Publications
Publications
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References
20.
László Erdős, Benjamin Schlein, Horng-Tzer Yau and Jun Yin
The local relaxation flow approach to universality of the local statistics for random matrices
Ann. Inst. Henri Poincaré Probab. Stat., 48(1):1--46
2012
19.
László Erdős, Benjamin Schlein and Horng-Tzer Yau
Universality of random matrices and local relaxation flow
Invent. Math., 185(1):75--119
2011
18.
László Erdős, José Ram\'\irez, Benjamin Schlein, Terence Tao, Van Vu and Horng-Tzer Yau
Bulk universality for Wigner Hermitian matrices with subexponential decay
Math. Res. Lett., 17(4):667--674
2010
17.
László Erdős, Sandrine Péché, José A. Ram\'\irez, Benjamin Schlein and Horng-Tzer Yau
Bulk universality for Wigner matrices
Comm. Pure Appl. Math., 63(7):895--925
2010
16.
László Erdős, Benjamin Schlein and Horng-Tzer Yau
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
Ann. of Math. (2), 172(1):291--370
2010
15.
László Erdős, José A. Ram\'\irez, Benjamin Schlein and Horng-Tzer Yau
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation
Electron. J. Probab., 15:no. 18, 526--603
2010
14.
László Erdős, Benjamin Schlein and Horng-Tzer Yau
Wegner estimate and level repulsion for Wigner random matrices
Int. Math. Res. Not. IMRN, (3):436--479
2010
13.
László Erdős, Benjamin Schlein and Horng-Tzer Yau
Local semicircle law and complete delocalization for Wigner random matrices
Comm. Math. Phys., 287(2):641--655
2009
12.
László Erdős, Benjamin Schlein and Horng-Tzer Yau
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
J. Amer. Math. Soc., 22(4):1099--1156
2009
11.
László Erdős, Benjamin Schlein and Horng-Tzer Yau
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices
Ann. Probab., 37(3):815--852
2009
10.
László Erdős, Benjamin Schlein and Horng-Tzer Yau
Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
Invent. Math., 167(3):515--614
2007
9.
László Erdős, Benjamin Schlein and Horng-Tzer Yau
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
Comm. Pure Appl. Math., 59(12):1659--1741
2006
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