123 Publications

Mark all

[123]
2021 | Journal Article | IST-REx-ID: 9412 | OA
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Fluctuation around the Circular Law for Random Matrices with Real Entries.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2021. https://doi.org/10.1214/21-EJP591.
View | Files available | DOI | arXiv
 
[122]
2020 | Journal Article | IST-REx-ID: 8601 | OA
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Edge Universality for Non-Hermitian Random Matrices.” Probability Theory and Related Fields. Springer Nature, 2020. https://doi.org/10.1007/s00440-020-01003-7.
View | Files available | DOI | arXiv
 
[121]
2020 | Journal Article | IST-REx-ID: 7512 | OA
Erdös, László, Torben H Krüger, and Yuriy Nemish. “Local Laws for Polynomials of Wigner Matrices.” Journal of Functional Analysis. Elsevier, 2020. https://doi.org/10.1016/j.jfa.2020.108507.
View | DOI | Download Preprint (ext.) | arXiv
 
[120]
2020 | Journal Article | IST-REx-ID: 6184 | OA
Alt, Johannes, László Erdös, Torben H Krüger, and Dominik J Schröder. “Correlated Random Matrices: Band Rigidity and Edge Universality.” Annals of Probability. Project Euclid, 2020.
View | Files available | Download Preprint (ext.) | arXiv
 
[119]
2020 | Journal Article | IST-REx-ID: 6185 | OA
Erdös, László, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03657-4.
View | Files available | DOI | arXiv
 
[118]
2020 | Journal Article | IST-REx-ID: 6488 | OA
Cipolloni, Giorgio, and László Erdös. “Fluctuations for Differences of Linear Eigenvalue Statistics for Sample Covariance Matrices.” Random Matrices: Theory and Application. World Scientific Publishing, 2020. https://doi.org/10.1142/S2010326320500069.
View | DOI | Download Preprint (ext.) | arXiv
 
[117]
2020 | Journal Article | IST-REx-ID: 9104 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “On the Support of the Free Additive Convolution.” Journal d’Analyse Mathematique. Springer Nature, 2020. https://doi.org/10.1007/s11854-020-0135-2.
View | DOI | Download Preprint (ext.) | arXiv
 
[116]
2019 | Journal Article | IST-REx-ID: 6182 | OA
Erdös, László, Torben H Krüger, and Dominik J Schröder. “Random Matrices with Slow Correlation Decay.” Forum of Mathematics, Sigma. Cambridge University Press, 2019. https://doi.org/10.1017/fms.2019.2.
View | Files available | DOI | arXiv
 
[115]
2019 | Journal Article | IST-REx-ID: 6186 | OA
Cipolloni, Giorgio, László Erdös, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices, II: The Real Symmetric Case.” Pure and Applied Analysis . MSP, 2019. https://doi.org/10.2140/paa.2019.1.615.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[114]
2019 | Journal Article | IST-REx-ID: 6240 | OA
Alt, Johannes, László Erdös, Torben H Krüger, and Yuriy Nemish. “Location of the Spectrum of Kronecker Random Matrices.” Annales de l’institut Henri Poincare. Institut Henri Poincaré, 2019. https://doi.org/10.1214/18-AIHP894.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[113]
2019 | Journal Article | IST-REx-ID: 6511 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Single Ring Theorem on Optimal Scale.” Annals of Probability. Institute of Mathematical Statistics, 2019. https://doi.org/10.1214/18-AOP1284.
View | DOI | Download Preprint (ext.) | arXiv
 
[112]
2019 | Journal Article | IST-REx-ID: 429 | OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” Probability Theory and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0835-z.
View | Files available | DOI
 
[111]
2018 | Journal Article | IST-REx-ID: 181 | OA
Erdös, László, Torben H Krüger, and David T Renfrew. “Power Law Decay for Systems of Randomly Coupled Differential Equations.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2018. https://doi.org/10.1137/17M1143125.
View | DOI | Download Published Version (ext.) | arXiv
 
[110]
2018 | Journal Article | IST-REx-ID: 566 | OA
Alt, Johannes, László Erdös, and Torben H Krüger. “Local Inhomogeneous Circular Law.” Annals Applied Probability . Institute of Mathematical Statistics, 2018. https://doi.org/10.1214/17-AAP1302.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[109]
2018 | Journal Article | IST-REx-ID: 5971 | OA
Erdös, László, and Peter Mühlbacher. “Bounds on the Norm of Wigner-Type Random Matrices.” Random Matrices: Theory and Applications. World Scientific Publishing, 2018. https://doi.org/10.1142/s2010326319500096.
View | DOI | Download Preprint (ext.) | arXiv
 
[108]
2018 | Preprint | IST-REx-ID: 6183 | OA
Alt, Johannes, László Erdös, and Torben H Krüger. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and  Cusps.” ArXiv, n.d.
View | Files available | Download Preprint (ext.) | arXiv
 
[107]
2018 | Journal Article | IST-REx-ID: 1012 | OA
Erdös, László, and Dominik J Schröder. “Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues.” International Mathematics Research Notices. Oxford University Press, 2018. https://doi.org/10.1093/imrn/rnw330.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[106]
2017 | Journal Article | IST-REx-ID: 721 | OA
Ajanki, Oskari H, Torben H Krüger, and László Erdös. “Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half Plane.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2017. https://doi.org/10.1002/cpa.21639.
View | DOI | Download Submitted Version (ext.)
 
[105]
2017 | Journal Article | IST-REx-ID: 733 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Convergence Rate for Spectral Distribution of Addition of Random Matrices.” Advances in Mathematics. Academic Press, 2017. https://doi.org/10.1016/j.aim.2017.08.028.
View | DOI | Download Submitted Version (ext.)
 
[104]
2017 | Journal Article | IST-REx-ID: 483 | OA
Bourgade, Paul, László Erdös, Horng Yau, and Jun Yin. “Universality for a Class of Random Band Matrices.” Advances in Theoretical and Mathematical Physics. International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a5.
View | DOI | Download Submitted Version (ext.)
 
[103]
2017 | Book | IST-REx-ID: 567
Erdös, László, and Horng Yau. A Dynamical Approach to Random Matrix Theory. Vol. 28. Courant Lecture Notes. American Mathematical Society, 2017.
View
 
[102]
2017 | Journal Article | IST-REx-ID: 615 | OA
Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.” Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2017. https://doi.org/10.1214/16-AIHP765.
View | DOI | Download Submitted Version (ext.)
 
[101]
2017 | Journal Article | IST-REx-ID: 1337 | OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Universality for General Wigner-Type Matrices.” Probability Theory and Related Fields. Springer, 2017. https://doi.org/10.1007/s00440-016-0740-2.
View | Files available | DOI
 
[100]
2017 | Journal Article | IST-REx-ID: 1528 | OA
Bao, Zhigang, and László Erdös. “Delocalization for a Class of Random Block Band Matrices.” Probability Theory and Related Fields. Springer, 2017. https://doi.org/10.1007/s00440-015-0692-y.
View | Files available | DOI
 
[99]
2017 | Journal Article | IST-REx-ID: 1010 | OA
Alt, Johannes, László Erdös, and Torben H Krüger. “Local Law for Random Gram Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2017. https://doi.org/10.1214/17-EJP42.
View | Files available | DOI | arXiv
 
[98]
2017 | Journal Article | IST-REx-ID: 1144 | OA
Erdös, László, and Dominik J Schröder. “Fluctuations of Functions of Wigner Matrices.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2017. https://doi.org/10.1214/16-ECP38.
View | Files available | DOI
 
[97]
2017 | Journal Article | IST-REx-ID: 1207 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Law of Addition of Random Matrices on Optimal Scale.” Communications in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s00220-016-2805-6.
View | Files available | DOI
 
[96]
2016 | Journal Article | IST-REx-ID: 1280 | OA
Bourgade, Paul, László Erdös, Horngtzer Yau, and Jun Yin. “Fixed Energy Universality for Generalized Wigner Matrices.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2016. https://doi.org/10.1002/cpa.21624.
View | DOI | Download Preprint (ext.)
 
[95]
2016 | Journal Article | IST-REx-ID: 1434 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Stability of the Free Additive Convolution.” Journal of Functional Analysis. Academic Press, 2016. https://doi.org/10.1016/j.jfa.2016.04.006.
View | DOI | Download Preprint (ext.)
 
[94]
2016 | Journal Article | IST-REx-ID: 1489 | OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Spectral Statistics of Gaussian Matrices with Correlated Entries.” Journal of Statistical Physics. Springer, 2016. https://doi.org/10.1007/s10955-016-1479-y.
View | Files available | DOI
 
[93]
2015 | Journal Article | IST-REx-ID: 1864 | OA
Erdös, László, and Antti Knowles. “The Altshuler–Shklovskii Formulas for Random Band Matrices II: The General Case.” Annales Henri Poincare. Springer, 2015. https://doi.org/10.1007/s00023-014-0333-5.
View | DOI | Download Preprint (ext.)
 
[92]
2015 | Journal Article | IST-REx-ID: 2166 | OA
Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for Random Band Matrices I: The Unimodular Case.” Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-014-2119-5.
View | DOI | Download Preprint (ext.)
 
[91]
2015 | Journal Article | IST-REx-ID: 1508 | OA
Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and β Ensembles.” Journal of the European Mathematical Society. European Mathematical Society, 2015. https://doi.org/10.4171/JEMS/548.
View | DOI | Download Preprint (ext.)
 
[90]
2014 | Journal Article | IST-REx-ID: 2699 | OA
Erdös, László, Paul Bourgade, and Horng Yau. “Universality of General β-Ensembles.” Duke Mathematical Journal. Duke University Press, 2014. https://doi.org/10.1215/00127094-2649752.
View | DOI | Download Preprint (ext.)
 
[89]
2014 | Journal Article | IST-REx-ID: 1937 | OA
Bourgade, Paul, László Erdös, and Horngtzer Yau. “Edge Universality of Beta Ensembles.” Communications in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s00220-014-2120-z.
View | DOI | Download Submitted Version (ext.)
 
[88]
2014 | Journal Article | IST-REx-ID: 2019 | OA
Erdös, László, and Dominik J Schröder. “Phase Transition in the Density of States of Quantum Spin Glasses.” Mathematical Physics, Analysis and Geometry. Springer, 2014. https://doi.org/10.1007/s11040-014-9164-3.
View | DOI | Download Submitted Version (ext.)
 
[87]
2014 | Journal Article | IST-REx-ID: 2179 | OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Semicircle Law with Imprimitive Variance Matrix.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2014. https://doi.org/10.1214/ECP.v19-3121.
View | Files available | DOI
 
[86]
2014 | Journal Article | IST-REx-ID: 2225 | OA
Bloemendal, Alex, László Erdös, Antti Knowles, Horng Yau, and Jun Yin. “Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2014. https://doi.org/10.1214/EJP.v19-3054.
View | Files available | DOI
 
[85]
2014 | Conference Paper | IST-REx-ID: 1507 | OA
Erdös, László. “Random Matrices, Log-Gases and Hölder Regularity,” 3:214–36. Kyung Moon SA Co. Ltd., 2014.
View | Download Submitted Version (ext.)
 
[84]
2013 | Journal Article | IST-REx-ID: 2697 | OA
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Delocalization and Diffusion Profile for Random Band Matrices.” Communications in Mathematical Physics. Springer, 2013. https://doi.org/10.1007/s00220-013-1773-3.
View | DOI | Download (ext.)
 
[83]
2013 | Journal Article | IST-REx-ID: 2698 | OA
Erdös, László, Søren Fournais, and Jan Solovej. “Stability and Semiclassics in Self-Generated Fields.” Journal of the European Mathematical Society. European Mathematical Society, 2013. https://doi.org/10.4171/JEMS/416.
View | DOI | Download Preprint (ext.) | arXiv
 
[82]
2013 | Journal Article | IST-REx-ID: 2780 | OA
Erdös, László, Antti Knowles, and Horng Yau. “Averaging Fluctuations in Resolvents of Random Band Matrices.” Annales Henri Poincare. Birkhäuser, 2013. https://doi.org/10.1007/s00023-013-0235-y.
View | DOI | Download (ext.)
 
[81]
2013 | Journal Article | IST-REx-ID: 2781 | OA
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics of Erdős-Rényi Graphs I: Local Semicircle Law.” Annals of Probability. Institute of Mathematical Statistics, 2013. https://doi.org/10.1214/11-AOP734.
View | DOI | Download (ext.)
 
[80]
2013 | Journal Article | IST-REx-ID: 2782 | OA
Erdös, László, and Brendan Farrell. “Local Eigenvalue Density for General MANOVA Matrices.” Journal of Statistical Physics. Springer, 2013. https://doi.org/10.1007/s10955-013-0807-8.
View | DOI | Download Preprint (ext.) | arXiv
 
[79]
2013 | Journal Article | IST-REx-ID: 2837 | OA
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “The Local Semicircle Law for a General Class of Random Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2013. https://doi.org/10.1214/EJP.v18-2473.
View | Files available | DOI
 
[78]
2012 | Preprint | IST-REx-ID: 2696 | OA
Erdös, László. “Universality for Random Matrices and Log-Gases.” ArXiv. ArXiv, 2012.
View | Download (ext.)
 
[77]
2012 | Conference Paper | IST-REx-ID: 2700 | OA
Erdös, László. “Lecture Notes on Quantum Brownian Motion,” 95:3–98. Oxford University Press, 2012.
View | Download (ext.)
 
[76]
2012 | Journal Article | IST-REx-ID: 2767
Erdös, László, Horng Yau, and Jun Yin. “Bulk Universality for Generalized Wigner Matrices.” Probability Theory and Related Fields. Springer, 2012. https://doi.org/10.1007/s00440-011-0390-3.
View | DOI
 
[75]
2012 | Journal Article | IST-REx-ID: 2768
Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization for Random Magnetic Fields.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-011-1373-z.
View | DOI
 
[74]
2012 | Journal Article | IST-REx-ID: 2769
Erdös, László, Benjamin Schlein, Horng Yau, and Jun Yin. “The Local Relaxation Flow Approach to Universality of the Local Statistics for Random Matrices.” Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2012. https://doi.org/10.1214/10-AIHP388.
View | DOI
 
[73]
2012 | Journal Article | IST-REx-ID: 2770
Erdös, László, Horng Yau, and Jun Yin. “Rigidity of Eigenvalues of Generalized Wigner Matrices.” Advances in Mathematics. Academic Press, 2012. https://doi.org/10.1016/j.aim.2011.12.010.
View | DOI
 
[72]
2012 | Journal Article | IST-REx-ID: 2771
Erdös, László, and David Hasler. “Anderson Localization at Band Edges for Random Magnetic Fields.” Journal of Statistical Physics. Springer, 2012. https://doi.org/10.1007/s10955-012-0445-6.
View | DOI
 
[71]
2012 | Journal Article | IST-REx-ID: 2772
Erdös, László, Søren Fournais, and Jan Solovej. “Second Order Semiclassics with Self Generated Magnetic Fields.” Annales Henri Poincare. Birkhäuser, 2012. https://doi.org/10.1007/s00023-011-0150-z.
View | DOI
 
[70]
2012 | Journal Article | IST-REx-ID: 2773
Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2012. https://doi.org/10.1214/EJP.v17-1779.
View | DOI
 
[69]
2012 | Journal Article | IST-REx-ID: 2774
Erdös, László, Søren Fournais, and Jan Solovej. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1468-1.
View | DOI
 
[68]
2012 | Journal Article | IST-REx-ID: 2775
Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics of Random Matrices.” Bulletin of the American Mathematical Society. American Mathematical Society, 2012. https://doi.org/10.1090/S0273-0979-2012-01372-1.
View | DOI
 
[67]
2012 | Journal Article | IST-REx-ID: 2776
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1527-7.
View | DOI
 
[66]
2012 | Journal Article | IST-REx-ID: 2777
Erdös, László, Søren Fournais, and Jan Solovej. “Relativistic Scott Correction in Self-Generated Magnetic Fields.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3697417.
View | DOI
 
[65]
2012 | Journal Article | IST-REx-ID: 2778
Bourgade, Paul, László Erdös, and Horng Yau. “Bulk Universality of General β-Ensembles with Non-Convex Potential.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.4751478.
View | DOI
 
[64]
2012 | Journal Article | IST-REx-ID: 2779
Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” Annales Henri Poincare. Birkhäuser, 2012. https://doi.org/10.1007/s00023-012-0177-9.
View | DOI
 
[63]
2011 | Journal Article | IST-REx-ID: 2717
Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.” Communications in Mathematical Physics. Springer, 2011. https://doi.org/10.1007/s00220-011-1204-2.
View | DOI
 
[62]
2011 | Journal Article | IST-REx-ID: 2764
Erdös, László, Benjamin Schlein, and Horng Yau. “Universality of Random Matrices and Local Relaxation Flow.” Inventiones Mathematicae. Springer, 2011. https://doi.org/10.1007/s00222-010-0302-7.
View | DOI
 
[61]
2011 | Book Review | IST-REx-ID: 2765
Erdös, László. “Universality of Wigner Random Matrices: A Survey of Recent Results.” Russian Mathematical Surveys. IOP Publishing Ltd., 2011. https://doi.org/10.1070/RM2011v066n03ABEH004749.
View | DOI | Download (ext.)
 
[60]
2011 | Journal Article | IST-REx-ID: 2766
Erdös, László, and Antti Knowles. “Quantum Diffusion and Delocalization for Band Matrices with General Distribution.” Annales Henri Poincare. Birkhäuser, 2011. https://doi.org/10.1007/s00023-011-0104-5.
View | DOI
 
[59]
2010 | Journal Article | IST-REx-ID: 2701 | OA
Erdös, László, Benjamin Schlein, and Horng Yau. “Wegner Estimate and Level Repulsion for Wigner Random Matrices.” International Mathematics Research Notices. Oxford University Press, 2010. https://doi.org/10.1093/imrn/rnp136.
View | DOI | Download (ext.)
 
[58]
2010 | Journal Article | IST-REx-ID: 2704
Erdös, László, Benjamin Schlein, and Horng Yau. “Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate.” Annals of Mathematics. Princeton University Press, 2010. https://doi.org/10.4007/annals.2010.172.291.
View | DOI | Download (ext.)
 
[57]
2010 | Journal Article | IST-REx-ID: 2756
Erdös, László, and Jan Solovej. “Ground State Energy of Large Atoms in a Self-Generated Magnetic Field.” Communications in Mathematical Physics. Springer, 2010. https://doi.org/10.1007/s00220-009-0869-2.
View | DOI
 
[56]
2010 | Journal Article | IST-REx-ID: 2761
Erdös, László, José Ramírez, Benjamin Schlein, and Horng Yau. “Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2010. https://doi.org/10.1214/EJP.v15-768.
View | DOI
 
[55]
2010 | Journal Article | IST-REx-ID: 2762
Erdös, László, José Ramírez, Horng Yau, Sandrine Péché, and Benjamin Schlein. “Bulk Universality for Wigner Matrices.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2010. https://doi.org/10.1002/cpa.20317.
View | DOI
 
[54]
2010 | Journal Article | IST-REx-ID: 2763
Erdös, László, José Ramírez, Benjamin Schlein, Terence Tao, Vu Van, and Horng Yau. “Bulk Universality for Wigner Hermitian Matrices with Subexponential Decay.” Mathematical Research Letters. International Press, 2010.
View
 
[53]
2009 | Journal Article | IST-REx-ID: 2703
Erdös, László, Benjamin Schlein, and Horng Yau. “Semicircle Law on Short Scales and Delocalization of Eigenvectors for Wigner Random Matrices.” Annals of Probability. Institute of Mathematical Statistics, 2009. https://doi.org/10.1214/08-AOP421.
View | DOI | Download (ext.)
 
[52]
2009 | Journal Article | IST-REx-ID: 2757
Erdös, László, and Benjamin Schlein. “Quantum Dynamics with Mean Field Interactions: A New Approach.” Journal of Statistical Physics. Springer, 2009. https://doi.org/10.1007/s10955-008-9570-7.
View | DOI
 
[51]
2009 | Journal Article | IST-REx-ID: 2758
Erdös, László, Benjamin Schlein, and Horng Yau. “Local Semicircle Law and Complete Delocalization for Wigner Random Matrices.” Communications in Mathematical Physics. Springer, 2009. https://doi.org/10.1007/s00220-008-0636-9.
View | DOI
 
[50]
2009 | Journal Article | IST-REx-ID: 2759
Erdös, László, Alessandro Michelangeli, and Benjamin Schlein. “Dynamical Formation of Correlations in a Bose-Einstein Condensate.” Communications in Mathematical Physics. Springer, 2009. https://doi.org/10.1007/s00220-009-0828-y.
View | DOI
 
[49]
2009 | Journal Article | IST-REx-ID: 2760
Erdös, László, Benjamin Schlein, and Horng Yau. “Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential.” Journal of the American Mathematical Society. American Mathematical Society, 2009. https://doi.org/10.1090/S0894-0347-09-00635-3.
View | DOI
 
[48]
2008 | Conference Paper | IST-REx-ID: 2702 | OA
Erdös, László, Manfred Salmhofer, and Horng Yau. “Feynman Graphs and Renormalization in Quantum Diffusion,” 167–82. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812833556_0011.
View | DOI | Download (ext.)
 
[47]
2008 | Journal Article | IST-REx-ID: 2753
Erdös, László, Manfred Salmhofer, and Horng Yau. “Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit.” Acta Mathematica. Springer, 2008. https://doi.org/10.1007/s11511-008-0027-2.
View | DOI
 
[46]
2008 | Journal Article | IST-REx-ID: 2754
Adami, Riccardo, and László Erdös. “Rate of Decoherence for an Electron Weakly Coupled to a Phonon Gas.” Journal of Statistical Physics. Springer, 2008. https://doi.org/10.1007/s10955-008-9561-8.
View | DOI
 
[45]
2008 | Journal Article | IST-REx-ID: 2755
Erdös, László, Benjamin Schlein, and Horng Yau. “Ground-State Energy of a Low-Density Bose Gas: A Second-Order Upper Bound.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2008. https://doi.org/10.1103/PhysRevA.78.053627.
View | DOI
 
[44]
2007 | Book Chapter | IST-REx-ID: 2705 | OA
Erdös, László. “Recent Developments in Quantum Mechanics with Magnetic Fields.” In Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday , edited by Fritz Gesztesy, Percy Deift, Percy Galvez, Peter Perry, and Wilhelm Schlag, 76:401–28. American Mathematical Society, 2007.
View | Download (ext.)
 
[43]
2007 | Journal Article | IST-REx-ID: 2748
Erdös, László, Benjamin Schlein, and Horng Yau. “Rigorous Derivation of the Gross-Pitaevskii Equation.” Physical Review Letters. American Physical Society, 2007. https://doi.org/10.1103/PhysRevLett.98.040404.
View | DOI
 
[42]
2007 | Book Review | IST-REx-ID: 2749
Erdös, László, Benjamin Schlein, and Horng Yau. “Derivation of the Cubic Non Linear Schrödinger Equation from Quantum Dynamics of Many Body Systems.” Inventiones Mathematicae. Springer, 2007. https://doi.org/10.1007/s00222-006-0022-1.
View | DOI
 
[41]
2007 | Journal Article | IST-REx-ID: 2750
Erdös, László, Manfred Salmhofer, and Horng Yau. “Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams.” Communications in Mathematical Physics. Springer, 2007. https://doi.org/10.1007/s00220-006-0158-2.
View | DOI
 
[40]
2007 | Journal Article | IST-REx-ID: 2751
Erdös, László, Manfred Salmhofer, and Horng Yau. “Quantum Diffusion for the Anderson Model in the Scaling Limit.” Annales Henri Poincare. Birkhäuser, 2007. https://doi.org/10.1007/s00023-006-0318-0.
View | DOI
 
[39]
2007 | Journal Article | IST-REx-ID: 2752
Erdös, László, and Manfred Salmhofer. “Decay of the Fourier Transform of Surfaces with Vanishing Curvature.” Mathematische Zeitschrift. Springer, 2007. https://doi.org/10.1007/s00209-007-0125-4.
View | DOI
 
[38]
2006 | Journal Article | IST-REx-ID: 2745
Elgart, Alexander, László Erdös, Benjamin Schlein, and Horng Yau. “Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons.” Archive for Rational Mechanics and Analysis. Springer, 2006. https://doi.org/10.1007/s00205-005-0388-z.
View | DOI
 
[37]
2006 | Conference Paper | IST-REx-ID: 2746
Erdös, László, Manfred Salmhofer, and Horng Yau. “Towards the Quantum Brownian Motion,” 690:233–57. World Scientific Publishing, 2006. https://doi.org/10.1007/3-540-34273-7_18.
View | DOI
 
[36]
2006 | Journal Article | IST-REx-ID: 2747
Erdös, László, Benjamin Schlein, and Horng Yau. “Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2006. https://doi.org/10.1002/cpa.20123.
View | DOI
 
[35]
2005 | Journal Article | IST-REx-ID: 2743
Erdös, László, David Hasler, and Jan Solovej. “Existence of the D0-D4 Bound State: A Detailed Proof.” Annales Henri Poincare. Birkhäuser, 2005. https://doi.org/10.1007/s00023-005-0205-0.
View | DOI
 
[34]
2005 | Journal Article | IST-REx-ID: 2744
Eng, David, and László Erdös. “The Linear Boltzmann Equation as the Low Density Limit of a Random Schrödinger Equation.” Reviews in Mathematical Physics. World Scientific Publishing, 2005. https://doi.org/10.1142/S0129055X0500242X.
View | DOI
 
[33]
2004 | Journal Article | IST-REx-ID: 2706
Erdös, László, and Jan Solovej. “Magnetic Lieb-Thirring Inequalities with Optimal Dependence on the Field Strength.” Journal of Statistical Physics. Springer, 2004. https://doi.org/10.1023/B:JOSS.0000037216.45270.1d.
View | DOI
 
[32]
2004 | Journal Article | IST-REx-ID: 2707
Erdös, László, Manfred Salmhofer, and Horng Yau. “On the Quantum Boltzmann Equation.” Journal of Statistical Physics. Springer, 2004. https://doi.org/10.1023/B:JOSS.0000037224.56191.ed.
View | DOI
 
[31]
2004 | Journal Article | IST-REx-ID: 2741
Erdös, László, and Jan Solovej. “Uniform Lieb-Thirring Inequality for the Three-Dimensional Pauli Operator with a Strong Non-Homogeneous Magnetic Field.” Annales Henri Poincare. Birkhäuser, 2004. https://doi.org/10.1007/s00023-004-0180-x.
View | DOI
 
[30]
2004 | Journal Article | IST-REx-ID: 2742
Elgart, Alexander, László Erdös, Benjamin Schlein, and Horng Yau. “Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2004. https://doi.org/10.1016/j.matpur.2004.03.006.
View | DOI
 
[29]
2002 | Conference Paper | IST-REx-ID: 2694
Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics,” 597:487–506. Springer, 2002. https://doi.org/10.1007/3-540-46122-1_19.
View | DOI
 
[28]
2002 | Conference Paper | IST-REx-ID: 2708
Erdös, László. “Two Dimensional Pauli Operator via Scalar Potential,” 307:129–33. World Scientific Publishing, 2002. https://doi.org/10.1090/conm/307.
View | DOI
 
[27]
2002 | Journal Article | IST-REx-ID: 2737
Bardos, Claude, László Erdös, François Golse, Norbert Mauser, and Horng Yau. “Derivation of the Schrödinger-Poisson Equation from the Quantum N-Body Problem.” Comptes Rendus Mathematique. Elsevier, 2002. https://doi.org/10.1016/S1631-073X(02)02253-7.
View | DOI
 
[26]
2002 | Journal Article | IST-REx-ID: 2738
Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron Weakly Coupled to a Phonon Field.” Journal of Statistical Physics. Springer, 2002. https://doi.org/10.1023/A:1015157624384.
View | DOI
 
[25]
2002 | Journal Article | IST-REx-ID: 2739
Erdös, László, and Vitali Vougalter. “Pauli Operator and Aharonov-Casher Theorem for Measure Valued Magnetic Fields.” Communications in Mathematical Physics. Springer, 2002. https://doi.org/10.1007/s002200100585.
View | DOI
 
[24]
2002 | Journal Article | IST-REx-ID: 2740
Erdös, László. “Spectral Shift and Multiplicity of the First Eigenvalue of the Magnetic Schrödinger Operator in Two Dimensions.” Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2002. https://doi.org/10.5802/aif.1936.
View | DOI
 
[23]
2001 | Journal Article | IST-REx-ID: 2709
Erdös, László. “Long Time Dynamics of an Electron in a Weakly Coupled Phonon Field.” ICMP: International Congress on Mathematical Physics. World Scientific Publishing, 2001.
View
 
[22]
2001 | Journal Article | IST-REx-ID: 2734
Erdös, László, and Jan Solovej. “The Kernel of Dirac Operators on S3 and R3.” Reviews in Mathematical Physics. World Scientific Publishing, 2001. https://doi.org/10.1142/S0129055X01000983.
View | DOI
 
[21]
2001 | Journal Article | IST-REx-ID: 2735
Erdös, László. “Lifschitz Tail in a Magnetic Field: Coexistence of Classical and Quantum Behavior in the Borderline Case.” Probability Theory and Related Fields. Springer, 2001. https://doi.org/10.1007/PL00008803.
View | DOI
 
[20]
2001 | Journal Article | IST-REx-ID: 2736 | OA
Erdös, László, and Horng Yau. “Derivation of the Nonlinear Schrödinger Equation from a Many Body Coulomb System.” Advances in Theoretical and Mathematical Physics. International Press, 2001.
View | Download (ext.)
 
[19]
2000 | Conference Paper | IST-REx-ID: 2710
Erdös, László. “The Kernel of Dirac Operators on S3 and R3,” 16:111–19. American Mathematical Society, 2000.
View
 
[18]
2000 | Journal Article | IST-REx-ID: 2731
Erdös, László, and Horng Yau. “Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schrödinger Equation.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2000. https://doi.org/10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5.
View | DOI
 
[17]
2000 | Journal Article | IST-REx-ID: 2732
Castella, François, László Erdös, Florian Frommlet, and Peter Markowich. “Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems.” Journal of Statistical Physics. Springer, 2000. https://doi.org/10.1023/A:1018667323830.
View | DOI
 
[16]
2000 | Journal Article | IST-REx-ID: 2733
Erdös, László, Michael Loss, and Vitali Vougalter. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2000. https://doi.org/10.5802/aif.1777.
View | DOI
 
[15]
1999 | Conference Paper | IST-REx-ID: 2711
Erdös, László. “Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation,” 108:233–42. World Scientific Publishing, 1999. https://doi.org/10.1007/978-3-0348-8745-8_20.
View | DOI
 
[14]
1999 | Journal Article | IST-REx-ID: 2730
Erdös, László, and Jan Solovej. “Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong Nonhomogeneous Magnetic Fields, I: Nonasymptotic Lieb-Thirring-Type Estimate.” Duke Mathematical Journal. Duke University Press, 1999. https://doi.org/10.1215/S0012-7094-99-09604-7.
View | DOI
 
[13]
1998 | Conference Paper | IST-REx-ID: 2695
Erdös, László, and Horng Yau. “Linear Boltzmann Equation as Scaling Limit of Quantum Lorentz Gas,” 217:137–55. American Mathematical Society, 1998. https://doi.org/10.1090/conm/217.
View | DOI
 
[12]
1998 | Journal Article | IST-REx-ID: 2728
Erdös, László. “Lifschitz Tail in a Magnetic Field: The Nonclassical Regime.” Probability Theory and Related Fields. Springer, 1998. https://doi.org/10.1007/s004400050193.
View | DOI
 
[11]
1997 | Journal Article | IST-REx-ID: 2727
Erdös, László. “Dia- and Paramagnetism for Nonhomogeneous Magnetic Fields.” Journal of Mathematical Physics. American Institute of Physics, 1997. https://doi.org/10.1063/1.531909.
View | DOI
 
[10]
1997 | Journal Article | IST-REx-ID: 2729
Erdös, László, and Jan Solovej. “Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong Non-Homogeneous Magnetic Fields, II. Leading Order Asymptotic Estimates.” Communications in Mathematical Physics. Springer, 1997. https://doi.org/10.1007/s002200050181.
View | DOI
 
[9]
1996 | Journal Article | IST-REx-ID: 2725
Erdös, László. “Rayleigh-Type Isoperimetric Inequality with a Homogeneous Magnetic Field.” Calculus of Variations and Partial Differential Equations. Springer, 1996. https://doi.org/10.1007/BF01254348.
View | DOI
 
[8]
1996 | Journal Article | IST-REx-ID: 2726
Erdös, László. “Gaussian Decay of the Magnetic Eigenfunctions.” Geometric and Functional Analysis. Birkhäuser, 1996. https://doi.org/10.1007/BF02247886.
View | DOI
 
[7]
1995 | Conference Paper | IST-REx-ID: 2712
Erdös, László. “Magnetic Lieb-Thirring Inequalities and Stochastic Oscillatory Integrals,” 78:127–32. Birkhäuser, 1995. https://doi.org/10.1007/978-3-0348-9092-2_13.
View | DOI
 
[6]
1995 | Journal Article | IST-REx-ID: 2724
Erdös, László. “Magnetic Lieb-Thirring Inequalities.” Communications in Mathematical Physics. Springer, 1995. https://doi.org/10.1007/BF02099152.
View | DOI
 
[5]
1994 | Journal Article | IST-REx-ID: 2713
Erdös, László. “Estimates on Stochastic Oscillatory Integrals and on the Heat Kernel of the Magnetic Schrödinger Operator.” Duke Mathematical Journal. Duke University Press, 1994. https://doi.org/10.1215/S0012-7094-94-07619-9.
View | DOI
 
[4]
1993 | Journal Article | IST-REx-ID: 2723
Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” Letters in Mathematical Physics. Springer, 1993. https://doi.org/10.1007/BF00761110.
View | DOI
 
[3]
1992 | Journal Article | IST-REx-ID: 2714
Erdös, László. “On Some Problems of P. Turán Concerning Power Sums of Complex Numbers.” Acta Mathematica Hungarica. Springer, 1992. https://doi.org/10.1007/BF00052086.
View | DOI
 
[2]
1992 | Journal Article | IST-REx-ID: 2722
Erdös, László, and Dao Tuyen. “Central Limit Theorems for the One-Dimensional Rayleigh Gas with Semipermeable Barriers.” Communications in Mathematical Physics. Springer, 1992. https://doi.org/10.1007/BF02099260.
View | DOI
 
[1]
1990 | Journal Article | IST-REx-ID: 2721
Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh Gas with a Semipermeable Barrier.” Journal of Statistical Physics. Springer, 1990. https://doi.org/10.1007/BF01334766.
View | DOI
 

Search

Filter Publications

123 Publications

Mark all

[123]
2021 | Journal Article | IST-REx-ID: 9412 | OA
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Fluctuation around the Circular Law for Random Matrices with Real Entries.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2021. https://doi.org/10.1214/21-EJP591.
View | Files available | DOI | arXiv
 
[122]
2020 | Journal Article | IST-REx-ID: 8601 | OA
Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Edge Universality for Non-Hermitian Random Matrices.” Probability Theory and Related Fields. Springer Nature, 2020. https://doi.org/10.1007/s00440-020-01003-7.
View | Files available | DOI | arXiv
 
[121]
2020 | Journal Article | IST-REx-ID: 7512 | OA
Erdös, László, Torben H Krüger, and Yuriy Nemish. “Local Laws for Polynomials of Wigner Matrices.” Journal of Functional Analysis. Elsevier, 2020. https://doi.org/10.1016/j.jfa.2020.108507.
View | DOI | Download Preprint (ext.) | arXiv
 
[120]
2020 | Journal Article | IST-REx-ID: 6184 | OA
Alt, Johannes, László Erdös, Torben H Krüger, and Dominik J Schröder. “Correlated Random Matrices: Band Rigidity and Edge Universality.” Annals of Probability. Project Euclid, 2020.
View | Files available | Download Preprint (ext.) | arXiv
 
[119]
2020 | Journal Article | IST-REx-ID: 6185 | OA
Erdös, László, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case.” Communications in Mathematical Physics. Springer Nature, 2020. https://doi.org/10.1007/s00220-019-03657-4.
View | Files available | DOI | arXiv
 
[118]
2020 | Journal Article | IST-REx-ID: 6488 | OA
Cipolloni, Giorgio, and László Erdös. “Fluctuations for Differences of Linear Eigenvalue Statistics for Sample Covariance Matrices.” Random Matrices: Theory and Application. World Scientific Publishing, 2020. https://doi.org/10.1142/S2010326320500069.
View | DOI | Download Preprint (ext.) | arXiv
 
[117]
2020 | Journal Article | IST-REx-ID: 9104 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “On the Support of the Free Additive Convolution.” Journal d’Analyse Mathematique. Springer Nature, 2020. https://doi.org/10.1007/s11854-020-0135-2.
View | DOI | Download Preprint (ext.) | arXiv
 
[116]
2019 | Journal Article | IST-REx-ID: 6182 | OA
Erdös, László, Torben H Krüger, and Dominik J Schröder. “Random Matrices with Slow Correlation Decay.” Forum of Mathematics, Sigma. Cambridge University Press, 2019. https://doi.org/10.1017/fms.2019.2.
View | Files available | DOI | arXiv
 
[115]
2019 | Journal Article | IST-REx-ID: 6186 | OA
Cipolloni, Giorgio, László Erdös, Torben H Krüger, and Dominik J Schröder. “Cusp Universality for Random Matrices, II: The Real Symmetric Case.” Pure and Applied Analysis . MSP, 2019. https://doi.org/10.2140/paa.2019.1.615.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[114]
2019 | Journal Article | IST-REx-ID: 6240 | OA
Alt, Johannes, László Erdös, Torben H Krüger, and Yuriy Nemish. “Location of the Spectrum of Kronecker Random Matrices.” Annales de l’institut Henri Poincare. Institut Henri Poincaré, 2019. https://doi.org/10.1214/18-AIHP894.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[113]
2019 | Journal Article | IST-REx-ID: 6511 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Single Ring Theorem on Optimal Scale.” Annals of Probability. Institute of Mathematical Statistics, 2019. https://doi.org/10.1214/18-AOP1284.
View | DOI | Download Preprint (ext.) | arXiv
 
[112]
2019 | Journal Article | IST-REx-ID: 429 | OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Stability of the Matrix Dyson Equation and Random Matrices with Correlations.” Probability Theory and Related Fields. Springer, 2019. https://doi.org/10.1007/s00440-018-0835-z.
View | Files available | DOI
 
[111]
2018 | Journal Article | IST-REx-ID: 181 | OA
Erdös, László, Torben H Krüger, and David T Renfrew. “Power Law Decay for Systems of Randomly Coupled Differential Equations.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2018. https://doi.org/10.1137/17M1143125.
View | DOI | Download Published Version (ext.) | arXiv
 
[110]
2018 | Journal Article | IST-REx-ID: 566 | OA
Alt, Johannes, László Erdös, and Torben H Krüger. “Local Inhomogeneous Circular Law.” Annals Applied Probability . Institute of Mathematical Statistics, 2018. https://doi.org/10.1214/17-AAP1302.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[109]
2018 | Journal Article | IST-REx-ID: 5971 | OA
Erdös, László, and Peter Mühlbacher. “Bounds on the Norm of Wigner-Type Random Matrices.” Random Matrices: Theory and Applications. World Scientific Publishing, 2018. https://doi.org/10.1142/s2010326319500096.
View | DOI | Download Preprint (ext.) | arXiv
 
[108]
2018 | Preprint | IST-REx-ID: 6183 | OA
Alt, Johannes, László Erdös, and Torben H Krüger. “The Dyson Equation with Linear Self-Energy: Spectral Bands, Edges and  Cusps.” ArXiv, n.d.
View | Files available | Download Preprint (ext.) | arXiv
 
[107]
2018 | Journal Article | IST-REx-ID: 1012 | OA
Erdös, László, and Dominik J Schröder. “Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues.” International Mathematics Research Notices. Oxford University Press, 2018. https://doi.org/10.1093/imrn/rnw330.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[106]
2017 | Journal Article | IST-REx-ID: 721 | OA
Ajanki, Oskari H, Torben H Krüger, and László Erdös. “Singularities of Solutions to Quadratic Vector Equations on the Complex Upper Half Plane.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2017. https://doi.org/10.1002/cpa.21639.
View | DOI | Download Submitted Version (ext.)
 
[105]
2017 | Journal Article | IST-REx-ID: 733 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Convergence Rate for Spectral Distribution of Addition of Random Matrices.” Advances in Mathematics. Academic Press, 2017. https://doi.org/10.1016/j.aim.2017.08.028.
View | DOI | Download Submitted Version (ext.)
 
[104]
2017 | Journal Article | IST-REx-ID: 483 | OA
Bourgade, Paul, László Erdös, Horng Yau, and Jun Yin. “Universality for a Class of Random Band Matrices.” Advances in Theoretical and Mathematical Physics. International Press, 2017. https://doi.org/10.4310/ATMP.2017.v21.n3.a5.
View | DOI | Download Submitted Version (ext.)
 
[103]
2017 | Book | IST-REx-ID: 567
Erdös, László, and Horng Yau. A Dynamical Approach to Random Matrix Theory. Vol. 28. Courant Lecture Notes. American Mathematical Society, 2017.
View
 
[102]
2017 | Journal Article | IST-REx-ID: 615 | OA
Erdös, László, and Kevin Schnelli. “Universality for Random Matrix Flows with Time Dependent Density.” Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2017. https://doi.org/10.1214/16-AIHP765.
View | DOI | Download Submitted Version (ext.)
 
[101]
2017 | Journal Article | IST-REx-ID: 1337 | OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Universality for General Wigner-Type Matrices.” Probability Theory and Related Fields. Springer, 2017. https://doi.org/10.1007/s00440-016-0740-2.
View | Files available | DOI
 
[100]
2017 | Journal Article | IST-REx-ID: 1528 | OA
Bao, Zhigang, and László Erdös. “Delocalization for a Class of Random Block Band Matrices.” Probability Theory and Related Fields. Springer, 2017. https://doi.org/10.1007/s00440-015-0692-y.
View | Files available | DOI
 
[99]
2017 | Journal Article | IST-REx-ID: 1010 | OA
Alt, Johannes, László Erdös, and Torben H Krüger. “Local Law for Random Gram Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2017. https://doi.org/10.1214/17-EJP42.
View | Files available | DOI | arXiv
 
[98]
2017 | Journal Article | IST-REx-ID: 1144 | OA
Erdös, László, and Dominik J Schröder. “Fluctuations of Functions of Wigner Matrices.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2017. https://doi.org/10.1214/16-ECP38.
View | Files available | DOI
 
[97]
2017 | Journal Article | IST-REx-ID: 1207 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Law of Addition of Random Matrices on Optimal Scale.” Communications in Mathematical Physics. Springer, 2017. https://doi.org/10.1007/s00220-016-2805-6.
View | Files available | DOI
 
[96]
2016 | Journal Article | IST-REx-ID: 1280 | OA
Bourgade, Paul, László Erdös, Horngtzer Yau, and Jun Yin. “Fixed Energy Universality for Generalized Wigner Matrices.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2016. https://doi.org/10.1002/cpa.21624.
View | DOI | Download Preprint (ext.)
 
[95]
2016 | Journal Article | IST-REx-ID: 1434 | OA
Bao, Zhigang, László Erdös, and Kevin Schnelli. “Local Stability of the Free Additive Convolution.” Journal of Functional Analysis. Academic Press, 2016. https://doi.org/10.1016/j.jfa.2016.04.006.
View | DOI | Download Preprint (ext.)
 
[94]
2016 | Journal Article | IST-REx-ID: 1489 | OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Spectral Statistics of Gaussian Matrices with Correlated Entries.” Journal of Statistical Physics. Springer, 2016. https://doi.org/10.1007/s10955-016-1479-y.
View | Files available | DOI
 
[93]
2015 | Journal Article | IST-REx-ID: 1864 | OA
Erdös, László, and Antti Knowles. “The Altshuler–Shklovskii Formulas for Random Band Matrices II: The General Case.” Annales Henri Poincare. Springer, 2015. https://doi.org/10.1007/s00023-014-0333-5.
View | DOI | Download Preprint (ext.)
 
[92]
2015 | Journal Article | IST-REx-ID: 2166 | OA
Erdös, László, and Antti Knowles. “The Altshuler-Shklovskii Formulas for Random Band Matrices I: The Unimodular Case.” Communications in Mathematical Physics. Springer, 2015. https://doi.org/10.1007/s00220-014-2119-5.
View | DOI | Download Preprint (ext.)
 
[91]
2015 | Journal Article | IST-REx-ID: 1508 | OA
Erdös, László, and Horng Yau. “Gap Universality of Generalized Wigner and β Ensembles.” Journal of the European Mathematical Society. European Mathematical Society, 2015. https://doi.org/10.4171/JEMS/548.
View | DOI | Download Preprint (ext.)
 
[90]
2014 | Journal Article | IST-REx-ID: 2699 | OA
Erdös, László, Paul Bourgade, and Horng Yau. “Universality of General β-Ensembles.” Duke Mathematical Journal. Duke University Press, 2014. https://doi.org/10.1215/00127094-2649752.
View | DOI | Download Preprint (ext.)
 
[89]
2014 | Journal Article | IST-REx-ID: 1937 | OA
Bourgade, Paul, László Erdös, and Horngtzer Yau. “Edge Universality of Beta Ensembles.” Communications in Mathematical Physics. Springer, 2014. https://doi.org/10.1007/s00220-014-2120-z.
View | DOI | Download Submitted Version (ext.)
 
[88]
2014 | Journal Article | IST-REx-ID: 2019 | OA
Erdös, László, and Dominik J Schröder. “Phase Transition in the Density of States of Quantum Spin Glasses.” Mathematical Physics, Analysis and Geometry. Springer, 2014. https://doi.org/10.1007/s11040-014-9164-3.
View | DOI | Download Submitted Version (ext.)
 
[87]
2014 | Journal Article | IST-REx-ID: 2179 | OA
Ajanki, Oskari H, László Erdös, and Torben H Krüger. “Local Semicircle Law with Imprimitive Variance Matrix.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2014. https://doi.org/10.1214/ECP.v19-3121.
View | Files available | DOI
 
[86]
2014 | Journal Article | IST-REx-ID: 2225 | OA
Bloemendal, Alex, László Erdös, Antti Knowles, Horng Yau, and Jun Yin. “Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2014. https://doi.org/10.1214/EJP.v19-3054.
View | Files available | DOI
 
[85]
2014 | Conference Paper | IST-REx-ID: 1507 | OA
Erdös, László. “Random Matrices, Log-Gases and Hölder Regularity,” 3:214–36. Kyung Moon SA Co. Ltd., 2014.
View | Download Submitted Version (ext.)
 
[84]
2013 | Journal Article | IST-REx-ID: 2697 | OA
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Delocalization and Diffusion Profile for Random Band Matrices.” Communications in Mathematical Physics. Springer, 2013. https://doi.org/10.1007/s00220-013-1773-3.
View | DOI | Download (ext.)
 
[83]
2013 | Journal Article | IST-REx-ID: 2698 | OA
Erdös, László, Søren Fournais, and Jan Solovej. “Stability and Semiclassics in Self-Generated Fields.” Journal of the European Mathematical Society. European Mathematical Society, 2013. https://doi.org/10.4171/JEMS/416.
View | DOI | Download Preprint (ext.) | arXiv
 
[82]
2013 | Journal Article | IST-REx-ID: 2780 | OA
Erdös, László, Antti Knowles, and Horng Yau. “Averaging Fluctuations in Resolvents of Random Band Matrices.” Annales Henri Poincare. Birkhäuser, 2013. https://doi.org/10.1007/s00023-013-0235-y.
View | DOI | Download (ext.)
 
[81]
2013 | Journal Article | IST-REx-ID: 2781 | OA
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics of Erdős-Rényi Graphs I: Local Semicircle Law.” Annals of Probability. Institute of Mathematical Statistics, 2013. https://doi.org/10.1214/11-AOP734.
View | DOI | Download (ext.)
 
[80]
2013 | Journal Article | IST-REx-ID: 2782 | OA
Erdös, László, and Brendan Farrell. “Local Eigenvalue Density for General MANOVA Matrices.” Journal of Statistical Physics. Springer, 2013. https://doi.org/10.1007/s10955-013-0807-8.
View | DOI | Download Preprint (ext.) | arXiv
 
[79]
2013 | Journal Article | IST-REx-ID: 2837 | OA
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “The Local Semicircle Law for a General Class of Random Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2013. https://doi.org/10.1214/EJP.v18-2473.
View | Files available | DOI
 
[78]
2012 | Preprint | IST-REx-ID: 2696 | OA
Erdös, László. “Universality for Random Matrices and Log-Gases.” ArXiv. ArXiv, 2012.
View | Download (ext.)
 
[77]
2012 | Conference Paper | IST-REx-ID: 2700 | OA
Erdös, László. “Lecture Notes on Quantum Brownian Motion,” 95:3–98. Oxford University Press, 2012.
View | Download (ext.)
 
[76]
2012 | Journal Article | IST-REx-ID: 2767
Erdös, László, Horng Yau, and Jun Yin. “Bulk Universality for Generalized Wigner Matrices.” Probability Theory and Related Fields. Springer, 2012. https://doi.org/10.1007/s00440-011-0390-3.
View | DOI
 
[75]
2012 | Journal Article | IST-REx-ID: 2768
Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization for Random Magnetic Fields.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-011-1373-z.
View | DOI
 
[74]
2012 | Journal Article | IST-REx-ID: 2769
Erdös, László, Benjamin Schlein, Horng Yau, and Jun Yin. “The Local Relaxation Flow Approach to Universality of the Local Statistics for Random Matrices.” Annales de l’institut Henri Poincare (B) Probability and Statistics. Institute of Mathematical Statistics, 2012. https://doi.org/10.1214/10-AIHP388.
View | DOI
 
[73]
2012 | Journal Article | IST-REx-ID: 2770
Erdös, László, Horng Yau, and Jun Yin. “Rigidity of Eigenvalues of Generalized Wigner Matrices.” Advances in Mathematics. Academic Press, 2012. https://doi.org/10.1016/j.aim.2011.12.010.
View | DOI
 
[72]
2012 | Journal Article | IST-REx-ID: 2771
Erdös, László, and David Hasler. “Anderson Localization at Band Edges for Random Magnetic Fields.” Journal of Statistical Physics. Springer, 2012. https://doi.org/10.1007/s10955-012-0445-6.
View | DOI
 
[71]
2012 | Journal Article | IST-REx-ID: 2772
Erdös, László, Søren Fournais, and Jan Solovej. “Second Order Semiclassics with Self Generated Magnetic Fields.” Annales Henri Poincare. Birkhäuser, 2012. https://doi.org/10.1007/s00023-011-0150-z.
View | DOI
 
[70]
2012 | Journal Article | IST-REx-ID: 2773
Erdös, László, and Horng Yau. “A Comment on the Wigner-Dyson-Mehta Bulk Universality Conjecture for Wigner Matrices.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2012. https://doi.org/10.1214/EJP.v17-1779.
View | DOI
 
[69]
2012 | Journal Article | IST-REx-ID: 2774
Erdös, László, Søren Fournais, and Jan Solovej. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1468-1.
View | DOI
 
[68]
2012 | Journal Article | IST-REx-ID: 2775
Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics of Random Matrices.” Bulletin of the American Mathematical Society. American Mathematical Society, 2012. https://doi.org/10.1090/S0273-0979-2012-01372-1.
View | DOI
 
[67]
2012 | Journal Article | IST-REx-ID: 2776
Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues.” Communications in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1527-7.
View | DOI
 
[66]
2012 | Journal Article | IST-REx-ID: 2777
Erdös, László, Søren Fournais, and Jan Solovej. “Relativistic Scott Correction in Self-Generated Magnetic Fields.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.3697417.
View | DOI
 
[65]
2012 | Journal Article | IST-REx-ID: 2778
Bourgade, Paul, László Erdös, and Horng Yau. “Bulk Universality of General β-Ensembles with Non-Convex Potential.” Journal of Mathematical Physics. American Institute of Physics, 2012. https://doi.org/10.1063/1.4751478.
View | DOI
 
[64]
2012 | Journal Article | IST-REx-ID: 2779
Erdös, László, and David Hasler. “Wegner Estimate for Random Magnetic Laplacian on ℤ 2.” Annales Henri Poincare. Birkhäuser, 2012. https://doi.org/10.1007/s00023-012-0177-9.
View | DOI
 
[63]
2011 | Journal Article | IST-REx-ID: 2717
Erdös, László, and Antti Knowles. “Quantum Diffusion and Eigenfunction Delocalization in a Random Band Matrix Model.” Communications in Mathematical Physics. Springer, 2011. https://doi.org/10.1007/s00220-011-1204-2.
View | DOI
 
[62]
2011 | Journal Article | IST-REx-ID: 2764
Erdös, László, Benjamin Schlein, and Horng Yau. “Universality of Random Matrices and Local Relaxation Flow.” Inventiones Mathematicae. Springer, 2011. https://doi.org/10.1007/s00222-010-0302-7.
View | DOI
 
[61]
2011 | Book Review | IST-REx-ID: 2765
Erdös, László. “Universality of Wigner Random Matrices: A Survey of Recent Results.” Russian Mathematical Surveys. IOP Publishing Ltd., 2011. https://doi.org/10.1070/RM2011v066n03ABEH004749.
View | DOI | Download (ext.)
 
[60]
2011 | Journal Article | IST-REx-ID: 2766
Erdös, László, and Antti Knowles. “Quantum Diffusion and Delocalization for Band Matrices with General Distribution.” Annales Henri Poincare. Birkhäuser, 2011. https://doi.org/10.1007/s00023-011-0104-5.
View | DOI
 
[59]
2010 | Journal Article | IST-REx-ID: 2701 | OA
Erdös, László, Benjamin Schlein, and Horng Yau. “Wegner Estimate and Level Repulsion for Wigner Random Matrices.” International Mathematics Research Notices. Oxford University Press, 2010. https://doi.org/10.1093/imrn/rnp136.
View | DOI | Download (ext.)
 
[58]
2010 | Journal Article | IST-REx-ID: 2704
Erdös, László, Benjamin Schlein, and Horng Yau. “Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate.” Annals of Mathematics. Princeton University Press, 2010. https://doi.org/10.4007/annals.2010.172.291.
View | DOI | Download (ext.)
 
[57]
2010 | Journal Article | IST-REx-ID: 2756
Erdös, László, and Jan Solovej. “Ground State Energy of Large Atoms in a Self-Generated Magnetic Field.” Communications in Mathematical Physics. Springer, 2010. https://doi.org/10.1007/s00220-009-0869-2.
View | DOI
 
[56]
2010 | Journal Article | IST-REx-ID: 2761
Erdös, László, José Ramírez, Benjamin Schlein, and Horng Yau. “Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation.” Electronic Journal of Probability. Institute of Mathematical Statistics, 2010. https://doi.org/10.1214/EJP.v15-768.
View | DOI
 
[55]
2010 | Journal Article | IST-REx-ID: 2762
Erdös, László, José Ramírez, Horng Yau, Sandrine Péché, and Benjamin Schlein. “Bulk Universality for Wigner Matrices.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2010. https://doi.org/10.1002/cpa.20317.
View | DOI
 
[54]
2010 | Journal Article | IST-REx-ID: 2763
Erdös, László, José Ramírez, Benjamin Schlein, Terence Tao, Vu Van, and Horng Yau. “Bulk Universality for Wigner Hermitian Matrices with Subexponential Decay.” Mathematical Research Letters. International Press, 2010.
View
 
[53]
2009 | Journal Article | IST-REx-ID: 2703
Erdös, László, Benjamin Schlein, and Horng Yau. “Semicircle Law on Short Scales and Delocalization of Eigenvectors for Wigner Random Matrices.” Annals of Probability. Institute of Mathematical Statistics, 2009. https://doi.org/10.1214/08-AOP421.
View | DOI | Download (ext.)
 
[52]
2009 | Journal Article | IST-REx-ID: 2757
Erdös, László, and Benjamin Schlein. “Quantum Dynamics with Mean Field Interactions: A New Approach.” Journal of Statistical Physics. Springer, 2009. https://doi.org/10.1007/s10955-008-9570-7.
View | DOI
 
[51]
2009 | Journal Article | IST-REx-ID: 2758
Erdös, László, Benjamin Schlein, and Horng Yau. “Local Semicircle Law and Complete Delocalization for Wigner Random Matrices.” Communications in Mathematical Physics. Springer, 2009. https://doi.org/10.1007/s00220-008-0636-9.
View | DOI
 
[50]
2009 | Journal Article | IST-REx-ID: 2759
Erdös, László, Alessandro Michelangeli, and Benjamin Schlein. “Dynamical Formation of Correlations in a Bose-Einstein Condensate.” Communications in Mathematical Physics. Springer, 2009. https://doi.org/10.1007/s00220-009-0828-y.
View | DOI
 
[49]
2009 | Journal Article | IST-REx-ID: 2760
Erdös, László, Benjamin Schlein, and Horng Yau. “Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential.” Journal of the American Mathematical Society. American Mathematical Society, 2009. https://doi.org/10.1090/S0894-0347-09-00635-3.
View | DOI
 
[48]
2008 | Conference Paper | IST-REx-ID: 2702 | OA
Erdös, László, Manfred Salmhofer, and Horng Yau. “Feynman Graphs and Renormalization in Quantum Diffusion,” 167–82. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812833556_0011.
View | DOI | Download (ext.)
 
[47]
2008 | Journal Article | IST-REx-ID: 2753
Erdös, László, Manfred Salmhofer, and Horng Yau. “Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit.” Acta Mathematica. Springer, 2008. https://doi.org/10.1007/s11511-008-0027-2.
View | DOI
 
[46]
2008 | Journal Article | IST-REx-ID: 2754
Adami, Riccardo, and László Erdös. “Rate of Decoherence for an Electron Weakly Coupled to a Phonon Gas.” Journal of Statistical Physics. Springer, 2008. https://doi.org/10.1007/s10955-008-9561-8.
View | DOI
 
[45]
2008 | Journal Article | IST-REx-ID: 2755
Erdös, László, Benjamin Schlein, and Horng Yau. “Ground-State Energy of a Low-Density Bose Gas: A Second-Order Upper Bound.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2008. https://doi.org/10.1103/PhysRevA.78.053627.
View | DOI
 
[44]
2007 | Book Chapter | IST-REx-ID: 2705 | OA
Erdös, László. “Recent Developments in Quantum Mechanics with Magnetic Fields.” In Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday , edited by Fritz Gesztesy, Percy Deift, Percy Galvez, Peter Perry, and Wilhelm Schlag, 76:401–28. American Mathematical Society, 2007.
View | Download (ext.)
 
[43]
2007 | Journal Article | IST-REx-ID: 2748
Erdös, László, Benjamin Schlein, and Horng Yau. “Rigorous Derivation of the Gross-Pitaevskii Equation.” Physical Review Letters. American Physical Society, 2007. https://doi.org/10.1103/PhysRevLett.98.040404.
View | DOI
 
[42]
2007 | Book Review | IST-REx-ID: 2749
Erdös, László, Benjamin Schlein, and Horng Yau. “Derivation of the Cubic Non Linear Schrödinger Equation from Quantum Dynamics of Many Body Systems.” Inventiones Mathematicae. Springer, 2007. https://doi.org/10.1007/s00222-006-0022-1.
View | DOI
 
[41]
2007 | Journal Article | IST-REx-ID: 2750
Erdös, László, Manfred Salmhofer, and Horng Yau. “Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams.” Communications in Mathematical Physics. Springer, 2007. https://doi.org/10.1007/s00220-006-0158-2.
View | DOI
 
[40]
2007 | Journal Article | IST-REx-ID: 2751
Erdös, László, Manfred Salmhofer, and Horng Yau. “Quantum Diffusion for the Anderson Model in the Scaling Limit.” Annales Henri Poincare. Birkhäuser, 2007. https://doi.org/10.1007/s00023-006-0318-0.
View | DOI
 
[39]
2007 | Journal Article | IST-REx-ID: 2752
Erdös, László, and Manfred Salmhofer. “Decay of the Fourier Transform of Surfaces with Vanishing Curvature.” Mathematische Zeitschrift. Springer, 2007. https://doi.org/10.1007/s00209-007-0125-4.
View | DOI
 
[38]
2006 | Journal Article | IST-REx-ID: 2745
Elgart, Alexander, László Erdös, Benjamin Schlein, and Horng Yau. “Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons.” Archive for Rational Mechanics and Analysis. Springer, 2006. https://doi.org/10.1007/s00205-005-0388-z.
View | DOI
 
[37]
2006 | Conference Paper | IST-REx-ID: 2746
Erdös, László, Manfred Salmhofer, and Horng Yau. “Towards the Quantum Brownian Motion,” 690:233–57. World Scientific Publishing, 2006. https://doi.org/10.1007/3-540-34273-7_18.
View | DOI
 
[36]
2006 | Journal Article | IST-REx-ID: 2747
Erdös, László, Benjamin Schlein, and Horng Yau. “Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2006. https://doi.org/10.1002/cpa.20123.
View | DOI
 
[35]
2005 | Journal Article | IST-REx-ID: 2743
Erdös, László, David Hasler, and Jan Solovej. “Existence of the D0-D4 Bound State: A Detailed Proof.” Annales Henri Poincare. Birkhäuser, 2005. https://doi.org/10.1007/s00023-005-0205-0.
View | DOI
 
[34]
2005 | Journal Article | IST-REx-ID: 2744
Eng, David, and László Erdös. “The Linear Boltzmann Equation as the Low Density Limit of a Random Schrödinger Equation.” Reviews in Mathematical Physics. World Scientific Publishing, 2005. https://doi.org/10.1142/S0129055X0500242X.
View | DOI
 
[33]
2004 | Journal Article | IST-REx-ID: 2706
Erdös, László, and Jan Solovej. “Magnetic Lieb-Thirring Inequalities with Optimal Dependence on the Field Strength.” Journal of Statistical Physics. Springer, 2004. https://doi.org/10.1023/B:JOSS.0000037216.45270.1d.
View | DOI
 
[32]
2004 | Journal Article | IST-REx-ID: 2707
Erdös, László, Manfred Salmhofer, and Horng Yau. “On the Quantum Boltzmann Equation.” Journal of Statistical Physics. Springer, 2004. https://doi.org/10.1023/B:JOSS.0000037224.56191.ed.
View | DOI
 
[31]
2004 | Journal Article | IST-REx-ID: 2741
Erdös, László, and Jan Solovej. “Uniform Lieb-Thirring Inequality for the Three-Dimensional Pauli Operator with a Strong Non-Homogeneous Magnetic Field.” Annales Henri Poincare. Birkhäuser, 2004. https://doi.org/10.1007/s00023-004-0180-x.
View | DOI
 
[30]
2004 | Journal Article | IST-REx-ID: 2742
Elgart, Alexander, László Erdös, Benjamin Schlein, and Horng Yau. “Nonlinear Hartree Equation as the Mean Field Limit of Weakly Coupled Fermions.” Journal de Mathématiques Pures et Appliquées. Elsevier, 2004. https://doi.org/10.1016/j.matpur.2004.03.006.
View | DOI
 
[29]
2002 | Conference Paper | IST-REx-ID: 2694
Erdös, László. “Scaling Limits of Schrödinger Quantum Mechanics,” 597:487–506. Springer, 2002. https://doi.org/10.1007/3-540-46122-1_19.
View | DOI
 
[28]
2002 | Conference Paper | IST-REx-ID: 2708
Erdös, László. “Two Dimensional Pauli Operator via Scalar Potential,” 307:129–33. World Scientific Publishing, 2002. https://doi.org/10.1090/conm/307.
View | DOI
 
[27]
2002 | Journal Article | IST-REx-ID: 2737
Bardos, Claude, László Erdös, François Golse, Norbert Mauser, and Horng Yau. “Derivation of the Schrödinger-Poisson Equation from the Quantum N-Body Problem.” Comptes Rendus Mathematique. Elsevier, 2002. https://doi.org/10.1016/S1631-073X(02)02253-7.
View | DOI
 
[26]
2002 | Journal Article | IST-REx-ID: 2738
Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron Weakly Coupled to a Phonon Field.” Journal of Statistical Physics. Springer, 2002. https://doi.org/10.1023/A:1015157624384.
View | DOI
 
[25]
2002 | Journal Article | IST-REx-ID: 2739
Erdös, László, and Vitali Vougalter. “Pauli Operator and Aharonov-Casher Theorem for Measure Valued Magnetic Fields.” Communications in Mathematical Physics. Springer, 2002. https://doi.org/10.1007/s002200100585.
View | DOI
 
[24]
2002 | Journal Article | IST-REx-ID: 2740
Erdös, László. “Spectral Shift and Multiplicity of the First Eigenvalue of the Magnetic Schrödinger Operator in Two Dimensions.” Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2002. https://doi.org/10.5802/aif.1936.
View | DOI
 
[23]
2001 | Journal Article | IST-REx-ID: 2709
Erdös, László. “Long Time Dynamics of an Electron in a Weakly Coupled Phonon Field.” ICMP: International Congress on Mathematical Physics. World Scientific Publishing, 2001.
View
 
[22]
2001 | Journal Article | IST-REx-ID: 2734
Erdös, László, and Jan Solovej. “The Kernel of Dirac Operators on S3 and R3.” Reviews in Mathematical Physics. World Scientific Publishing, 2001. https://doi.org/10.1142/S0129055X01000983.
View | DOI
 
[21]
2001 | Journal Article | IST-REx-ID: 2735
Erdös, László. “Lifschitz Tail in a Magnetic Field: Coexistence of Classical and Quantum Behavior in the Borderline Case.” Probability Theory and Related Fields. Springer, 2001. https://doi.org/10.1007/PL00008803.
View | DOI
 
[20]
2001 | Journal Article | IST-REx-ID: 2736 | OA
Erdös, László, and Horng Yau. “Derivation of the Nonlinear Schrödinger Equation from a Many Body Coulomb System.” Advances in Theoretical and Mathematical Physics. International Press, 2001.
View | Download (ext.)
 
[19]
2000 | Conference Paper | IST-REx-ID: 2710
Erdös, László. “The Kernel of Dirac Operators on S3 and R3,” 16:111–19. American Mathematical Society, 2000.
View
 
[18]
2000 | Journal Article | IST-REx-ID: 2731
Erdös, László, and Horng Yau. “Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schrödinger Equation.” Communications on Pure and Applied Mathematics. Wiley-Blackwell, 2000. https://doi.org/10.1002/(SICI)1097-0312(200006)53:6<667::AID-CPA1>3.0.CO;2-5.
View | DOI
 
[17]
2000 | Journal Article | IST-REx-ID: 2732
Castella, François, László Erdös, Florian Frommlet, and Peter Markowich. “Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems.” Journal of Statistical Physics. Springer, 2000. https://doi.org/10.1023/A:1018667323830.
View | DOI
 
[16]
2000 | Journal Article | IST-REx-ID: 2733
Erdös, László, Michael Loss, and Vitali Vougalter. “Diamagnetic Behavior of Sums Dirichlet Eigenvalues.” Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier, 2000. https://doi.org/10.5802/aif.1777.
View | DOI
 
[15]
1999 | Conference Paper | IST-REx-ID: 2711
Erdös, László. “Linear Boltzmann Equation as the Weak Coupling Limit of the Random Schrödinger Equation,” 108:233–42. World Scientific Publishing, 1999. https://doi.org/10.1007/978-3-0348-8745-8_20.
View | DOI
 
[14]
1999 | Journal Article | IST-REx-ID: 2730
Erdös, László, and Jan Solovej. “Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong Nonhomogeneous Magnetic Fields, I: Nonasymptotic Lieb-Thirring-Type Estimate.” Duke Mathematical Journal. Duke University Press, 1999. https://doi.org/10.1215/S0012-7094-99-09604-7.
View | DOI
 
[13]
1998 | Conference Paper | IST-REx-ID: 2695
Erdös, László, and Horng Yau. “Linear Boltzmann Equation as Scaling Limit of Quantum Lorentz Gas,” 217:137–55. American Mathematical Society, 1998. https://doi.org/10.1090/conm/217.
View | DOI
 
[12]
1998 | Journal Article | IST-REx-ID: 2728
Erdös, László. “Lifschitz Tail in a Magnetic Field: The Nonclassical Regime.” Probability Theory and Related Fields. Springer, 1998. https://doi.org/10.1007/s004400050193.
View | DOI
 
[11]
1997 | Journal Article | IST-REx-ID: 2727
Erdös, László. “Dia- and Paramagnetism for Nonhomogeneous Magnetic Fields.” Journal of Mathematical Physics. American Institute of Physics, 1997. https://doi.org/10.1063/1.531909.
View | DOI
 
[10]
1997 | Journal Article | IST-REx-ID: 2729
Erdös, László, and Jan Solovej. “Semiclassical Eigenvalue Estimates for the Pauli Operator with Strong Non-Homogeneous Magnetic Fields, II. Leading Order Asymptotic Estimates.” Communications in Mathematical Physics. Springer, 1997. https://doi.org/10.1007/s002200050181.
View | DOI
 
[9]
1996 | Journal Article | IST-REx-ID: 2725
Erdös, László. “Rayleigh-Type Isoperimetric Inequality with a Homogeneous Magnetic Field.” Calculus of Variations and Partial Differential Equations. Springer, 1996. https://doi.org/10.1007/BF01254348.
View | DOI
 
[8]
1996 | Journal Article | IST-REx-ID: 2726
Erdös, László. “Gaussian Decay of the Magnetic Eigenfunctions.” Geometric and Functional Analysis. Birkhäuser, 1996. https://doi.org/10.1007/BF02247886.
View | DOI
 
[7]
1995 | Conference Paper | IST-REx-ID: 2712
Erdös, László. “Magnetic Lieb-Thirring Inequalities and Stochastic Oscillatory Integrals,” 78:127–32. Birkhäuser, 1995. https://doi.org/10.1007/978-3-0348-9092-2_13.
View | DOI
 
[6]
1995 | Journal Article | IST-REx-ID: 2724
Erdös, László. “Magnetic Lieb-Thirring Inequalities.” Communications in Mathematical Physics. Springer, 1995. https://doi.org/10.1007/BF02099152.
View | DOI
 
[5]
1994 | Journal Article | IST-REx-ID: 2713
Erdös, László. “Estimates on Stochastic Oscillatory Integrals and on the Heat Kernel of the Magnetic Schrödinger Operator.” Duke Mathematical Journal. Duke University Press, 1994. https://doi.org/10.1215/S0012-7094-94-07619-9.
View | DOI
 
[4]
1993 | Journal Article | IST-REx-ID: 2723
Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” Letters in Mathematical Physics. Springer, 1993. https://doi.org/10.1007/BF00761110.
View | DOI
 
[3]
1992 | Journal Article | IST-REx-ID: 2714
Erdös, László. “On Some Problems of P. Turán Concerning Power Sums of Complex Numbers.” Acta Mathematica Hungarica. Springer, 1992. https://doi.org/10.1007/BF00052086.
View | DOI
 
[2]
1992 | Journal Article | IST-REx-ID: 2722
Erdös, László, and Dao Tuyen. “Central Limit Theorems for the One-Dimensional Rayleigh Gas with Semipermeable Barriers.” Communications in Mathematical Physics. Springer, 1992. https://doi.org/10.1007/BF02099260.
View | DOI
 
[1]
1990 | Journal Article | IST-REx-ID: 2721
Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh Gas with a Semipermeable Barrier.” Journal of Statistical Physics. Springer, 1990. https://doi.org/10.1007/BF01334766.
View | DOI
 

Search

Filter Publications