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Author ID: yau.horng-tzer Recent zbMATH articles by "Yau, Horng-Tzer"
Published as: Yau, Horng-Tzer; Yau, H. T.; Yau, H.-T.
Homepage: http://www.math.harvard.edu/~htyau/
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all top 5

Co-Authors

16 single-authored
41 Erdős, László
17 Yin, Jun
14 Schlein, Benjamin
13 Bourgade, Paul
10 Knowles, Antti
10 Landim, Claudio
9 Tsai, Tai-Peng
9 Yau, Shing-Tung
8 Jerison, David S.
8 Kisin, Mark
8 Stanley, Richard Peter
8 Varadhan, S. R. Srinivasa
7 Salmhofer, Manfred
6 Bauerschmidt, Roland
6 Huang, Jiaoyang
6 Seidel, Paul
5 Olla, Stefano
5 Quastel, Jeremy
4 Fröhlich, Jürg Martin
4 Landon, Benjamin A.
4 Ramírez González, José A.
3 Esposito, Raffaele
3 Lieb, Elliott Hershel
3 Marra, Rossana
3 Nachtergaele, Bruno
2 Adhikari, Arka
2 Chayes, Jennifer Tour
2 Chen, Chiun-Chuan
2 Elgart, Alexander
2 Jensen, Leif
2 Mrowka, Tomasz S.
2 Nikula, Miika
2 Sethuraman, Sunder
2 Strain, Robert M.
1 Adler, Stephen L.
1 Aggarwal, Amol
1 Alex, Bloemendal
1 Alladi, Krishnaswami
1 Andrews, George Eyre
1 Avellaneda, Marco
1 Bardos, Claude Williams
1 Bleher, Pavel M.
1 Bloemendal, Alex
1 Brennecke, Christian
1 Brydges, David C.
1 Chai, Chingli
1 Chang, Chih-Chung
1 Chang, Sun-Yung Alice
1 Cheng, Qing-Meng
1 Conlon, Joseph G.
1 Durrett, Richard Timothy
1 Fu, Baohua
1 Funaki, Tadahisa
1 Golse, François
1 Hsu, Elton P.
1 Hu, Jiaxin
1 Janvresse, Elise
1 Ji, Lizhen
1 Lebowitz, Joel Louis
1 Lee, Ji Oon
1 Lee, Tzong-Yow
1 Lemm, Marius
1 Lin, Chang-Shou
1 Liu, Kefeng
1 Lopatto, Patrick
1 Loss, Michael
1 Lu, Shenglin
1 Luo, Feng
1 Maldacena, Juan M.
1 Mauser, Norbert Julius
1 Montgomery, Hugh Lowell
1 Odlyzko, Andrew M.
1 Os, László Erd
1 Panizo, Gonzalo
1 Péché, Sandrine
1 Puha, Amber L.
1 Schnelli, Kevin
1 Sills, Andrew V.
1 Solovej, Jan Philip
1 Sosoe, Philippe
1 Spohn, Herbert
1 Stetler, Ben
1 Stroock, Daniel W.
1 Sweet, Ted D.
1 Tao, Terence
1 Tracy, Craig Arnold
1 Uchiyama, Kôhei
1 von Soosten, Per
1 Vu, Van H.
1 Wang, Xu-Jia
1 Wei, Wun-cheng
1 Widom, Harold
1 Zhang, Wei

Publications by Year

Citations contained in zbMATH Open

107 Publications have been cited 4,137 times in 1,755 Documents Cited by Year
The Chandrasekhar theory of stellar collapse as the limit quantum mechanics. Zbl 0641.35065
Lieb, Elliott H.; Yau, Horng-Tzer
163
1987
Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017
Erdős, László; Yau, Horng-Tzer; Yin, Jun
129
2012
Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems. Zbl 1123.35066
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
128
2007
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Zbl 1204.82028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
117
2010
Relative entropy and hydrodynamics of Ginzburg-Landau models. Zbl 0725.60120
Yau, Horng-Tzer
110
1991
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Zbl 1014.81063
Erdős, László; Yau, Horng-Tzer
107
2001
Bulk universality for generalized Wigner matrices. Zbl 1277.15026
Erdős, László; Yau, Horng-Tzer; Yin, Jun
106
2012
Local semicircle law and complete delocalization for Wigner random matrices. Zbl 1186.60005
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
102
2009
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
94
2009
Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
88
2013
Universality of random matrices and local relaxation flow. Zbl 1225.15033
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
87
2011
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Zbl 1122.82018
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
84
2006
The stability and instability of relativistic matter. Zbl 0686.35099
Lieb, Elliott H.; Yau, Horng-Tzer
81
1988
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Zbl 1028.82010
Erdős, László; Yau, Horng-Tzer
80
2000
Bulk universality for Wigner matrices. Zbl 1216.15025
Erdös, László; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
80
2010
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. Zbl 1207.82031
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
77
2009
Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Zbl 0779.60078
Lu, Sheng Lin; Yau, Horng-Tzer
76
1993
Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues. Zbl 1251.05162
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
76
2012
The local semicircle law for a general class of random matrices. Zbl 1373.15053
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
69
2013
Wegner estimate and level repulsion for Wigner random matrices. Zbl 1204.15043
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
68
2010
Edge universality of beta ensembles. Zbl 1306.82010
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
67
2014
Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137
Tsai, Tai-Peng; Yau, Horng-Tzer
62
2002
Universality of general \(\beta\)-ensembles. Zbl 1298.15040
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
55
2014
The local relaxation flow approach to universality of the local statistics for random matrices. Zbl 1285.82029
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer; Yin, Jun
55
2012
Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101
Olla, S.; Varadhan, S. R. S.; Yau, H. T.
54
1993
Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations. II. Zbl 1173.35095
Chen, Chiun-Chuan; Strain, Robert M.; Tsai, Tai-Peng; Yau, Horng-Tzer
52
2009
Universality for generalized Wigner matrices with Bernoulli distribution. Zbl 1235.15029
Erdős, László; Yau, Horng-Tzer; Yin, Jun
51
2011
Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator. Zbl 0607.35083
Loss, Michael; Yau, Horng-Tzer
49
1986
Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. Zbl 1086.81035
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
48
2006
A dynamical approach to random matrix theory. Zbl 1379.15003
Erdős, László; Yau, Horng-Tzer
46
2017
Isotropic local laws for sample covariance and generalized Wigner matrices. Zbl 1288.15044
Alex, Bloemendal; Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
45
2014
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Zbl 1059.81190
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
44
2004
Grad \(\phi\) perturbations of massless Gaussian fields. Zbl 0705.60101
Brydges, David; Yau, Horng-Tzer
43
1990
Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Zbl 1154.35068
Chen, Chiun-Chuan; Strain, Robert M.; Yau, Horng-Tzer; Tsai, Tai-Peng
43
2008
Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem. Zbl 1018.81009
Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer
43
2002
Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027
Erdős, László; Ramírez, José; Schlein, Benjamin; Tao, Terence; Vu, Van; Yau, Horng-Tzer
42
2010
Fixed energy universality for generalized Wigner matrices. Zbl 1354.15025
Bourgade, Paul; Erdős, Laszlo; Yau, Horng-Tzer; Yin, Jun
42
2016
Universality of local spectral statistics of random matrices. Zbl 1263.15032
Erdős, László; Yau, Horng-Tzer
42
2012
Delocalization and diffusion profile for random band matrices. Zbl 1279.15027
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
41
2013
Averaging fluctuations in resolvents of random band matrices. Zbl 1296.15020
Erdős, László; Knowles, Antti; Yau, Horng-Tzer
40
2013
The second order upper bound for the ground energy of a Bose gas. Zbl 1200.82002
Yau, Horng-Tzer; Yin, Jun
40
2009
The eigenvector moment flow and local quantum unique ergodicity. Zbl 1379.58014
Bourgade, P.; Yau, H.-T.
40
2017
On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015
Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer
40
2002
Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120
Tsai, Tai-Peng; Yau, Horng-Tzer
38
2002
Logarithmic Sobolev inequality for some models of random walks. Zbl 0943.60062
Lee, Tzong-Yow; Yau, Horng-Tzer
36
1998
Convergence of local statistics of Dyson Brownian motion. Zbl 1378.60106
Landon, Benjamin; Yau, Horng-Tzer
36
2017
Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084
Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer
35
2000
Local circular law for random matrices. Zbl 1301.15021
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
34
2014
Bulk universality of general {\(\beta\)}-ensembles with non-convex potential. Zbl 1278.82032
Bourgade, Paul; Erdos, László; Yau, Horng-Tzer
34
2012
Fixed energy universality of Dyson Brownian motion. Zbl 1417.82019
Landon, Benjamin; Sosoe, Philippe; Yau, Horng-Tzer
34
2019
Quantum diffusion of the random Schrödinger evolution in the scaling limit. Zbl 1155.82015
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
31
2008
Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113
Tsai, Tai-Peng; Yau, Horng-Tzer
31
2002
Quantum diffusion of the random Schrödinger evolution in the scaling limit. II: The recollision diagrams. Zbl 1205.82123
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
31
2007
On the principal components of sample covariance matrices. Zbl 1339.15023
Bloemendal, Alex; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
30
2016
Local semicircle law for random regular graphs. Zbl 1372.05194
Bauerschmidt, Roland; Knowles, Antti; Yau, Horng-Tzer
30
2017
Bulk universality for deformed Wigner matrices. Zbl 1346.15037
Lee, Ji Oon; Schnelli, Kevin; Stetler, Ben; Yau, Horng-Tzer
29
2016
On the quantum Boltzmann equation. Zbl 1142.82346
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
29
2004
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Zbl 1225.15034
Erdős, László; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
29
2010
Gap universality of generalized Wigner and \(\beta\)-ensembles. Zbl 1333.15031
Erdős, László; Yau, Horng-Tzer
28
2015
Local density for two-dimensional one-component plasma. Zbl 1383.82056
Bauerschmidt, Roland; Bourgade, Paul; Nikula, Miika; Yau, Horng-Tzer
28
2017
Bulk universality of sparse random matrices. Zbl 1329.05262
Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer
26
2015
Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034
Tsai, Tai-Peng; Yau, Horng-Tzer
25
2002
Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium. Zbl 0754.76006
Chang, Chih-Chung; Yau, Horng-Tzer
25
1992
Logarithmic Sobolev inequality for generalized simple exclusion processes. Zbl 0903.60087
Yau, Horng-Tzer
24
1997
Local Kesten-McKay law for random regular graphs. Zbl 1414.05260
Bauerschmidt, Roland; Huang, Jiaoyang; Yau, Horng-Tzer
24
2019
Bulk eigenvalue statistics for random regular graphs. Zbl 1379.05098
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
23
2017
Universality for a class of random band matrices. Zbl 1381.15029
Bourgade, Paul; Erdos, Laszlo; Yau, Horng-Tzer; Yin, Jun
23
2017
The local circular law. II: The edge case. Zbl 1342.15028
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
22
2014
Logarithmic Sobolev inequality for lattice gases mixing conditions. Zbl 0864.60079
Yau, Horng-Tzer
22
1996
Random band matrices in the delocalized phase I: Quantum unique ergodicity and universality. Zbl 1446.60005
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
22
2020
Fluctuation-dissipation equation of asymmetric simple exclusion processes. Zbl 0884.60092
Landim, C.; Yau, H. T.
21
1997
Superdiffusivity of asymmetric exclusion process in dimensions one and two. Zbl 1064.60164
Landim, C.; Quastel, J.; Salmhofer, M.; Yau, H. T.
21
2004
Convection-diffusion equation with space-time ergodic random flow. Zbl 0914.60070
Landim, C.; Olla, S.; Yau, H. T.
20
1998
Lattice gases, large deviations, and the incompressible Navier-Stokes equations. Zbl 0919.35102
Quastel, J.; Yau, H.-T.
19
1998
Eigenvector statistics of sparse random matrices. Zbl 1372.05195
Bourgade, Paul; Huang, Jiaoyang; Yau, Horng-Tzer
19
2017
Diffusive limit of asymmetric simple exclusion. Zbl 0841.60082
Esposito, R.; Marra, R.; Yau, H. T.
19
1994
Relaxation to equilibrium of conservative dynamics. I: Zero-range processes. Zbl 0951.60095
Janvresse, E.; Landim, C.; Quastel, J.; Yau, H. T.
17
1999
Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems. Zbl 1022.60087
Landim, C.; Panizo, G.; Yau, H. T.
15
2002
Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089
Varadhan, S. R. S.; Yau, Horng-Tzer
15
1997
Quantum diffusion for the Anderson model in the scaling limit. Zbl 1208.82026
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
15
2007
Navier-Stokes equations for stochastic particle systems on the lattice. Zbl 0868.60079
Esposito, R.; Marra, R.; Yau, H. T.
14
1996
\((\log t)^{2/3}\) law of the two-dimensional asymmetric simple exclusion process. Zbl 1060.60099
Yau, Horng-Tzer
13
2004
Random band matrices in the delocalized phase. II: Generalized resolvent estimates. Zbl 1447.60018
Bourgade, P.; Yang, F.; Yau, H.-T.; Yin, J.
13
2019
Some properties of the diffusion coefficient for asymmetric simple exclusion processes. Zbl 0872.60078
Landim, C.; Olla, S.; Yau, H. T.
12
1996
On a classical limit of quantum theory and the nonlinear Hartree equation. Special volume of the journal Geometric and Functional Analysis. Zbl 1050.81015
Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer
12
2000
The Coulomb gas at low temperature and low density. Zbl 0682.76066
Conlon, Joseph G.; Lieb, Elliott H.; Yau, Horng-Tzer
11
1989
First order correction for the hydrodynamic limit of asymmetric simple exclusion processes in dimension \(d\geq 3\). Zbl 0866.76003
Landim, C.; Olla, S.; Yau, H. T.
10
1997
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Zbl 1245.15038
Erdős, László; Yau, Horng-Tzer
9
2012
Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs. Zbl 1440.05181
Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer
8
2020
Metastability of Ginzburg-Landau model with a conservation law. Zbl 0834.35120
Yau, Horng-Tzer
8
1994
Hydrodynamic limit for lattice gas reversible under Bernoulli measures. Zbl 0840.60091
Funaki, T.; Uchiyama, K.; Yau, H. T.
8
1996
Convergence to equilibrium of conservative particle systems on \(\mathbb Z^d\). Zbl 1015.60098
Landim, C.; Yau, H. T.
6
2003
Derivation of the Euler equations from quantum dynamics. Zbl 1079.82008
Nachtergaele, Bruno; Yau, Horng-Tzer
5
2003
Superdiffusivity of two dimensional lattice gas models. Zbl 1088.82016
Landim, Claudio; Ramírez, José A.; Yau, Horng-Tzer
5
2005
Large deviations of interacting particle systems in infinite volume. Zbl 0822.60092
Landim, Claudio; Yau, Horng-Tzer
5
1995
Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation. Zbl 0906.60076
Yau, Horng-Tzer
4
1998
Bulk diffusivity of lattice gases close to criticality. Zbl 1106.82335
Spohn, Herbert; Yau, Horng-Tzer
4
1995
GOE statistics for Lévy matrices. Zbl 07445595
Aggarwal, Amol; Lopatto, Patrick; Yau, Horng-Tzer
4
2021
On a classical limit of quantum theory and the nonlinear Hartree equation. Zbl 1071.81543
Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer
3
2000
Towards the quantum Brownian motion. Zbl 1170.82348
Os, László Erd; Salmhofer, Manfred; Yau, Horng-Tzer
3
2006
GOE statistics for Lévy matrices. Zbl 07445595
Aggarwal, Amol; Lopatto, Patrick; Yau, Horng-Tzer
4
2021
Dynamical approach to the TAP equations for the Sherrington-Kirkpatrick model. Zbl 1473.82015
Adhikari, Arka; Brennecke, Christian; von Soosten, Per; Yau, Horng-Tzer
2
2021
Random band matrices in the delocalized phase I: Quantum unique ergodicity and universality. Zbl 1446.60005
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
22
2020
Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs. Zbl 1440.05181
Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer
8
2020
Edge rigidity and universality of random regular graphs of intermediate degree. Zbl 1453.05117
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
2
2020
Fixed energy universality of Dyson Brownian motion. Zbl 1417.82019
Landon, Benjamin; Sosoe, Philippe; Yau, Horng-Tzer
34
2019
Local Kesten-McKay law for random regular graphs. Zbl 1414.05260
Bauerschmidt, Roland; Huang, Jiaoyang; Yau, Horng-Tzer
24
2019
Random band matrices in the delocalized phase. II: Generalized resolvent estimates. Zbl 1447.60018
Bourgade, P.; Yang, F.; Yau, H.-T.; Yin, J.
13
2019
The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem. Zbl 1486.82042
Bauerschmidt, Roland; Bourgade, Paul; Nikula, Miika; Yau, Horng-Tzer
3
2019
A dynamical approach to random matrix theory. Zbl 1379.15003
Erdős, László; Yau, Horng-Tzer
46
2017
The eigenvector moment flow and local quantum unique ergodicity. Zbl 1379.58014
Bourgade, P.; Yau, H.-T.
40
2017
Convergence of local statistics of Dyson Brownian motion. Zbl 1378.60106
Landon, Benjamin; Yau, Horng-Tzer
36
2017
Local semicircle law for random regular graphs. Zbl 1372.05194
Bauerschmidt, Roland; Knowles, Antti; Yau, Horng-Tzer
30
2017
Local density for two-dimensional one-component plasma. Zbl 1383.82056
Bauerschmidt, Roland; Bourgade, Paul; Nikula, Miika; Yau, Horng-Tzer
28
2017
Bulk eigenvalue statistics for random regular graphs. Zbl 1379.05098
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
23
2017
Universality for a class of random band matrices. Zbl 1381.15029
Bourgade, Paul; Erdos, Laszlo; Yau, Horng-Tzer; Yin, Jun
23
2017
Eigenvector statistics of sparse random matrices. Zbl 1372.05195
Bourgade, Paul; Huang, Jiaoyang; Yau, Horng-Tzer
19
2017
Fixed energy universality for generalized Wigner matrices. Zbl 1354.15025
Bourgade, Paul; Erdős, Laszlo; Yau, Horng-Tzer; Yin, Jun
42
2016
On the principal components of sample covariance matrices. Zbl 1339.15023
Bloemendal, Alex; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
30
2016
Bulk universality for deformed Wigner matrices. Zbl 1346.15037
Lee, Ji Oon; Schnelli, Kevin; Stetler, Ben; Yau, Horng-Tzer
29
2016
Gap universality of generalized Wigner and \(\beta\)-ensembles. Zbl 1333.15031
Erdős, László; Yau, Horng-Tzer
28
2015
Bulk universality of sparse random matrices. Zbl 1329.05262
Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer
26
2015
Edge universality of beta ensembles. Zbl 1306.82010
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
67
2014
Universality of general \(\beta\)-ensembles. Zbl 1298.15040
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
55
2014
Isotropic local laws for sample covariance and generalized Wigner matrices. Zbl 1288.15044
Alex, Bloemendal; Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
45
2014
Local circular law for random matrices. Zbl 1301.15021
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
34
2014
The local circular law. II: The edge case. Zbl 1342.15028
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
22
2014
Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
88
2013
The local semicircle law for a general class of random matrices. Zbl 1373.15053
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
69
2013
Delocalization and diffusion profile for random band matrices. Zbl 1279.15027
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
41
2013
Averaging fluctuations in resolvents of random band matrices. Zbl 1296.15020
Erdős, László; Knowles, Antti; Yau, Horng-Tzer
40
2013
Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017
Erdős, László; Yau, Horng-Tzer; Yin, Jun
129
2012
Bulk universality for generalized Wigner matrices. Zbl 1277.15026
Erdős, László; Yau, Horng-Tzer; Yin, Jun
106
2012
Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues. Zbl 1251.05162
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
76
2012
The local relaxation flow approach to universality of the local statistics for random matrices. Zbl 1285.82029
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer; Yin, Jun
55
2012
Universality of local spectral statistics of random matrices. Zbl 1263.15032
Erdős, László; Yau, Horng-Tzer
42
2012
Bulk universality of general {\(\beta\)}-ensembles with non-convex potential. Zbl 1278.82032
Bourgade, Paul; Erdos, László; Yau, Horng-Tzer
34
2012
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Zbl 1245.15038
Erdős, László; Yau, Horng-Tzer
9
2012
Universality of random matrices and local relaxation flow. Zbl 1225.15033
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
87
2011
Universality for generalized Wigner matrices with Bernoulli distribution. Zbl 1235.15029
Erdős, László; Yau, Horng-Tzer; Yin, Jun
51
2011
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Zbl 1204.82028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
117
2010
Bulk universality for Wigner matrices. Zbl 1216.15025
Erdös, László; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
80
2010
Wegner estimate and level repulsion for Wigner random matrices. Zbl 1204.15043
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
68
2010
Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027
Erdős, László; Ramírez, José; Schlein, Benjamin; Tao, Terence; Vu, Van; Yau, Horng-Tzer
42
2010
Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Zbl 1225.15034
Erdős, László; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
29
2010
Local semicircle law and complete delocalization for Wigner random matrices. Zbl 1186.60005
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
102
2009
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
94
2009
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. Zbl 1207.82031
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
77
2009
Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations. II. Zbl 1173.35095
Chen, Chiun-Chuan; Strain, Robert M.; Tsai, Tai-Peng; Yau, Horng-Tzer
52
2009
The second order upper bound for the ground energy of a Bose gas. Zbl 1200.82002
Yau, Horng-Tzer; Yin, Jun
40
2009
Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Zbl 1154.35068
Chen, Chiun-Chuan; Strain, Robert M.; Yau, Horng-Tzer; Tsai, Tai-Peng
43
2008
Quantum diffusion of the random Schrödinger evolution in the scaling limit. Zbl 1155.82015
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
31
2008
Feynman graphs and renormalization in quantum diffusion. Zbl 1170.81037
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
1
2008
Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems. Zbl 1123.35066
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
128
2007
Quantum diffusion of the random Schrödinger evolution in the scaling limit. II: The recollision diagrams. Zbl 1205.82123
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
31
2007
Quantum diffusion for the Anderson model in the scaling limit. Zbl 1208.82026
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
15
2007
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Zbl 1122.82018
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
84
2006
Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. Zbl 1086.81035
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
48
2006
Towards the quantum Brownian motion. Zbl 1170.82348
Os, László Erd; Salmhofer, Manfred; Yau, Horng-Tzer
3
2006
Superdiffusivity of two dimensional lattice gas models. Zbl 1088.82016
Landim, Claudio; Ramírez, José A.; Yau, Horng-Tzer
5
2005
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Zbl 1059.81190
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
44
2004
On the quantum Boltzmann equation. Zbl 1142.82346
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
29
2004
Superdiffusivity of asymmetric exclusion process in dimensions one and two. Zbl 1064.60164
Landim, C.; Quastel, J.; Salmhofer, M.; Yau, H. T.
21
2004
\((\log t)^{2/3}\) law of the two-dimensional asymmetric simple exclusion process. Zbl 1060.60099
Yau, Horng-Tzer
13
2004
Convergence to equilibrium of conservative particle systems on \(\mathbb Z^d\). Zbl 1015.60098
Landim, C.; Yau, H. T.
6
2003
Derivation of the Euler equations from quantum dynamics. Zbl 1079.82008
Nachtergaele, Bruno; Yau, Horng-Tzer
5
2003
Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137
Tsai, Tai-Peng; Yau, Horng-Tzer
62
2002
Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem. Zbl 1018.81009
Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer
43
2002
On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015
Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer
40
2002
Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120
Tsai, Tai-Peng; Yau, Horng-Tzer
38
2002
Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113
Tsai, Tai-Peng; Yau, Horng-Tzer
31
2002
Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034
Tsai, Tai-Peng; Yau, Horng-Tzer
25
2002
Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems. Zbl 1022.60087
Landim, C.; Panizo, G.; Yau, H. T.
15
2002
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Zbl 1014.81063
Erdős, László; Yau, Horng-Tzer
107
2001
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Zbl 1028.82010
Erdős, László; Yau, Horng-Tzer
80
2000
Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084
Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer
35
2000
On a classical limit of quantum theory and the nonlinear Hartree equation. Special volume of the journal Geometric and Functional Analysis. Zbl 1050.81015
Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer
12
2000
On a classical limit of quantum theory and the nonlinear Hartree equation. Zbl 1071.81543
Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer
3
2000
Relaxation to equilibrium of conservative dynamics. I: Zero-range processes. Zbl 0951.60095
Janvresse, E.; Landim, C.; Quastel, J.; Yau, H. T.
17
1999
Hydrodynamical scaling limits of simple exclusion models. Zbl 1069.60503
Jensen, Leif; Yau, Horng-Tzer
2
1999
Logarithmic Sobolev inequality for some models of random walks. Zbl 0943.60062
Lee, Tzong-Yow; Yau, Horng-Tzer
36
1998
Convection-diffusion equation with space-time ergodic random flow. Zbl 0914.60070
Landim, C.; Olla, S.; Yau, H. T.
20
1998
Lattice gases, large deviations, and the incompressible Navier-Stokes equations. Zbl 0919.35102
Quastel, J.; Yau, H.-T.
19
1998
Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation. Zbl 0906.60076
Yau, Horng-Tzer
4
1998
Linear Boltzmann equation as scaling limit of quantum Lorentz gas. Zbl 0894.35027
Erdős, László; Yau, Horng-Tzer
2
1998
Logarithmic Sobolev inequality for generalized simple exclusion processes. Zbl 0903.60087
Yau, Horng-Tzer
24
1997
Fluctuation-dissipation equation of asymmetric simple exclusion processes. Zbl 0884.60092
Landim, C.; Yau, H. T.
21
1997
Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089
Varadhan, S. R. S.; Yau, Horng-Tzer
15
1997
First order correction for the hydrodynamic limit of asymmetric simple exclusion processes in dimension \(d\geq 3\). Zbl 0866.76003
Landim, C.; Olla, S.; Yau, H. T.
10
1997
Logarithmic Sobolev inequality for lattice gases mixing conditions. Zbl 0864.60079
Yau, Horng-Tzer
22
1996
Navier-Stokes equations for stochastic particle systems on the lattice. Zbl 0868.60079
Esposito, R.; Marra, R.; Yau, H. T.
14
1996
Some properties of the diffusion coefficient for asymmetric simple exclusion processes. Zbl 0872.60078
Landim, C.; Olla, S.; Yau, H. T.
12
1996
Hydrodynamic limit for lattice gas reversible under Bernoulli measures. Zbl 0840.60091
Funaki, T.; Uchiyama, K.; Yau, H. T.
8
1996
Large deviations of interacting particle systems in infinite volume. Zbl 0822.60092
Landim, Claudio; Yau, Horng-Tzer
5
1995
Bulk diffusivity of lattice gases close to criticality. Zbl 1106.82335
Spohn, Herbert; Yau, Horng-Tzer
4
1995
Diffusive limit of asymmetric simple exclusion. Zbl 0841.60082
Esposito, R.; Marra, R.; Yau, H. T.
19
1994
Metastability of Ginzburg-Landau model with a conservation law. Zbl 0834.35120
Yau, Horng-Tzer
8
1994
Diffusive limit of the asymmetric simple exclusion: The Navier-Stokes correction. Zbl 0872.60093
Esposito, R.; Marra, R.; Yau, H. T.
2
1994
Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Zbl 0779.60078
Lu, Sheng Lin; Yau, Horng-Tzer
76
1993
Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101
Olla, S.; Varadhan, S. R. S.; Yau, H. T.
54
1993
...and 7 more Documents
all top 5

Cited by 1,629 Authors

64 Erdős, László
51 Yau, Horng-Tzer
46 Schlein, Benjamin
26 Solovej, Jan Philip
25 Knowles, Antti
23 Yin, Jun
22 Olla, Stefano
21 Cuccagna, Scipio
21 Seiringer, Robert
20 Landim, Claudio
20 Lee, Ji Oon
20 Phan Thành Nam
19 Lewin, Mathieu
18 Fröhlich, Jürg Martin
18 Rougerie, Nicolas
17 Chen, Thomas M.
16 Komorowski, Tomasz
16 Krüger, Torben
16 Vasseur, Alexis F.
16 Vu, Van H.
15 Lieb, Elliott Hershel
15 Schnelli, Kevin
14 Bao, Zhigang
14 Götze, Friedrich
14 Guionnet, Alice
14 Pavlović, Nataša
14 Pickl, Peter
13 Bal, Guillaume
13 Bourgade, Paul
13 Jara, Milton D.
13 Pulvirenti, Mario
13 Tao, Terence
12 Chen, Xuwen
12 Porta, Marcello
12 Spohn, Herbert
11 Bernardin, Cédric
11 Gonçalves, Patrícia C.
11 Serfaty, Sylvia
11 Sethuraman, Sunder
11 Siedentop, Heinz Karl Heinrich
10 Alt, Johannes
10 Hong, Younghun
10 Landon, Benjamin A.
10 Tikhomirov, Alexander Nikolaevich
10 Varadhan, S. R. Srinivasa
9 Benaych-Georges, Florent
9 Benedikter, Niels
9 Caputo, Pietro
9 Ding, Xiucai
9 Fournais, Søren
9 Golse, François
9 Huang, Jiaoyang
9 Lambert, Gaultier
9 Lebowitz, Joel Louis
9 Lopatto, Patrick
9 Martinelli, Fabio
9 Pan, Guangming
9 Pinaud, Olivier
9 Saint-Raymond, Laure
9 Schröder, Dominik
9 Valkó, Benedek
8 Bertini, Lorenzo Bertini
8 Castella, François
8 Cenatiempo, Serena
8 Gorin, Vadim
8 Hainzl, Christian
8 Kim, Panki
8 Lenzmann, Enno
8 Loss, Michael
8 Lu, Xuguang
8 Machedon, Matei
8 Maeda, Masaya
8 Napiórkowski, Marcin
8 Paul, Thierry
8 Petrat, Sören
8 Ryzhik, Lenya
8 Shcherbina, Tatyana
8 Sohinger, Vedran
8 Tóth, Bálint
8 Warzel, Simone
7 Bordenave, Charles
7 Brennecke, Christian
7 Chen, Zhen-Qing
7 Cipolloni, Giorgio
7 De Roeck, Wojciech
7 Esposito, Raffaele
7 Grillakis, Manoussos G.
7 He, Yukun
7 Holmer, Justin
7 Lei, Zhen
7 Luo, Tao
7 Naumov, Alekseĭ Aleksandrovich
7 Pan, Xinghong
7 Posta, Gustavo
7 Rudelson, Mark
7 Saffirio, Chiara
7 Shcherbina, Mariya
7 Sigal, Israel Michael
7 Soffer, Avraham
7 Tsai, Tai-Peng
...and 1,529 more Authors
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Cited in 250 Serials

186 Communications in Mathematical Physics
156 Journal of Statistical Physics
92 Journal of Mathematical Physics
78 The Annals of Probability
67 Probability Theory and Related Fields
49 Journal of Functional Analysis
48 Archive for Rational Mechanics and Analysis
43 Annales Henri Poincaré
33 Journal of Differential Equations
33 The Annals of Applied Probability
33 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
31 Stochastic Processes and their Applications
30 Electronic Journal of Probability
28 Communications on Pure and Applied Mathematics
27 Advances in Mathematics
26 Random Matrices: Theory and Applications
23 Communications in Partial Differential Equations
21 Letters in Mathematical Physics
20 SIAM Journal on Mathematical Analysis
19 Reviews in Mathematical Physics
16 The Annals of Statistics
16 Inventiones Mathematicae
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Calculus of Variations and Partial Differential Equations
15 Journal of Mathematical Analysis and Applications
15 Discrete and Continuous Dynamical Systems
14 Duke Mathematical Journal
14 Transactions of the American Mathematical Society
14 Journal of Theoretical Probability
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Nonlinearity
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Bernoulli
11 Bulletin of the American Mathematical Society. New Series
10 Physica D
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Séminaire Laurent Schwartz. EDP et Applications
9 Journal of Mathematical Fluid Mechanics
8 Quarterly of Applied Mathematics
8 Journal of the American Mathematical Society
8 Journal of the European Mathematical Society (JEMS)
8 Journal of Physics A: Mathematical and Theoretical
7 Journal of Computational Physics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Electronic Communications in Probability
6 Applicable Analysis
6 Acta Mathematica
6 Proceedings of the American Mathematical Society
6 Geometric and Functional Analysis. GAFA
6 Communications on Pure and Applied Analysis
6 Kinetic and Related Models
6 Annals of PDE
5 Wave Motion
5 Random Structures & Algorithms
5 Journal of Nonlinear Science
5 Potential Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
5 Mathematical Physics, Analysis and Geometry
5 Communications in Contemporary Mathematics
5 Journal of Hyperbolic Differential Equations
5 Science China. Mathematics
5 Forum of Mathematics, Sigma
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 SIAM Journal on Numerical Analysis
4 The Journal of Geometric Analysis
4 St. Petersburg Mathematical Journal
4 Doklady Mathematics
4 Annals of Mathematics. Second Series
4 Physical Review Letters
4 Journal of Statistical Mechanics: Theory and Experiment
4 Annales Henri Lebesgue
3 Advances in Applied Probability
3 Computers & Mathematics with Applications
3 Israel Journal of Mathematics
3 Journal d’Analyse Mathématique
3 Mathematical Methods in the Applied Sciences
3 Reports on Mathematical Physics
3 Theoretical and Mathematical Physics
3 Acta Applicandae Mathematicae
3 Applied Mathematics Letters
3 Proceedings of the National Academy of Sciences of the United States of America
3 Statistical Papers
3 Annales Mathématiques Blaise Pascal
3 NoDEA. Nonlinear Differential Equations and Applications
3 Bulletin des Sciences Mathématiques
3 New Journal of Physics
3 Journal of Evolution Equations
3 Stochastics and Dynamics
3 Multiscale Modeling & Simulation
3 Analysis and Applications (Singapore)
3 Oberwolfach Reports
3 Discrete and Continuous Dynamical Systems. Series S
3 Probability Surveys
3 Forum of Mathematics, Pi
3 Advances in Nonlinear Analysis
3 SN Partial Differential Equations and Applications
2 Modern Physics Letters A
2 Russian Mathematical Surveys
2 Theory of Probability and its Applications
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
...and 150 more Serials
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Cited in 52 Fields

743 Probability theory and stochastic processes (60-XX)
724 Partial differential equations (35-XX)
619 Statistical mechanics, structure of matter (82-XX)
415 Quantum theory (81-XX)
316 Linear and multilinear algebra; matrix theory (15-XX)
160 Fluid mechanics (76-XX)
95 Dynamical systems and ergodic theory (37-XX)
85 Operator theory (47-XX)
78 Combinatorics (05-XX)
66 Statistics (62-XX)
61 Functional analysis (46-XX)
39 Astronomy and astrophysics (85-XX)
38 Numerical analysis (65-XX)
29 Global analysis, analysis on manifolds (58-XX)
27 Relativity and gravitational theory (83-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
22 Real functions (26-XX)
19 Mechanics of particles and systems (70-XX)
19 Optics, electromagnetic theory (78-XX)
17 Biology and other natural sciences (92-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 Ordinary differential equations (34-XX)
14 Mechanics of deformable solids (74-XX)
13 Information and communication theory, circuits (94-XX)
10 Number theory (11-XX)
10 Measure and integration (28-XX)
10 Functions of a complex variable (30-XX)
10 Special functions (33-XX)
10 Differential geometry (53-XX)
9 Computer science (68-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Potential theory (31-XX)
7 Algebraic geometry (14-XX)
7 Approximations and expansions (41-XX)
7 Integral equations (45-XX)
7 Systems theory; control (93-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 General and overarching topics; collections (00-XX)
4 Difference and functional equations (39-XX)
4 Geophysics (86-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Operations research, mathematical programming (90-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 Manifolds and cell complexes (57-XX)
1 Group theory and generalizations (20-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

Citations by Year

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