László Erdös

Erdoes Group

149 Publications

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[149]
2024 | Published | Journal Article | IST-REx-ID: 15025 | OA
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[148]
2023 | Published | Journal Article | IST-REx-ID: 12683 | OA
Dynamics of a rank-one perturbation of a Hermitian matrix
G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[147]
2023 | Published | Journal Article | IST-REx-ID: 12707 | OA
Small deviation estimates for the largest eigenvalue of Wigner matrices
L. Erdös, Y. Xu, Bernoulli 29 (2023) 1063–1079.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[146]
2023 | Published | Journal Article | IST-REx-ID: 12761 | OA
Functional central limit theorems for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[145]
2023 | Published | Journal Article | IST-REx-ID: 12792 | OA
On the spectral form factor for random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
[Published Version] View | Files available | DOI | WoS
 
[144]
2023 | Published | Journal Article | IST-REx-ID: 13317 | OA
Eigenstate thermalisation hypothesis for translation invariant spin systems
S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[143]
2023 | Published | Journal Article | IST-REx-ID: 11741 | OA
Quenched universality for deformed Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[142]
2023 | Published | Journal Article | IST-REx-ID: 14343 | OA
Gaussian fluctuations in the equipartition principle for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[141]
2023 | Epub ahead of print | Journal Article | IST-REx-ID: 14408 | OA
Mesoscopic central limit theorem for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2023).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[140]
2023 | Published | Journal Article | IST-REx-ID: 14667 | OA
Functional CLT for non-Hermitian random matrices
L. Erdös, H.C. Ji, Annales de l’institut Henri Poincare (B) Probability and Statistics 59 (2023) 2083–2105.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[139]
2023 | Published | Journal Article | IST-REx-ID: 14849 | OA
On the rightmost eigenvalue of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[138]
2023 | Published | Journal Article | IST-REx-ID: 10405 | OA
Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[137]
2022 | Published | Journal Article | IST-REx-ID: 12243 | OA
Directional extremal statistics for Ginibre eigenvalues
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[136]
2022 | Published | Journal Article | IST-REx-ID: 12290 | OA
Optimal multi-resolvent local laws for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
[Published Version] View | Files available | DOI | WoS
 
[135]
2022 | Published | Journal Article | IST-REx-ID: 11418 | OA
Normal fluctuation in quantum ergodicity for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[134]
2022 | Published | Journal Article | IST-REx-ID: 12148 | OA
Rank-uniform local law for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
[Published Version] View | Files available | DOI | WoS
 
[133]
2022 | Published | Journal Article | IST-REx-ID: 12179 | OA
On the condition number of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[132]
2022 | Published | Journal Article | IST-REx-ID: 12232 | OA
Density of small singular values of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
[Published Version] View | Files available | DOI | WoS
 
[131]
2022 | Published | Journal Article | IST-REx-ID: 10732 | OA
Thermalisation for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[130]
2021 | Published | Journal Article | IST-REx-ID: 8601 | OA
Edge universality for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[129]
2021 | Published | Journal Article | IST-REx-ID: 15013 | OA
Spectral radius of random matrices with independent entries
J. Alt, L. Erdös, T.H. Krüger, Probability and Mathematical Physics 2 (2021) 221–280.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[128]
2021 | Published | Journal Article | IST-REx-ID: 9412 | OA
Fluctuation around the circular law for random matrices with real entries
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[127]
2021 | Published | Journal Article | IST-REx-ID: 9550 | OA
Equipartition principle for Wigner matrices
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[126]
2021 | Published | Journal Article | IST-REx-ID: 9912 | OA
Scattering in quantum dots via noncommutative rational functions
L. Erdös, T.H. Krüger, Y. Nemish, Annales Henri Poincaré 22 (2021) 4205–4269.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[125]
2021 | Published | Journal Article | IST-REx-ID: 10221 | OA
Eigenstate thermalization hypothesis for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[124]
2020 | Published | Journal Article | IST-REx-ID: 9104 | OA
On the support of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[123]
2020 | Published | Journal Article | IST-REx-ID: 6184 | OA
Correlated random matrices: Band rigidity and edge universality
J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, Annals of Probability 48 (2020) 963–1001.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[122]
2020 | Published | Journal Article | 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, Communications in Mathematical Physics 378 (2020) 1203–1278.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[121]
2020 | Published | 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 9 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[120]
2020 | Published | Journal Article | IST-REx-ID: 7512 | OA
Local laws for polynomials of Wigner matrices
L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis 278 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[119]
2020 | Published | Journal Article | IST-REx-ID: 14694 | OA
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
[Published Version] View | Files available | DOI | arXiv
 
[118]
2020 | Published | Journal Article | IST-REx-ID: 15063 | OA
Optimal lower bound on the least singular value of the shifted Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Probability and Mathematical Physics 1 (2020) 101–146.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[117]
2020 | Published | Journal Article | IST-REx-ID: 10862 | OA
Spectral rigidity for addition of random matrices at the regular edge
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[116]
2019 | Published | 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 173 (2019) 293–373.
[Published Version] View | Files available | DOI | WoS
 
[115]
2019 | Published | 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).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[114]
2019 | Published | Journal Article | 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, Pure and Applied Analysis 1 (2019) 615–707.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[113]
2019 | Published | Journal Article | IST-REx-ID: 6240 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[112]
2019 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[111]
2018 | Published | 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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[110]
2018 | Published | 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).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[109]
2018 | Submitted | Preprint | IST-REx-ID: 6183 | OA
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, ArXiv (n.d.).
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[108]
2018 | Published | 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.
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 
[107]
2018 | Published | 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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[106]
2017 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[105]
2017 | Published | 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 | DOI
 
[104]
2017 | Published | 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.
[Published Version] View | Files available | DOI | WoS
 
[103]
2017 | Published | Journal Article | IST-REx-ID: 1144 | OA
Fluctuations of functions of Wigner matrices
L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
[Published Version] View | Files available | DOI
 
[102]
2017 | Published | 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.
[Published Version] View | Files available | DOI | WoS
 
[101]
2017 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[100]
2017 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[99]
2017 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS
 
[98]
2017 | Published | 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.
[Published Version] View | Files available | DOI | WoS
 
[97]
2017 | Published | Journal Article | IST-REx-ID: 1010 | OA
Local law for random Gram matrices
J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[96]
2016 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[95]
2016 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[94]
2016 | Published | 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.
[Published Version] View | Files available | DOI
 
[93]
2015 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[92]
2015 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[91]
2015 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[90]
2014 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[89]
2014 | Published | Conference Paper | IST-REx-ID: 1507 | OA
Random matrices, log-gases and Hölder regularity
L. Erdös, in:, Proceedings of the International Congress of Mathematicians, International Congress of Mathematicians, 2014, pp. 214–236.
[Submitted Version] View | Download Submitted Version (ext.)
 
[88]
2014 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[87]
2014 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[86]
2014 | Published | 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).
[Published Version] View | Files available | DOI
 
[85]
2014 | Published | 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).
[Published Version] View | Files available | DOI
 
[84]
2013 | Published | 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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[83]
2013 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[82]
2013 | Published | 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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[81]
2013 | Published | 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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[80]
2013 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[79]
2013 | Published | 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.
[Published Version] View | Files available | DOI
 
[78]
2012 | Published | Preprint | IST-REx-ID: 2696 | OA
Universality for random matrices and log-gases
L. Erdös, ArXiv (2012).
View | Download (ext.)
 
[77]
2012 | Published | 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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[76]
2012 | Published | 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
 
[75]
2012 | Published | 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
 
[74]
2012 | Published | 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
 
[73]
2012 | Published | 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
 
[72]
2012 | Published | 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
 
[71]
2012 | Published | 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
 
[70]
2012 | Published | 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
 
[69]
2012 | Published | 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
 
[68]
2012 | Published | 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
 
[67]
2012 | Published | 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
 
[66]
2012 | Published | 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
 
[65]
2012 | Published | 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
 
[64]
2012 | Published | 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
 
[63]
2011 | Published | 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
 
[62]
2011 | Published | 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
 
[61]
2011 | Published | 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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[60]
2011 | Published | 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
 
[59]
2010 | Published | 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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[58]
2010 | Published | 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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[57]
2010 | Published | 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
 
[56]
2010 | Published | 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
 
[55]
2010 | Published | 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
 
[54]
2010 | Published | 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 | Published | 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.)
 
[52]
2009 | Published | 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
 
[51]
2009 | Published | 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
 
[50]
2009 | Published | 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 | Published | 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
 
[48]
2008 | Published | 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.)
 
[47]
2008 | Published | 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
 
[46]
2008 | Published | 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
 
[45]
2008 | Published | 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
 
[44]
2007 | Published | 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 | Published | 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 | Published | 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
 
[41]
2007 | Published | 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
 
[40]
2007 | Published | 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 | Published | 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 | Published | 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
 
[37]
2006 | Published | 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
 
[36]
2006 | Published | 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
 
[35]
2005 | Published | 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 | Published | 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 | Published | 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
 
[32]
2004 | Published | 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
 
[31]
2004 | Published | Journal Article | IST-REx-ID: 2741
Uniform Lieb-Thirring inequality for the three-dimensional Pauli operator with a strong non-homogeneous magnetic field
L. Erdös, J. Solovej, Annales Henri Poincare 5 (2004) 671–741.
View | DOI
 
[30]
2004 | Published | 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
 
[29]
2002 | Published | Book Chapter | IST-REx-ID: 2694
Scaling limits of Schrödinger quantum mechanics
L. Erdös, in:, Dynamics of Dissipation, Springer, 2002, pp. 487–506.
View | DOI
 
[28]
2002 | Published | 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 | Published | 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 | Published | 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.
[Submitted Version] View | DOI | arXiv
 
[25]
2002 | Published | 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 | arXiv
 
[24]
2002 | Published | 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.
View | DOI
 
[23]
2001 | Published | Book Chapter | IST-REx-ID: 2709
Long time dynamics of an electron in a weakly coupled phonon field
L. Erdös, in:, 13th International Congress of Mathematical Physics, International Press of Boston, 2001, pp. 273–281.
View
 
[22]
2001 | Published | Journal Article | IST-REx-ID: 2734 | OA
The kernel of Dirac operators on S3 and R3
L. Erdös, J. Solovej, Reviews in Mathematical Physics 13 (2001) 1247–1280.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[21]
2001 | Published | Journal Article | IST-REx-ID: 2735 | OA
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.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[20]
2001 | Published | 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.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[19]
2000 | Published | Book Chapter | IST-REx-ID: 2710
The kernel of Dirac operators on S3 and R3
L. Erdös, in:, Differential Equations and Mathematical Physics, American Mathematical Society, 2000, pp. 111–119.
[Preprint] View | DOI | arXiv
 
[18]
2000 | Published | 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.
[Preprint] View | DOI | arXiv
 
[17]
2000 | Published | 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 | Published | 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 | Published | Conference Paper | IST-REx-ID: 2711
Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation
L. Erdös, in:, Proceedings of the 7th QMath Conference, World Scientific Publishing, 1999, pp. 233–242.
View | DOI
 
[14]
1999 | Published | Journal Article | IST-REx-ID: 2730
Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields, I: Nonasymptotic Lieb-Thirring-type estimate
L. Erdös, J. Solovej, Duke Mathematical Journal 96 (1999) 127–173.
View | DOI
 
[13]
1998 | Published | Book Chapter | IST-REx-ID: 2695
Linear Boltzmann equation as scaling limit of quantum Lorentz gas
L. Erdös, H. Yau, in:, Advances in Differential Equations and Mathematical Physics, American Mathematical Society, 1998, pp. 137–155.
View | DOI
 
[12]
1998 | Published | 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 | Published | 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 | Published | Journal Article | IST-REx-ID: 2729
Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields, II. Leading order asymptotic estimates
L. Erdös, J. Solovej, Communications in Mathematical Physics 188 (1997) 599–656.
View | DOI
 
[9]
1996 | Published | 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 | Published | 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 | Published | Conference Paper | IST-REx-ID: 2712
Magnetic Lieb-Thirring inequalities and stochastic oscillatory integrals
L. Erdös, in:, Birkhäuser, 1995, pp. 127–132.
View | DOI | Download None (ext.)
 
[6]
1995 | Published | Journal Article | IST-REx-ID: 2724
Magnetic Lieb-Thirring inequalities
L. Erdös, Communications in Mathematical Physics 170 (1995) 629–668.
View | DOI | Download None (ext.)
 
[5]
1994 | Published | Journal Article | IST-REx-ID: 2713
Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator
L. Erdös, Duke Mathematical Journal 76 (1994) 541–566.
View | DOI | Download None (ext.)
 
[4]
1993 | Published | 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 | Download None (ext.)
 
[3]
1992 | Published | 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 | Download None (ext.)
 
[2]
1992 | Published | Journal Article | IST-REx-ID: 2722 | OA
Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers
L. Erdös, D. Tuyen, Communications in Mathematical Physics 143 (1992) 451–466.
[Published Version] View | DOI | Download Published Version (ext.)
 
[1]
1990 | Published | 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 | Download None (ext.)
 
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149 Publications

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[149]
2024 | Published | Journal Article | IST-REx-ID: 15025 | OA
Extremal statistics of quadratic forms of GOE/GUE eigenvectors
L. Erdös, B. McKenna, Annals of Applied Probability 34 (2024) 1623–1662.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[148]
2023 | Published | Journal Article | IST-REx-ID: 12683 | OA
Dynamics of a rank-one perturbation of a Hermitian matrix
G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[147]
2023 | Published | Journal Article | IST-REx-ID: 12707 | OA
Small deviation estimates for the largest eigenvalue of Wigner matrices
L. Erdös, Y. Xu, Bernoulli 29 (2023) 1063–1079.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[146]
2023 | Published | Journal Article | IST-REx-ID: 12761 | OA
Functional central limit theorems for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[145]
2023 | Published | Journal Article | IST-REx-ID: 12792 | OA
On the spectral form factor for random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 401 (2023) 1665–1700.
[Published Version] View | Files available | DOI | WoS
 
[144]
2023 | Published | Journal Article | IST-REx-ID: 13317 | OA
Eigenstate thermalisation hypothesis for translation invariant spin systems
S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[143]
2023 | Published | Journal Article | IST-REx-ID: 11741 | OA
Quenched universality for deformed Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields 185 (2023) 1183–1218.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[142]
2023 | Published | Journal Article | IST-REx-ID: 14343 | OA
Gaussian fluctuations in the equipartition principle for Wigner matrices
G. Cipolloni, L. Erdös, S.J. Henheik, O. Kolupaiev, Forum of Mathematics, Sigma 11 (2023).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[141]
2023 | Epub ahead of print | Journal Article | IST-REx-ID: 14408 | OA
Mesoscopic central limit theorem for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2023).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[140]
2023 | Published | Journal Article | IST-REx-ID: 14667 | OA
Functional CLT for non-Hermitian random matrices
L. Erdös, H.C. Ji, Annales de l’institut Henri Poincare (B) Probability and Statistics 59 (2023) 2083–2105.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[139]
2023 | Published | Journal Article | IST-REx-ID: 14849 | OA
On the rightmost eigenvalue of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51 (2023) 2192–2242.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[138]
2023 | Published | Journal Article | IST-REx-ID: 10405 | OA
Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications on Pure and Applied Mathematics 76 (2023) 946–1034.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[137]
2022 | Published | Journal Article | IST-REx-ID: 12243 | OA
Directional extremal statistics for Ginibre eigenvalues
G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, Journal of Mathematical Physics 63 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[136]
2022 | Published | Journal Article | IST-REx-ID: 12290 | OA
Optimal multi-resolvent local laws for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 27 (2022) 1–38.
[Published Version] View | Files available | DOI | WoS
 
[135]
2022 | Published | Journal Article | IST-REx-ID: 11418 | OA
Normal fluctuation in quantum ergodicity for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Probability 50 (2022) 984–1012.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[134]
2022 | Published | Journal Article | IST-REx-ID: 12148 | OA
Rank-uniform local law for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
[Published Version] View | Files available | DOI | WoS
 
[133]
2022 | Published | Journal Article | IST-REx-ID: 12179 | OA
On the condition number of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, SIAM Journal on Matrix Analysis and Applications 43 (2022) 1469–1487.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[132]
2022 | Published | Journal Article | IST-REx-ID: 12232 | OA
Density of small singular values of the shifted real Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Annales Henri Poincaré 23 (2022) 3981–4002.
[Published Version] View | Files available | DOI | WoS
 
[131]
2022 | Published | Journal Article | IST-REx-ID: 10732 | OA
Thermalisation for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Journal of Functional Analysis 282 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[130]
2021 | Published | Journal Article | IST-REx-ID: 8601 | OA
Edge universality for non-Hermitian random matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Probability Theory and Related Fields (2021).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[129]
2021 | Published | Journal Article | IST-REx-ID: 15013 | OA
Spectral radius of random matrices with independent entries
J. Alt, L. Erdös, T.H. Krüger, Probability and Mathematical Physics 2 (2021) 221–280.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[128]
2021 | Published | Journal Article | IST-REx-ID: 9412 | OA
Fluctuation around the circular law for random matrices with real entries
G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability 26 (2021).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[127]
2021 | Published | Journal Article | IST-REx-ID: 9550 | OA
Equipartition principle for Wigner matrices
Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[126]
2021 | Published | Journal Article | IST-REx-ID: 9912 | OA
Scattering in quantum dots via noncommutative rational functions
L. Erdös, T.H. Krüger, Y. Nemish, Annales Henri Poincaré 22 (2021) 4205–4269.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[125]
2021 | Published | Journal Article | IST-REx-ID: 10221 | OA
Eigenstate thermalization hypothesis for Wigner matrices
G. Cipolloni, L. Erdös, D.J. Schröder, Communications in Mathematical Physics 388 (2021) 1005–1048.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[124]
2020 | Published | Journal Article | IST-REx-ID: 9104 | OA
On the support of the free additive convolution
Z. Bao, L. Erdös, K. Schnelli, Journal d’Analyse Mathematique 142 (2020) 323–348.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[123]
2020 | Published | Journal Article | IST-REx-ID: 6184 | OA
Correlated random matrices: Band rigidity and edge universality
J. Alt, L. Erdös, T.H. Krüger, D.J. Schröder, Annals of Probability 48 (2020) 963–1001.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[122]
2020 | Published | Journal Article | 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, Communications in Mathematical Physics 378 (2020) 1203–1278.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[121]
2020 | Published | 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 9 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[120]
2020 | Published | Journal Article | IST-REx-ID: 7512 | OA
Local laws for polynomials of Wigner matrices
L. Erdös, T.H. Krüger, Y. Nemish, Journal of Functional Analysis 278 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[119]
2020 | Published | Journal Article | IST-REx-ID: 14694 | OA
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, Documenta Mathematica 25 (2020) 1421–1539.
[Published Version] View | Files available | DOI | arXiv
 
[118]
2020 | Published | Journal Article | IST-REx-ID: 15063 | OA
Optimal lower bound on the least singular value of the shifted Ginibre ensemble
G. Cipolloni, L. Erdös, D.J. Schröder, Probability and Mathematical Physics 1 (2020) 101–146.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[117]
2020 | Published | Journal Article | IST-REx-ID: 10862 | OA
Spectral rigidity for addition of random matrices at the regular edge
Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[116]
2019 | Published | 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 173 (2019) 293–373.
[Published Version] View | Files available | DOI | WoS
 
[115]
2019 | Published | 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).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[114]
2019 | Published | Journal Article | 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, Pure and Applied Analysis 1 (2019) 615–707.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[113]
2019 | Published | Journal Article | IST-REx-ID: 6240 | OA
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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[112]
2019 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[111]
2018 | Published | 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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[110]
2018 | Published | 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).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[109]
2018 | Submitted | Preprint | IST-REx-ID: 6183 | OA
The Dyson equation with linear self-energy: Spectral bands, edges and cusps
J. Alt, L. Erdös, T.H. Krüger, ArXiv (n.d.).
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[108]
2018 | Published | 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.
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 
[107]
2018 | Published | 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.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[106]
2017 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[105]
2017 | Published | 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 | DOI
 
[104]
2017 | Published | 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.
[Published Version] View | Files available | DOI | WoS
 
[103]
2017 | Published | Journal Article | IST-REx-ID: 1144 | OA
Fluctuations of functions of Wigner matrices
L. Erdös, D.J. Schröder, Electronic Communications in Probability 21 (2017).
[Published Version] View | Files available | DOI
 
[102]
2017 | Published | 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.
[Published Version] View | Files available | DOI | WoS
 
[101]
2017 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[100]
2017 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[99]
2017 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS
 
[98]
2017 | Published | 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.
[Published Version] View | Files available | DOI | WoS
 
[97]
2017 | Published | Journal Article | IST-REx-ID: 1010 | OA
Local law for random Gram matrices
J. Alt, L. Erdös, T.H. Krüger, Electronic Journal of Probability 22 (2017).
[Published Version] View | Files available | DOI | WoS | arXiv
 
[96]
2016 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[95]
2016 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[94]
2016 | Published | 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.
[Published Version] View | Files available | DOI
 
[93]
2015 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[92]
2015 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[91]
2015 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[90]
2014 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.)
 
[89]
2014 | Published | Conference Paper | IST-REx-ID: 1507 | OA
Random matrices, log-gases and Hölder regularity
L. Erdös, in:, Proceedings of the International Congress of Mathematicians, International Congress of Mathematicians, 2014, pp. 214–236.
[Submitted Version] View | Download Submitted Version (ext.)
 
[88]
2014 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[87]
2014 | Published | 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.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[86]
2014 | Published | 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).
[Published Version] View | Files available | DOI
 
[85]
2014 | Published | 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).
[Published Version] View | Files available | DOI
 
[84]
2013 | Published | 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.)
 
[83]
2013 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[82]
2013 | Published | 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.
View | DOI | Download (ext.)
 
[81]
2013 | Published | 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.)
 
[80]
2013 | Published | 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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[79]
2013 | Published | 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.
[Published Version] View | Files available | DOI
 
[78]
2012 | Published | Preprint | IST-REx-ID: 2696 | OA
Universality for random matrices and log-gases
L. Erdös, ArXiv (2012).
View | Download (ext.)
 
[77]
2012 | Published | Conference Paper | IST-REx-ID: 2700 | OA
Lecture notes on quantum Brownian motion
L. Erdös, in:, Oxford University Press, 2012, pp. 3–98.
View | Download (ext.)
 
[76]
2012 | Published | 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
 
[75]
2012 | Published | 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
 
[74]
2012 | Published | 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
 
[73]
2012 | Published | 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
 
[72]
2012 | Published | 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
 
[71]
2012 | Published | 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
 
[70]
2012 | Published | 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
 
[69]
2012 | Published | 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
 
[68]
2012 | Published | 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
 
[67]
2012 | Published | 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
 
[66]
2012 | Published | 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
 
[65]
2012 | Published | 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
 
[64]
2012 | Published | 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
 
[63]
2011 | Published | 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
 
[62]
2011 | Published | 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
 
[61]
2011 | Published | 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.)
 
[60]
2011 | Published | 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
 
[59]
2010 | Published | 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.)
 
[58]
2010 | Published | 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.)
 
[57]
2010 | Published | 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
 
[56]
2010 | Published | 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
 
[55]
2010 | Published | 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
 
[54]
2010 | Published | 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 | Published | 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.)
 
[52]
2009 | Published | 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
 
[51]
2009 | Published | 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
 
[50]
2009 | Published | 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 | Published | 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
 
[48]
2008 | Published | 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.)
 
[47]
2008 | Published | 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
 
[46]
2008 | Published | 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
 
[45]
2008 | Published | 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
 
[44]
2007 | Published | 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 | Published | 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 | Published | 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
 
[41]
2007 | Published | 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
 
[40]
2007 | Published | 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 | Published | 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 | Published | 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
 
[37]
2006 | Published | 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
 
[36]
2006 | Published | 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
 
[35]
2005 | Published | 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 | Published | 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 | Published | 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
 
[32]
2004 | Published | 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
 
[31]
2004 | Published | Journal Article | IST-REx-ID: 2741
Uniform Lieb-Thirring inequality for the three-dimensional Pauli operator with a strong non-homogeneous magnetic field
L. Erdös, J. Solovej, Annales Henri Poincare 5 (2004) 671–741.
View | DOI
 
[30]
2004 | Published | 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
 
[29]
2002 | Published | Book Chapter | IST-REx-ID: 2694
Scaling limits of Schrödinger quantum mechanics
L. Erdös, in:, Dynamics of Dissipation, Springer, 2002, pp. 487–506.
View | DOI
 
[28]
2002 | Published | 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 | Published | 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 | Published | 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.
[Submitted Version] View | DOI | arXiv
 
[25]
2002 | Published | 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 | arXiv
 
[24]
2002 | Published | 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.
View | DOI
 
[23]
2001 | Published | Book Chapter | IST-REx-ID: 2709
Long time dynamics of an electron in a weakly coupled phonon field
L. Erdös, in:, 13th International Congress of Mathematical Physics, International Press of Boston, 2001, pp. 273–281.
View
 
[22]
2001 | Published | Journal Article | IST-REx-ID: 2734 | OA
The kernel of Dirac operators on S3 and R3
L. Erdös, J. Solovej, Reviews in Mathematical Physics 13 (2001) 1247–1280.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[21]
2001 | Published | Journal Article | IST-REx-ID: 2735 | OA
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.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[20]
2001 | Published | 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.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[19]
2000 | Published | Book Chapter | IST-REx-ID: 2710
The kernel of Dirac operators on S3 and R3
L. Erdös, in:, Differential Equations and Mathematical Physics, American Mathematical Society, 2000, pp. 111–119.
[Preprint] View | DOI | arXiv
 
[18]
2000 | Published | 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.
[Preprint] View | DOI | arXiv
 
[17]
2000 | Published | 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 | Published | 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 | Published | Conference Paper | IST-REx-ID: 2711
Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation
L. Erdös, in:, Proceedings of the 7th QMath Conference, World Scientific Publishing, 1999, pp. 233–242.
View | DOI
 
[14]
1999 | Published | Journal Article | IST-REx-ID: 2730
Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields, I: Nonasymptotic Lieb-Thirring-type estimate
L. Erdös, J. Solovej, Duke Mathematical Journal 96 (1999) 127–173.
View | DOI
 
[13]
1998 | Published | Book Chapter | IST-REx-ID: 2695
Linear Boltzmann equation as scaling limit of quantum Lorentz gas
L. Erdös, H. Yau, in:, Advances in Differential Equations and Mathematical Physics, American Mathematical Society, 1998, pp. 137–155.
View | DOI
 
[12]
1998 | Published | 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 | Published | 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 | Published | Journal Article | IST-REx-ID: 2729
Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic fields, II. Leading order asymptotic estimates
L. Erdös, J. Solovej, Communications in Mathematical Physics 188 (1997) 599–656.
View | DOI
 
[9]
1996 | Published | 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 | Published | 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 | Published | Conference Paper | IST-REx-ID: 2712
Magnetic Lieb-Thirring inequalities and stochastic oscillatory integrals
L. Erdös, in:, Birkhäuser, 1995, pp. 127–132.
View | DOI | Download None (ext.)
 
[6]
1995 | Published | Journal Article | IST-REx-ID: 2724
Magnetic Lieb-Thirring inequalities
L. Erdös, Communications in Mathematical Physics 170 (1995) 629–668.
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[5]
1994 | Published | Journal Article | IST-REx-ID: 2713
Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator
L. Erdös, Duke Mathematical Journal 76 (1994) 541–566.
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[4]
1993 | Published | 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.
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[3]
1992 | Published | 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.
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[2]
1992 | Published | Journal Article | IST-REx-ID: 2722 | OA
Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers
L. Erdös, D. Tuyen, Communications in Mathematical Physics 143 (1992) 451–466.
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[1]
1990 | Published | 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.
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