | IST-REx-ID: 2725
Rayleigh-type isoperimetric inequality with a homogeneous magnetic field
L. Erdös, Calculus of Variations and Partial Differential Equations 4 (1996) 283–292.
View | DOI
 
[8]
1996 | Journal Article | IST-REx-ID: 2726
Gaussian decay of the magnetic eigenfunctions
L. Erdös, Geometric and Functional Analysis 6 (1996) 231–248.
View | DOI
 
[7]
1995 | Conference Paper | IST-REx-ID: 2712
Magnetic Lieb-Thirring inequalities and stochastic oscillatory integrals
L. Erdös, in:, Birkhäuser, 1995, pp. 127–132.
View | DOI
 
[6]
1995 | Journal Article | IST-REx-ID: 2724
Magnetic Lieb-Thirring inequalities
L. Erdös, Communications in Mathematical Physics 170 (1995) 629–668.
View | DOI
 
[5]
1994 | Journal Article | IST-REx-ID: 2713 View | DOI
 
[4]
1993 | Journal Article | IST-REx-ID: 2723
Ground-state density of the Pauli operator in the large field limit
L. Erdös, Letters in Mathematical Physics 29 (1993) 219–240.
View | DOI
 
[3]
1992 | Journal Article | IST-REx-ID: 2722
Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers
L. Erdös, D. Tuyen, Communications in Mathematical Physics 143 (1992) 451–466.
View | DOI
 
[2]
1992 | Journal Article | IST-REx-ID: 2714
On some problems of P. Turán concerning power sums of complex numbers
L. Erdös, Acta Mathematica Hungarica 59 (1992) 11–24.
View | DOI
 
[1]
1990 | Journal Article | IST-REx-ID: 2721
Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier
L. Erdös, D. Tuyen, Journal of Statistical Physics 59 (1990) 1589–1602.
View | DOI
 

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