## Erdős, László

Compute Distance To:
 Author ID: erdos.laszlo Published as: Erdős, László; Erdös, László; Erdős, Laszlo; Erdos, László; Erdos, Laszlo; Erdös, Laszlo; Erdős, Lászlo; Erdös, L.; Erdős, L. more...less Homepage: http://www.mathematik.uni-muenchen.de/~lerdos/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr
 Documents Indexed: 134 Publications since 1990, including 2 Books 1 Contribution as Editor Co-Authors: 46 Co-Authors with 111 Joint Publications 1,244 Co-Co-Authors
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### Co-Authors

 22 single-authored 41 Yau, Horng-Tzer 17 Krüger, Torben 16 Schlein, Benjamin 14 Schröder, Dominik 12 Solovej, Jan Philip 11 Yin, Jun 10 Knowles, Antti 9 Cipolloni, Giorgio 8 Bao, Zhigang 8 Schnelli, Kevin 6 Ajanki, Oskari Heikki 6 Salmhofer, Manfred 5 Alt, Johannes 5 Bourgade, Paul 4 Fournais, Søren 4 Hasler, David G. 3 Nemish, Yuriĭ Nikolaevich 3 Ramírez González, José A. 3 Vougalter, Vitali 2 Elgart, Alexander 2 Seiringer, Robert 1 Adami, Riccardo 1 Alex, Bloemendal 1 Bardos, Claude Williams 1 Barton, Nick H. 1 Castella, François 1 Edelsbrunner, Herbert 1 Eng, David 1 Farrell, Brendan 1 Frommlet, Florian 1 Golse, François 1 Götze, Friedrich 1 Guionnet, Alice 1 Hausel, Tamás 1 Loss, Michael 1 Maas, Jan 1 Markovich, Peter A. 1 Mauser, Norbert Julius 1 Michelangeli, Alessandro 1 Mühlbacher, Peter 1 Péché, Sandrine 1 Renfrew, David 1 Tao, Terence 1 Uhler, Caroline 1 Vu, Van H. 1 Wagner, Uli
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### Serials

 18 Communications in Mathematical Physics 10 Journal of Statistical Physics 9 Annales Henri Poincaré 7 Probability Theory and Related Fields 6 Electronic Journal of Probability 5 Communications on Pure and Applied Mathematics 5 The Annals of Probability 4 Journal of Functional Analysis 3 Journal of Mathematical Physics 3 Duke Mathematical Journal 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Inventiones Mathematicae 2 IMRN. International Mathematics Research Notices 2 Electronic Communications in Probability 2 Advances in Theoretical and Mathematical Physics 2 Journal of the European Mathematical Society (JEMS) 2 Random Matrices: Theory and Applications 2 Forum of Mathematics, Sigma 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Russian Mathematical Surveys 1 Acta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Acta Mathematica Hungarica 1 Internationale Mathematische Nachrichten 1 Journal of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 The Annals of Applied Probability 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 Courant Lecture Notes in Mathematics 1 Journal of Combinatorics 1 Pure and Applied Analysis 1 Probability and Mathematical Physics
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### Fields

 75 Probability theory and stochastic processes (60-XX) 65 Linear and multilinear algebra; matrix theory (15-XX) 54 Statistical mechanics, structure of matter (82-XX) 44 Quantum theory (81-XX) 20 Partial differential equations (35-XX) 10 Functional analysis (46-XX) 10 Operator theory (47-XX) 6 Global analysis, analysis on manifolds (58-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

122 Publications have been cited 3,141 times in 1,029 Documents Cited by Year
Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017
Erdős, László; Yau, Horng-Tzer; Yin, Jun
2012
Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems. Zbl 1123.35066
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2007
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Zbl 1204.82028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2010
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Zbl 1014.81063
Erdős, László; Yau, Horng-Tzer
2001
Bulk universality for generalized Wigner matrices. Zbl 1277.15026
Erdős, László; Yau, Horng-Tzer; Yin, Jun
2012
Local semicircle law and complete delocalization for Wigner random matrices. Zbl 1186.60005
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2009
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2009
Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2013
Universality of random matrices and local relaxation flow. Zbl 1225.15033
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2011
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Zbl 1122.82018
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2006
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Zbl 1028.82010
Erdős, László; Yau, Horng-Tzer
2000
Bulk universality for Wigner matrices. Zbl 1216.15025
Erdös, László; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
2010
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. Zbl 1207.82031
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2009
Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues. Zbl 1251.05162
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2012
The local semicircle law for a general class of random matrices. Zbl 1373.15053
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2013
Wegner estimate and level repulsion for Wigner random matrices. Zbl 1204.15043
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2010
Edge universality of beta ensembles. Zbl 1306.82010
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
2014
The local relaxation flow approach to universality of the local statistics for random matrices. Zbl 1285.82029
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer; Yin, Jun
2012
Universality of general $$\beta$$-ensembles. Zbl 1298.15040
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
2014
Universality for generalized Wigner matrices with Bernoulli distribution. Zbl 1235.15029
Erdős, László; Yau, Horng-Tzer; Yin, Jun
2011
Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. Zbl 1086.81035
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2006
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Zbl 1059.81190
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2004
A dynamical approach to random matrix theory. Zbl 1379.15003
Erdős, László; Yau, Horng-Tzer
2017
Isotropic local laws for sample covariance and generalized Wigner matrices. Zbl 1288.15044
Alex, Bloemendal; Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2014
Derivation of the Schrödinger-Poisson equation from the quantum $$N$$-body problem. Zbl 1018.81009
Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer
2002
Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027
Erdős, László; Ramírez, José; Schlein, Benjamin; Tao, Terence; Vu, Van; Yau, Horng-Tzer
2010
Universality of local spectral statistics of random matrices. Zbl 1263.15032
Erdős, László; Yau, Horng-Tzer
2012
Fixed energy universality for generalized Wigner matrices. Zbl 1354.15025
Bourgade, Paul; Erdős, Laszlo; Yau, Horng-Tzer; Yin, Jun
2016
Delocalization and diffusion profile for random band matrices. Zbl 1279.15027
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2013
Averaging fluctuations in resolvents of random band matrices. Zbl 1296.15020
Erdős, László; Knowles, Antti; Yau, Horng-Tzer
2013
Quantum diffusion and eigenfunction delocalization in a random band matrix model. Zbl 1226.15024
Erdős, László; Knowles, Antti
2011
Universality for general Wigner-type matrices. Zbl 1403.60010
Ajanki, Oskari H.; Erdős, László; Krüger, Torben
2017
Bulk universality of general {$$\beta$$}-ensembles with non-convex potential. Zbl 1278.82032
Bourgade, Paul; Erdos, László; Yau, Horng-Tzer
2012
Universality of Wigner random matrices: a survey of recent results. Zbl 1230.82032
Erdős, Laszlo
2011
Quantum diffusion of the random Schrödinger evolution in the scaling limit. Zbl 1155.82015
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2008
Quantum diffusion of the random Schrödinger evolution in the scaling limit. II: The recollision diagrams. Zbl 1205.82123
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2007
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Zbl 1225.15034
Erdős, László; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
2010
On the quantum Boltzmann equation. Zbl 1142.82346
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2004
Gap universality of generalized Wigner and $$\beta$$-ensembles. Zbl 1333.15031
Erdős, László; Yau, Horng-Tzer
2015
The kernel of Dirac operators on $$\mathbb S^{3}$$ and $$\mathbb R^{3}$$. Zbl 1064.58027
Erdős, László; Solovej, Jan Philip
2001
Universality for a class of random band matrices. Zbl 1381.15029
Bourgade, Paul; Erdos, Laszlo; Yau, Horng-Tzer; Yin, Jun
2017
Singularities of solutions to quadratic vector equations on the complex upper half-plane. Zbl 1419.15014
Ajanki, Oskari; Krüger, Torben; Erdős, László
2017
Universality for random matrix flows with time-dependent density. Zbl 1387.60011
Erdős, László; Schnelli, Kevin
2017
Random matrices with slow correlation decay. Zbl 1422.60014
Erdos, László; Krüger, Torben; Schröder, Dominik
2019
Fokker-Planck equations as scaling limits of reversible quantum systems. Zbl 0988.82038
Castella, Francois; Erdős, László; Frommlet, Florian; Markovich, Peter A.
2000
Quantum diffusion and delocalization for band matrices with general distribution. Zbl 1247.15033
Erdős, László; Knowles, Antti
2011
Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields. II: Leading order asymptotic estimates. Zbl 0909.47052
Erdős, László; Solovej, Jan Philip
1997
Quantum dynamics with mean field interactions: a new approach. Zbl 1173.82016
Erdős, László; Schlein, Benjamin
2009
Rayleigh-type isoperimetric inequality with a homogeneous magnetic field. Zbl 0846.35094
Erdős, László
1996
Local spectral statistics of Gaussian matrices with correlated entries. Zbl 1386.60022
Ajanki, Oskari H.; Erdős, László; Krüger, Torben
2016
Phase transition in the density of states of quantum spin glasses. Zbl 1310.82051
Erdős, László; Schröder, Dominik
2014
Stability of the matrix Dyson equation and random matrices with correlations. Zbl 1448.60015
Ajanki, Oskari H.; Erdős, László; Krüger, Torben
2019
Dia- and paramagnetism for nonhomogeneous magnetic fields. Zbl 0875.81047
Erdős, László
1997
Quantum diffusion for the Anderson model in the scaling limit. Zbl 1208.82026
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2007
Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Zbl 1007.82023
Erdös, László
2002
Lifschitz tail in a magnetic field: The nonclassical regime. Zbl 0921.60099
Erdős, László
1998
The Altshuler-Shklovskii formulas for random band matrices. II: The general case. Zbl 1330.82027
Erdős, László; Knowles, Antti
2015
The Altshuler-Shklovskii formulas for random band matrices. I: The unimodular case. Zbl 1320.15032
Erdős, László; Knowles, Antti
2015
Magnetic Lieb-Thirring inequalities. Zbl 0843.47040
Erdős, László
1995
Pauli operator and Aharonov-Casher theorem for measure valued magnetic fields. Zbl 0994.81036
Erdős, László; Vougalter, Vitali
2002
Diamagnetic behavior of sums of Dirichlet eigenvalues. Zbl 0957.35104
Erdős, László; Loss, Michael; Vougalter, Vitali
2000
Local law of addition of random matrices on optimal scale. Zbl 1416.60015
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2017
Wegner estimate and Anderson localization for random magnetic fields. Zbl 1245.82029
Erdős, László; Hasler, David
2012
Correlated random matrices: band rigidity and edge universality. Zbl 1434.60017
Alt, Johannes; Erdős, László; Krüger, Torben; Schröder, Dominik
2020
Quadratic vector equations on complex upper half-plane. Zbl 1450.15002
Ajanki, Oskari Heikki; Erdős, László; Krüger, Torben
2019
Local inhomogeneous circular law. Zbl 1388.60019
Alt, Johannes; Erdős, László; Krüger, Torben
2018
Cusp universality for random matrices. II: The real symmetric case. Zbl 1476.60012
Cipolloni, Giorgio; Erdős, László; Krüger, Torben; Schröder, Dominik
2019
Decay of the Fourier transform of surfaces with vanishing curvature. Zbl 1122.42003
Erdős, László; Salmhofer, Manfred
2007
Cusp universality for random matrices. I: Local law and the complex Hermitian case. Zbl 1475.60013
Erdős, László; Krüger, Torben; Schröder, Dominik
2020
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Zbl 1245.15038
Erdős, László; Yau, Horng-Tzer
2012
Location of the spectrum of Kronecker random matrices. Zbl 1447.60014
Alt, Johannes; Erdős, László; Krüger, Torben; Nemish, Yuriy
2019
The Dyson equation with linear self-energy: spectral bands, edges and cusps. Zbl 1450.60005
Alt, Johannes; Erdős, László; Krüger, Torben
2020
Gaussian decay of the magnetic eigenfunctions. Zbl 0863.35089
Erdős, László
1996
Uniform Lieb-Thirring inequality for the three-dimensional Pauli operator with a strong non-homogeneous magnetic field. Zbl 1054.81016
Erdős, László; Solovej, Jan Philip
2004
Local stability of the free additive convolution. Zbl 1357.46058
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2016
Dynamical formation of correlations in a Bose-Einstein condensate. Zbl 1169.82010
Erdős, László; Michelangeli, Alessandro; Schlein, Benjamin
2009
Delocalization for a class of random block band matrices. Zbl 1391.15110
Bao, Zhigang; Erdős, László
2017
Anderson localization at band edges for random magnetic fields. Zbl 1245.82028
Erdős, László; Hasler, David
2012
Universality for random matrices and log-gases. Zbl 1291.15086
Erdős, László
2013
Ground-state density of the Pauli operator in the large field limit. Zbl 0850.81030
Erdős, László
1993
Ground state energy of large atoms in a self-generated magnetic field. Zbl 1207.81199
Erdős, László; Solovej, Jan Philip
2010
Relativistic Scott correction in self-generated magnetic fields. Zbl 1278.81163
Erdos, László; Fournais, Søren; Solovej, Jan Philip
2012
Edge universality for non-Hermitian random matrices. Zbl 1461.60008
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik
2021
Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator. Zbl 0815.60056
Erdös, László
1994
Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields. I: Nonasymptotic Lieb-Thirring-type estimate. Zbl 1047.81022
Erdös, László; Solovej, Jan Philip
1999
Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior in the borderline case. Zbl 0991.60098
Erdős, László
2001
The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Zbl 1085.82012
Eng, David; Erdős, László
2005
Scott correction for large atoms and molecules in a self-generated magnetic field. Zbl 1283.81124
Erdős, László; Fournais, Søren; Solovej, Jan Philip
2012
Convergence rate for spectral distribution of addition of random matrices. Zbl 1383.46048
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2017
Wegner estimate for random magnetic Laplacian on $$\mathbb Z^2$$. Zbl 1254.82018
Erdős, László; Hasler, David
2012
Magnetic lieb-thirring inequalities with optimal dependence on the field strength. Zbl 1138.81017
Erdős, László; Solovej, Jan Philip
2004
Fluctuations of rectangular Young diagrams of interlacing Wigner eigenvalues. Zbl 1407.60006
Erdős, László; Schröder, Dominik
2018
Power law decay for systems of randomly coupled differential equations. Zbl 1392.60011
Erdös, László; Krüger, Torben; Renfrew, David
2018
Local single ring theorem on optimal scale. Zbl 1479.15034
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2019
Local law for random Gram matrices. Zbl 1376.60014
Alt, Johannes; Erdős, László; Krüger, Torben
2017
Second order semiclassics with self-generated magnetic fields. Zbl 1252.81064
Erdős, László; Fournais, Søren; Solovej, Jan Philip
2012
Local eigenvalue density for general MANOVA matrices. Zbl 1286.15045
Erdős, László; Farrell, Brendan
2013
Local laws for polynomials of Wigner matrices. Zbl 1434.60024
Erdős, László; Krüger, Torben; Nemish, Yuriy
2020
Recent developments in quantum mechanics with magnetic fields. Zbl 1132.81345
Erdős, László
2007
Random matrices, log-gases and Hölder regularity. Zbl 1373.15052
Erdős, László
2014
Thermalisation for Wigner matrices. Zbl 1484.60004
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik
2022
Edge universality for non-Hermitian random matrices. Zbl 1461.60008
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik
2021
Eigenstate thermalization hypothesis for Wigner matrices. Zbl 1491.60011
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik
2021
Fluctuation around the circular law for random matrices with real entries. Zbl 1477.60016
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik
2021
Equipartition principle for Wigner matrices. Zbl 1475.60012
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2021
Scattering in quantum dots via noncommutative rational functions. Zbl 07458077
Erdős, László; Krüger, Torben; Nemish, Yuriy
2021
Correlated random matrices: band rigidity and edge universality. Zbl 1434.60017
Alt, Johannes; Erdős, László; Krüger, Torben; Schröder, Dominik
2020
Cusp universality for random matrices. I: Local law and the complex Hermitian case. Zbl 1475.60013
Erdős, László; Krüger, Torben; Schröder, Dominik
2020
The Dyson equation with linear self-energy: spectral bands, edges and cusps. Zbl 1450.60005
Alt, Johannes; Erdős, László; Krüger, Torben
2020
Local laws for polynomials of Wigner matrices. Zbl 1434.60024
Erdős, László; Krüger, Torben; Nemish, Yuriy
2020
Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices. Zbl 1460.60005
Cipolloni, Giorgio; Erdős, László
2020
Optimal lower bound on the least singular value of the shifted Ginibre ensemble. Zbl 1485.15041
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik
2020
Spectral rigidity for addition of random matrices at the regular edge. Zbl 1460.46058
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2020
Random matrices with slow correlation decay. Zbl 1422.60014
Erdos, László; Krüger, Torben; Schröder, Dominik
2019
Stability of the matrix Dyson equation and random matrices with correlations. Zbl 1448.60015
Ajanki, Oskari H.; Erdős, László; Krüger, Torben
2019
Quadratic vector equations on complex upper half-plane. Zbl 1450.15002
Ajanki, Oskari Heikki; Erdős, László; Krüger, Torben
2019
Cusp universality for random matrices. II: The real symmetric case. Zbl 1476.60012
Cipolloni, Giorgio; Erdős, László; Krüger, Torben; Schröder, Dominik
2019
Location of the spectrum of Kronecker random matrices. Zbl 1447.60014
Alt, Johannes; Erdős, László; Krüger, Torben; Nemish, Yuriy
2019
Local single ring theorem on optimal scale. Zbl 1479.15034
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2019
The matrix Dyson equation and its applications for random matrices. Zbl 1443.15001
Erdős, László
2019
Bounds on the norm of Wigner-type random matrices. Zbl 1422.60015
Erdős, László; Mühlbacher, Peter
2019
Local inhomogeneous circular law. Zbl 1388.60019
Alt, Johannes; Erdős, László; Krüger, Torben
2018
Fluctuations of rectangular Young diagrams of interlacing Wigner eigenvalues. Zbl 1407.60006
Erdős, László; Schröder, Dominik
2018
Power law decay for systems of randomly coupled differential equations. Zbl 1392.60011
Erdös, László; Krüger, Torben; Renfrew, David
2018
A dynamical approach to random matrix theory. Zbl 1379.15003
Erdős, László; Yau, Horng-Tzer
2017
Universality for general Wigner-type matrices. Zbl 1403.60010
Ajanki, Oskari H.; Erdős, László; Krüger, Torben
2017
Universality for a class of random band matrices. Zbl 1381.15029
Bourgade, Paul; Erdos, Laszlo; Yau, Horng-Tzer; Yin, Jun
2017
Singularities of solutions to quadratic vector equations on the complex upper half-plane. Zbl 1419.15014
Ajanki, Oskari; Krüger, Torben; Erdős, László
2017
Universality for random matrix flows with time-dependent density. Zbl 1387.60011
Erdős, László; Schnelli, Kevin
2017
Local law of addition of random matrices on optimal scale. Zbl 1416.60015
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2017
Delocalization for a class of random block band matrices. Zbl 1391.15110
Bao, Zhigang; Erdős, László
2017
Convergence rate for spectral distribution of addition of random matrices. Zbl 1383.46048
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2017
Local law for random Gram matrices. Zbl 1376.60014
Alt, Johannes; Erdős, László; Krüger, Torben
2017
Fixed energy universality for generalized Wigner matrices. Zbl 1354.15025
Bourgade, Paul; Erdős, Laszlo; Yau, Horng-Tzer; Yin, Jun
2016
Local spectral statistics of Gaussian matrices with correlated entries. Zbl 1386.60022
Ajanki, Oskari H.; Erdős, László; Krüger, Torben
2016
Local stability of the free additive convolution. Zbl 1357.46058
Bao, Zhigang; Erdős, László; Schnelli, Kevin
2016
Fluctuations of functions of Wigner matrices. Zbl 1355.60011
Erdős, László; Schröder, Dominik
2016
Gap universality of generalized Wigner and $$\beta$$-ensembles. Zbl 1333.15031
Erdős, László; Yau, Horng-Tzer
2015
The Altshuler-Shklovskii formulas for random band matrices. II: The general case. Zbl 1330.82027
Erdős, László; Knowles, Antti
2015
The Altshuler-Shklovskii formulas for random band matrices. I: The unimodular case. Zbl 1320.15032
Erdős, László; Knowles, Antti
2015
Edge universality of beta ensembles. Zbl 1306.82010
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
2014
Universality of general $$\beta$$-ensembles. Zbl 1298.15040
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
2014
Isotropic local laws for sample covariance and generalized Wigner matrices. Zbl 1288.15044
Alex, Bloemendal; Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2014
Phase transition in the density of states of quantum spin glasses. Zbl 1310.82051
Erdős, László; Schröder, Dominik
2014
Random matrices, log-gases and Hölder regularity. Zbl 1373.15052
Erdős, László
2014
Local semicircle law with imprimitive variance matrix. Zbl 1310.15069
Ajanki, Oskari Heikki; Erdős, Lászlo; Krüger, Torben
2014
Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2013
The local semicircle law for a general class of random matrices. Zbl 1373.15053
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2013
Delocalization and diffusion profile for random band matrices. Zbl 1279.15027
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2013
Averaging fluctuations in resolvents of random band matrices. Zbl 1296.15020
Erdős, László; Knowles, Antti; Yau, Horng-Tzer
2013
Universality for random matrices and log-gases. Zbl 1291.15086
Erdős, László
2013
Local eigenvalue density for general MANOVA matrices. Zbl 1286.15045
Erdős, László; Farrell, Brendan
2013
Stability and semiclassics in self-generated fields. Zbl 1284.35299
Erdős, László; Fournais, Søren; Solovej, Jan Philip
2013
Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017
Erdős, László; Yau, Horng-Tzer; Yin, Jun
2012
Bulk universality for generalized Wigner matrices. Zbl 1277.15026
Erdős, László; Yau, Horng-Tzer; Yin, Jun
2012
Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues. Zbl 1251.05162
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
2012
The local relaxation flow approach to universality of the local statistics for random matrices. Zbl 1285.82029
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer; Yin, Jun
2012
Universality of local spectral statistics of random matrices. Zbl 1263.15032
Erdős, László; Yau, Horng-Tzer
2012
Bulk universality of general {$$\beta$$}-ensembles with non-convex potential. Zbl 1278.82032
Bourgade, Paul; Erdos, László; Yau, Horng-Tzer
2012
Wegner estimate and Anderson localization for random magnetic fields. Zbl 1245.82029
Erdős, László; Hasler, David
2012
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Zbl 1245.15038
Erdős, László; Yau, Horng-Tzer
2012
Anderson localization at band edges for random magnetic fields. Zbl 1245.82028
Erdős, László; Hasler, David
2012
Relativistic Scott correction in self-generated magnetic fields. Zbl 1278.81163
Erdos, László; Fournais, Søren; Solovej, Jan Philip
2012
Scott correction for large atoms and molecules in a self-generated magnetic field. Zbl 1283.81124
Erdős, László; Fournais, Søren; Solovej, Jan Philip
2012
Wegner estimate for random magnetic Laplacian on $$\mathbb Z^2$$. Zbl 1254.82018
Erdős, László; Hasler, David
2012
Second order semiclassics with self-generated magnetic fields. Zbl 1252.81064
Erdős, László; Fournais, Søren; Solovej, Jan Philip
2012
Lecture notes on quantum Brownian motion. Zbl 1295.82016
Erdős, László
2012
Universality of random matrices and local relaxation flow. Zbl 1225.15033
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2011
Universality for generalized Wigner matrices with Bernoulli distribution. Zbl 1235.15029
Erdős, László; Yau, Horng-Tzer; Yin, Jun
2011
Quantum diffusion and eigenfunction delocalization in a random band matrix model. Zbl 1226.15024
Erdős, László; Knowles, Antti
2011
Universality of Wigner random matrices: a survey of recent results. Zbl 1230.82032
Erdős, Laszlo
2011
Quantum diffusion and delocalization for band matrices with general distribution. Zbl 1247.15033
Erdős, László; Knowles, Antti
2011
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Zbl 1204.82028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2010
Bulk universality for Wigner matrices. Zbl 1216.15025
Erdös, László; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
2010
Wegner estimate and level repulsion for Wigner random matrices. Zbl 1204.15043
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2010
Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027
Erdős, László; Ramírez, José; Schlein, Benjamin; Tao, Terence; Vu, Van; Yau, Horng-Tzer
2010
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Zbl 1225.15034
Erdős, László; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
2010
Ground state energy of large atoms in a self-generated magnetic field. Zbl 1207.81199
Erdős, László; Solovej, Jan Philip
2010
Universality of Wigner random matrices. Zbl 1205.82080
Erdős, László
2010
Local semicircle law and complete delocalization for Wigner random matrices. Zbl 1186.60005
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2009
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2009
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. Zbl 1207.82031
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2009
Quantum dynamics with mean field interactions: a new approach. Zbl 1173.82016
Erdős, László; Schlein, Benjamin
2009
Dynamical formation of correlations in a Bose-Einstein condensate. Zbl 1169.82010
Erdős, László; Michelangeli, Alessandro; Schlein, Benjamin
2009
Quantum diffusion of the random Schrödinger evolution in the scaling limit. Zbl 1155.82015
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2008
Rate of decoherence for an electron weakly coupled to a phonon gas. Zbl 1144.82039
2008
Feynman graphs and renormalization in quantum diffusion. Zbl 1170.81037
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2008
Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems. Zbl 1123.35066
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2007
Quantum diffusion of the random Schrödinger evolution in the scaling limit. II: The recollision diagrams. Zbl 1205.82123
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2007
Quantum diffusion for the Anderson model in the scaling limit. Zbl 1208.82026
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2007
Decay of the Fourier transform of surfaces with vanishing curvature. Zbl 1122.42003
Erdős, László; Salmhofer, Manfred
2007
Recent developments in quantum mechanics with magnetic fields. Zbl 1132.81345
Erdős, László
2007
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Zbl 1122.82018
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2006
Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. Zbl 1086.81035
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2006
The linear Boltzmann equation as the low density limit of a random Schrödinger equation. Zbl 1085.82012
Eng, David; Erdős, László
2005
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Zbl 1059.81190
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
2004
On the quantum Boltzmann equation. Zbl 1142.82346
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
2004
Uniform Lieb-Thirring inequality for the three-dimensional Pauli operator with a strong non-homogeneous magnetic field. Zbl 1054.81016
Erdős, László; Solovej, Jan Philip
2004
Magnetic lieb-thirring inequalities with optimal dependence on the field strength. Zbl 1138.81017
Erdős, László; Solovej, Jan Philip
2004
Derivation of the Schrödinger-Poisson equation from the quantum $$N$$-body problem. Zbl 1018.81009
Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer
2002
...and 22 more Documents
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### Cited by 991 Authors

 73 Erdős, László 40 Schlein, Benjamin 36 Yau, Horng-Tzer 26 Knowles, Antti 20 Lee, Ji Oon 20 Yin, Jun 17 Chen, Thomas 17 Schnelli, Kevin 16 Krüger, Torben 16 Vu, Van H. 15 Bao, Zhigang 14 Guionnet, Alice 14 Pavlović, Nataša 14 Pickl, Peter 14 Solovej, Jan Philip 13 Bal, Guillaume 13 Bourgade, Paul 13 Fournais, Søren 13 Götze, Friedrich 12 Chen, Xuwen 12 Fröhlich, Jürg Martin 12 Phan Thành Nam 12 Pulvirenti, Mario 12 Tao, Terence 11 Porta, Marcello 11 Rougerie, Nicolas 10 Alt, Johannes 10 Benaych-Georges, Florent 10 Landon, Benjamin A. 10 Lewin, Mathieu 10 Schröder, Dominik 9 De Roeck, Wojciech 9 Komorowski, Tomasz 9 Machedon, Matei 9 Shcherbina, Tatyana 9 Tikhomirov, Alexander Nikolaevich 9 Warzel, Simone 8 Benedikter, Niels 8 Bordenave, Charles 8 Castella, François 8 Cipolloni, Giorgio 8 Ding, Xiucai 8 Golse, François 8 Grillakis, Manoussos G. 8 Huang, Jiaoyang 8 Lambert, Gaultier 8 Lopatto, Patrick 8 Lu, Xuguang 8 Pan, Guangming 8 Paul, Thierry 8 Ryzhik, Lenya 8 Seiringer, Robert 8 Sohinger, Vedran 7 Brennecke, Christian 7 Gorin, Vadim 7 He, Yukun 7 Helffer, Bernard 7 Holmer, Justin 7 Kachmar, Ayman 7 Petrat, Sören 7 Saffirio, Chiara 7 Serfaty, Sylvia 7 Shcherbina, Mariya 6 Bai, Zhi-Dong 6 Cenatiempo, Serena 6 Chafaï, Djalil 6 Chen, Li 6 Forrester, Peter J. 6 López, José Luis 6 Loss, Michael 6 Lukkarinen, Jani 6 Michelangeli, Alessandro 6 Naumov, Alekseĭ Aleksandrovich 6 Nguyen, Hoi H. 6 O’Rourke, Sean D. 6 Péché, Sandrine 6 Pinaud, Olivier 6 Sosoe, Philippe 6 Staffilani, Gigliola 6 Zhou, Wang 5 Ajanki, Oskari Heikki 5 Arnold, Anton 5 Baik, Jinho 5 Claeys, Tom 5 Hong, Younghun 5 Kirsch, Werner 5 Lee, Jinyeop 5 Maltsev, Anna V. 5 Sundqvist, Mikael Persson 5 Pizzo, Alessandro 5 Rademacher, Simone 5 Rudelson, Mark 5 Spohn, Herbert 5 Vershynin, Roman 5 von Soosten, Per 4 Ammari, Zied 4 Bekerman, Florent 4 Benigni, Lucas 4 Berkooz, Micha 4 Boccato, Chiara ...and 891 more Authors
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### Cited in 182 Serials

 98 Communications in Mathematical Physics 88 Journal of Statistical Physics 62 Journal of Mathematical Physics 49 Probability Theory and Related Fields 38 Annales Henri Poincaré 35 Journal of Functional Analysis 30 The Annals of Probability 26 Electronic Journal of Probability 25 Random Matrices: Theory and Applications 22 Archive for Rational Mechanics and Analysis 21 Advances in Mathematics 21 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 17 Communications on Pure and Applied Mathematics 17 Letters in Mathematical Physics 15 Reviews in Mathematical Physics 14 The Annals of Statistics 13 Duke Mathematical Journal 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 The Annals of Applied Probability 12 Communications in Partial Differential Equations 12 Journal of High Energy Physics 11 Journal of Mathematical Analysis and Applications 11 Inventiones Mathematicae 11 Bernoulli 10 Journal of Differential Equations 9 Journal of the European Mathematical Society (JEMS) 8 Journal of Theoretical Probability 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Annales de l’Institut Fourier 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal of Computational Physics 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 SIAM Journal on Mathematical Analysis 6 Mathematical Physics, Analysis and Geometry 5 Wave Motion 5 Quarterly of Applied Mathematics 5 Random Structures & Algorithms 5 The Journal of Geometric Analysis 5 Stochastic Processes and their Applications 5 Bulletin of the American Mathematical Society. New Series 5 Electronic Communications in Probability 5 Journal of Physics A: Mathematical and Theoretical 5 Journal of Spectral Theory 5 Séminaire Laurent Schwartz. EDP et Applications 4 Physica D 4 Geometric and Functional Analysis. GAFA 4 Calculus of Variations and Partial Differential Equations 3 Journal d’Analyse Mathématique 3 Mathematical Methods in the Applied Sciences 3 Nonlinearity 3 Reports on Mathematical Physics 3 Acta Mathematica 3 Revista Matemática Iberoamericana 3 Statistical Papers 3 Journal of Mathematical Sciences (New York) 3 St. Petersburg Mathematical Journal 3 Discrete and Continuous Dynamical Systems 3 Doklady Mathematics 3 Annals of Mathematics. Second Series 3 Communications in Contemporary Mathematics 3 Journal of Machine Learning Research (JMLR) 3 Stochastics and Dynamics 3 Multiscale Modeling & Simulation 3 Oberwolfach Reports 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Discrete and Continuous Dynamical Systems. Series S 3 Kinetic and Related Models 3 Annals of PDE 2 Advances in Applied Probability 2 Applicable Analysis 2 Nuclear Physics. B 2 Physics Letters. A 2 Theory of Probability and its Applications 2 Journal of Approximation Theory 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Numerical Mathematics 2 Constructive Approximation 2 Journal of the American Mathematical Society 2 Sugaku Expositions 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Documenta Mathematica 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 New Journal of Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Hyperbolic Differential Equations 2 Journal of Statistical Mechanics: Theory and Experiment 2 Electronic Journal of Statistics 2 Analysis & PDE 2 Forum of Mathematics, Pi 2 Forum of Mathematics, Sigma 2 Pure and Applied Analysis 2 Annales Henri Lebesgue 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Mathematical Notes 1 Physica A ...and 82 more Serials
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### Cited in 49 Fields

 456 Probability theory and stochastic processes (60-XX) 375 Partial differential equations (35-XX) 345 Statistical mechanics, structure of matter (82-XX) 342 Quantum theory (81-XX) 313 Linear and multilinear algebra; matrix theory (15-XX) 74 Operator theory (47-XX) 60 Statistics (62-XX) 56 Combinatorics (05-XX) 39 Functional analysis (46-XX) 39 Fluid mechanics (76-XX) 37 Dynamical systems and ergodic theory (37-XX) 29 Global analysis, analysis on manifolds (58-XX) 26 Numerical analysis (65-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 Optics, electromagnetic theory (78-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 16 Relativity and gravitational theory (83-XX) 13 Special functions (33-XX) 12 Ordinary differential equations (34-XX) 11 Functions of a complex variable (30-XX) 10 Number theory (11-XX) 9 Mechanics of particles and systems (70-XX) 8 Mechanics of deformable solids (74-XX) 7 Approximations and expansions (41-XX) 6 Integral equations (45-XX) 6 Differential geometry (53-XX) 6 Computer science (68-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 5 Algebraic geometry (14-XX) 5 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Astronomy and astrophysics (85-XX) 4 Systems theory; control (93-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX)

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