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Yau, Horng-Tzer

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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/
External Links: MGP · Wikidata · GND
Documents Indexed: 131 Publications since 1986, including 9 Books

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 3,654 times in 1,554 Documents Cited by Year
The Chandrasekhar theory of stellar collapse as the limit quantum mechanics. Zbl 0641.35065
Lieb, Elliott H.; Yau, Horng-Tzer
138
1987
Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems. Zbl 1123.35066
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
114
2007
Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017
Erdős, László; Yau, Horng-Tzer; Yin, Jun
110
2012
Relative entropy and hydrodynamics of Ginzburg-Landau models. Zbl 0725.60120
Yau, Horng-Tzer
105
1991
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Zbl 1204.82028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
99
2010
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Zbl 1014.81063
Erdős, László; Yau, Horng-Tzer
97
2001
Bulk universality for generalized Wigner matrices. Zbl 1277.15026
Erdős, László; Yau, Horng-Tzer; Yin, Jun
95
2012
Local semicircle law and complete delocalization for Wigner random matrices. Zbl 1186.60005
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
91
2009
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
89
2009
Universality of random matrices and local relaxation flow. Zbl 1225.15033
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
78
2011
The stability and instability of relativistic matter. Zbl 0686.35099
Lieb, Elliott H.; Yau, Horng-Tzer
77
1988
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Zbl 1028.82010
Erdős, László; Yau, Horng-Tzer
75
2000
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Zbl 1122.82018
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
73
2006
Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Zbl 0779.60078
Lu, Sheng Lin; Yau, Horng-Tzer
72
1993
Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
72
2013
Bulk universality for Wigner matrices. Zbl 1216.15025
Erdös, László; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
71
2010
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
68
2012
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. Zbl 1207.82031
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
65
2009
Wegner estimate and level repulsion for Wigner random matrices. Zbl 1204.15043
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
62
2010
The local semicircle law for a general class of random matrices. Zbl 1373.15053
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
61
2013
Edge universality of beta ensembles. Zbl 1306.82010
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
58
2014
Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137
Tsai, Tai-Peng; Yau, Horng-Tzer
57
2002
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
52
2012
Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101
Olla, S.; Varadhan, S. R. S.; Yau, H. T.
50
1993
Universality of general \(\beta\)-ensembles. Zbl 1298.15040
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
50
2014
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
Universality for generalized Wigner matrices with Bernoulli distribution. Zbl 1235.15029
Erdős, László; Yau, Horng-Tzer; Yin, Jun
47
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
47
1986
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
42
2009
Grad \(\phi\) perturbations of massless Gaussian fields. Zbl 0705.60101
Brydges, David; Yau, Horng-Tzer
41
1990
Universality of local spectral statistics of random matrices. Zbl 1263.15032
Erdős, László; Yau, Horng-Tzer
40
2012
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
38
2010
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
38
2002
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Zbl 1059.81190
Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
37
2004
Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120
Tsai, Tai-Peng; Yau, Horng-Tzer
37
2002
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
35
2008
On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015
Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer
35
2002
Isotropic local laws for sample covariance and generalized Wigner matrices. Zbl 1288.15044
Alex, Bloemendal; Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
35
2014
Fixed energy universality for generalized Wigner matrices. Zbl 1354.15025
Bourgade, Paul; Erdős, Laszlo; Yau, Horng-Tzer; Yin, Jun
35
2016
Delocalization and diffusion profile for random band matrices. Zbl 1279.15027
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
35
2013
The second order upper bound for the ground energy of a Bose gas. Zbl 1200.82002
Yau, Horng-Tzer; Yin, Jun
34
2009
Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084
Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer
34
2000
A dynamical approach to random matrix theory. Zbl 1379.15003
Erdős, László; Yau, Horng-Tzer
34
2017
The eigenvector moment flow and local quantum unique ergodicity. Zbl 1379.58014
Bourgade, P.; Yau, H.-T.
33
2017
Convergence of local statistics of Dyson Brownian motion. Zbl 1378.60106
Landon, Benjamin; Yau, Horng-Tzer
32
2017
Averaging fluctuations in resolvents of random band matrices. Zbl 1296.15020
Erdős, László; Knowles, Antti; Yau, Horng-Tzer
32
2013
Bulk universality of general {\(\beta\)}-ensembles with non-convex potential. Zbl 1278.82032
Bourgade, Paul; Erdos, László; Yau, Horng-Tzer
32
2012
Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113
Tsai, Tai-Peng; Yau, Horng-Tzer
30
2002
Logarithmic Sobolev inequality for some models of random walks. Zbl 0943.60062
Lee, Tzong-Yow; Yau, Horng-Tzer
29
1998
Local circular law for random matrices. Zbl 1301.15021
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
29
2014
Quantum diffusion of the random Schrödinger evolution in the scaling limit. Zbl 1155.82015
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
27
2008
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
27
2010
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
27
2007
Bulk universality for deformed Wigner matrices. Zbl 1346.15037
Lee, Ji Oon; Schnelli, Kevin; Stetler, Ben; Yau, Horng-Tzer
27
2016
On the quantum Boltzmann equation. Zbl 1142.82346
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
26
2004
Fixed energy universality of Dyson Brownian motion. Zbl 1417.82019
Landon, Benjamin; Sosoe, Philippe; Yau, Horng-Tzer
25
2019
Local semicircle law for random regular graphs. Zbl 1372.05194
Bauerschmidt, Roland; Knowles, Antti; Yau, Horng-Tzer
25
2017
Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium. Zbl 0754.76006
Chang, Chih-Chung; Yau, Horng-Tzer
24
1992
Local density for two-dimensional one-component plasma. Zbl 1383.82056
Bauerschmidt, Roland; Bourgade, Paul; Nikula, Miika; Yau, Horng-Tzer
24
2017
Logarithmic Sobolev inequality for lattice gases mixing conditions. Zbl 0864.60079
Yau, Horng-Tzer
23
1996
Gap universality of generalized Wigner and \(\beta\)-ensembles. Zbl 1333.15031
Erdős, László; Yau, Horng-Tzer
23
2015
On the principal components of sample covariance matrices. Zbl 1339.15023
Bloemendal, Alex; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
23
2016
Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034
Tsai, Tai-Peng; Yau, Horng-Tzer
22
2002
Bulk universality of sparse random matrices. Zbl 1329.05262
Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer
22
2015
Bulk eigenvalue statistics for random regular graphs. Zbl 1379.05098
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
22
2017
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.
20
2004
Diffusive limit of asymmetric simple exclusion. Zbl 0841.60082
Esposito, R.; Marra, R.; Yau, H. T.
19
1994
Lattice gases, large deviations, and the incompressible Navier-Stokes equations. Zbl 0919.35102
Quastel, J.; Yau, H.-T.
19
1998
The local circular law. II: The edge case. Zbl 1342.15028
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
19
2014
Universality for a class of random band matrices. Zbl 1381.15029
Bourgade, Paul; Erdos, Laszlo; Yau, Horng-Tzer; Yin, Jun
19
2017
Local Kesten-McKay law for random regular graphs. Zbl 1414.05260
Bauerschmidt, Roland; Huang, Jiaoyang; Yau, Horng-Tzer
18
2019
Logarithmic Sobolev inequality for generalized simple exclusion processes. Zbl 0903.60087
Yau, Horng-Tzer
18
1997
Convection-diffusion equation with space-time ergodic random flow. Zbl 0914.60070
Landim, C.; Olla, S.; Yau, H. T.
18
1998
Relaxation to equilibrium of conservative dynamics. I: Zero-range processes. Zbl 0951.60095
Janvresse, E.; Landim, C.; Quastel, J.; Yau, H. T.
15
1999
Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089
Varadhan, S. R. S.; Yau, Horng-Tzer
15
1997
Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems. Zbl 1022.60087
Landim, C.; Panizo, G.; Yau, H. T.
15
2002
Navier-Stokes equations for stochastic particle systems on the lattice. Zbl 0868.60079
Esposito, R.; Marra, R.; Yau, H. T.
14
1996
Quantum diffusion for the Anderson model in the scaling limit. Zbl 1208.82026
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
14
2007
\((\log t)^{2/3}\) law of the two-dimensional asymmetric simple exclusion process. Zbl 1060.60099
Yau, Horng-Tzer
13
2004
Eigenvector statistics of sparse random matrices. Zbl 1372.05195
Bourgade, Paul; Huang, Jiaoyang; Yau, Horng-Tzer
13
2017
Some properties of the diffusion coefficient for asymmetric simple exclusion processes. Zbl 0872.60078
Landim, C.; Olla, S.; Yau, H. T.
12
1996
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
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
10
2000
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Zbl 1245.15038
Erdős, László; Yau, Horng-Tzer
9
2012
Random band matrices in the delocalized phase I: Quantum unique ergodicity and universality. Zbl 1446.60005
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
9
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.
7
1996
Convergence to equilibrium of conservative particle systems on \(\mathbb Z^d\). Zbl 1015.60098
Landim, C.; Yau, H. T.
6
2003
Random band matrices in the delocalized phase. II: Generalized resolvent estimates. Zbl 1447.60018
Bourgade, P.; Yang, F.; Yau, H.-T.; Yin, J.
6
2019
Large deviations of interacting particle systems in infinite volume. Zbl 0822.60092
Landim, Claudio; Yau, Horng-Tzer
5
1995
Superdiffusivity of two dimensional lattice gas models. Zbl 1088.82016
Landim, Claudio; Ramírez, José A.; Yau, Horng-Tzer
5
2005
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
5
2020
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
Towards the quantum Brownian motion. Zbl 1170.82348
Os, László Erd; Salmhofer, Manfred; Yau, Horng-Tzer
3
2006
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
Derivation of the Euler equations from quantum dynamics. Zbl 1079.82008
Nachtergaele, Bruno; Yau, Horng-Tzer
3
2003
Diffusive limit of the asymmetric simple exclusion: The Navier-Stokes correction. Zbl 0872.60093
Esposito, R.; Marra, R.; Yau, H. T.
2
1994
Random band matrices in the delocalized phase I: Quantum unique ergodicity and universality. Zbl 1446.60005
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
9
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
5
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
25
2019
Local Kesten-McKay law for random regular graphs. Zbl 1414.05260
Bauerschmidt, Roland; Huang, Jiaoyang; Yau, Horng-Tzer
18
2019
Random band matrices in the delocalized phase. II: Generalized resolvent estimates. Zbl 1447.60018
Bourgade, P.; Yang, F.; Yau, H.-T.; Yin, J.
6
2019
A dynamical approach to random matrix theory. Zbl 1379.15003
Erdős, László; Yau, Horng-Tzer
34
2017
The eigenvector moment flow and local quantum unique ergodicity. Zbl 1379.58014
Bourgade, P.; Yau, H.-T.
33
2017
Convergence of local statistics of Dyson Brownian motion. Zbl 1378.60106
Landon, Benjamin; Yau, Horng-Tzer
32
2017
Local semicircle law for random regular graphs. Zbl 1372.05194
Bauerschmidt, Roland; Knowles, Antti; Yau, Horng-Tzer
25
2017
Local density for two-dimensional one-component plasma. Zbl 1383.82056
Bauerschmidt, Roland; Bourgade, Paul; Nikula, Miika; Yau, Horng-Tzer
24
2017
Bulk eigenvalue statistics for random regular graphs. Zbl 1379.05098
Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer
22
2017
Universality for a class of random band matrices. Zbl 1381.15029
Bourgade, Paul; Erdos, Laszlo; Yau, Horng-Tzer; Yin, Jun
19
2017
Eigenvector statistics of sparse random matrices. Zbl 1372.05195
Bourgade, Paul; Huang, Jiaoyang; Yau, Horng-Tzer
13
2017
Fixed energy universality for generalized Wigner matrices. Zbl 1354.15025
Bourgade, Paul; Erdős, Laszlo; Yau, Horng-Tzer; Yin, Jun
35
2016
Bulk universality for deformed Wigner matrices. Zbl 1346.15037
Lee, Ji Oon; Schnelli, Kevin; Stetler, Ben; Yau, Horng-Tzer
27
2016
On the principal components of sample covariance matrices. Zbl 1339.15023
Bloemendal, Alex; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
23
2016
Gap universality of generalized Wigner and \(\beta\)-ensembles. Zbl 1333.15031
Erdős, László; Yau, Horng-Tzer
23
2015
Bulk universality of sparse random matrices. Zbl 1329.05262
Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer
22
2015
Edge universality of beta ensembles. Zbl 1306.82010
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
58
2014
Universality of general \(\beta\)-ensembles. Zbl 1298.15040
Bourgade, Paul; Erdös, László; Yau, Horng-Tzer
50
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
35
2014
Local circular law for random matrices. Zbl 1301.15021
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
29
2014
The local circular law. II: The edge case. Zbl 1342.15028
Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun
19
2014
Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
72
2013
The local semicircle law for a general class of random matrices. Zbl 1373.15053
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
61
2013
Delocalization and diffusion profile for random band matrices. Zbl 1279.15027
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun
35
2013
Averaging fluctuations in resolvents of random band matrices. Zbl 1296.15020
Erdős, László; Knowles, Antti; Yau, Horng-Tzer
32
2013
Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017
Erdős, László; Yau, Horng-Tzer; Yin, Jun
110
2012
Bulk universality for generalized Wigner matrices. Zbl 1277.15026
Erdős, László; Yau, Horng-Tzer; Yin, Jun
95
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
68
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
52
2012
Universality of local spectral statistics of random matrices. Zbl 1263.15032
Erdős, László; Yau, Horng-Tzer
40
2012
Bulk universality of general {\(\beta\)}-ensembles with non-convex potential. Zbl 1278.82032
Bourgade, Paul; Erdos, László; Yau, Horng-Tzer
32
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
78
2011
Universality for generalized Wigner matrices with Bernoulli distribution. Zbl 1235.15029
Erdős, László; Yau, Horng-Tzer; Yin, Jun
47
2011
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Zbl 1204.82028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
99
2010
Bulk universality for Wigner matrices. Zbl 1216.15025
Erdös, László; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer
71
2010
Wegner estimate and level repulsion for Wigner random matrices. Zbl 1204.15043
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
62
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
38
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
27
2010
Local semicircle law and complete delocalization for Wigner random matrices. Zbl 1186.60005
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
91
2009
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
89
2009
Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. Zbl 1207.82031
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
65
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
42
2009
The second order upper bound for the ground energy of a Bose gas. Zbl 1200.82002
Yau, Horng-Tzer; Yin, Jun
34
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
35
2008
Quantum diffusion of the random Schrödinger evolution in the scaling limit. Zbl 1155.82015
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
27
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
114
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
27
2007
Quantum diffusion for the Anderson model in the scaling limit. Zbl 1208.82026
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
14
2007
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Zbl 1122.82018
Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer
73
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
37
2004
On the quantum Boltzmann equation. Zbl 1142.82346
Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer
26
2004
Superdiffusivity of asymmetric exclusion process in dimensions one and two. Zbl 1064.60164
Landim, C.; Quastel, J.; Salmhofer, M.; Yau, H. T.
20
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
3
2003
Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137
Tsai, Tai-Peng; Yau, Horng-Tzer
57
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
38
2002
Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120
Tsai, Tai-Peng; Yau, Horng-Tzer
37
2002
On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015
Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer
35
2002
Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113
Tsai, Tai-Peng; Yau, Horng-Tzer
30
2002
Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034
Tsai, Tai-Peng; Yau, Horng-Tzer
22
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
97
2001
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Zbl 1028.82010
Erdős, László; Yau, Horng-Tzer
75
2000
Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084
Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer
34
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
10
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.
15
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
29
1998
Lattice gases, large deviations, and the incompressible Navier-Stokes equations. Zbl 0919.35102
Quastel, J.; Yau, H.-T.
19
1998
Convection-diffusion equation with space-time ergodic random flow. Zbl 0914.60070
Landim, C.; Olla, S.; Yau, H. T.
18
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
Fluctuation-dissipation equation of asymmetric simple exclusion processes. Zbl 0884.60092
Landim, C.; Yau, H. T.
21
1997
Logarithmic Sobolev inequality for generalized simple exclusion processes. Zbl 0903.60087
Yau, Horng-Tzer
18
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
23
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.
7
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
72
1993
Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101
Olla, S.; Varadhan, S. R. S.; Yau, H. T.
50
1993
Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium. Zbl 0754.76006
Chang, Chih-Chung; Yau, Horng-Tzer
24
1992
Relative entropy and hydrodynamics of Ginzburg-Landau models. Zbl 0725.60120
Yau, Horng-Tzer
105
1991
Grad \(\phi\) perturbations of massless Gaussian fields. Zbl 0705.60101
Brydges, David; Yau, Horng-Tzer
41
1990
...and 4 more Documents
all top 5

Cited by 1,453 Authors

60 Erdős, László
50 Yau, Horng-Tzer
40 Schlein, Benjamin
26 Solovej, Jan Philip
23 Knowles, Antti
23 Yin, Jun
21 Olla, Stefano
20 Landim, Claudio
19 Lee, Ji Oon
19 Lewin, Mathieu
18 Cuccagna, Scipio
18 Fröhlich, Jürg Martin
18 Phan Thành Nam
18 Seiringer, Robert
17 Chen, Thomas M.
16 Komorowski, Tomasz
16 Rougerie, Nicolas
16 Vasseur, Alexis F.
14 Guionnet, Alice
14 Krüger, Torben
14 Lieb, Elliott H.
14 Pickl, Peter
14 Schnelli, Kevin
14 Vu, Van H.
13 Bal, Guillaume
13 Jara, Milton D.
13 Pavlović, Nataša
13 Pulvirenti, Mario
12 Bao, Zhigang
12 Götze, Friedrich W.
12 Spohn, Herbert
12 Tao, Terence
11 Bernardin, Cédric
11 Bourgade, Paul
11 Serfaty, Sylvia
11 Sethuraman, Sunder
10 Gonçalves, Patrícia C.
10 Porta, Marcello
10 Siedentop, Heinz Karl Heinrich
10 Varadhan, S. R. Srinivasa
9 Chen, Xuwen
9 Lambert, Gaultier
9 Lebowitz, Joel Louis
9 Martinelli, Fabio
9 Pan, Guangming
9 Saint-Raymond, Laure
9 Tikhomirov, Alexander Nikolaevich
9 Valkó, Benedek
8 Benaych-Georges, Florent
8 Caputo, Pietro
8 Castella, François
8 Fournais, Søren
8 Golse, François
8 Hainzl, Christian
8 Hong, Younghun
8 Huang, Jiaoyang
8 Kim, Panki
8 Landon, Benjamin
8 Lenzmann, Enno
8 Lu, Xuguang
8 Machedon, Matei
8 Napiórkowski, Marcin
8 Paul, Thierry
8 Petrat, Sören
8 Pinaud, Olivier
8 Ryzhik, Lenya
8 Tóth, Bálint
7 Alt, Johannes
7 Benedikter, Niels
7 Bertini, Lorenzo Bertini
7 Cenatiempo, Serena
7 Chen, Zhen-Qing
7 De Roeck, Wojciech
7 Esposito, Raffaele
7 Gorin, Vadim
7 Grillakis, Manoussos G.
7 Loss, Michael
7 Luo, Tao
7 Naumov, Alekseĭ Aleksandrovich
7 Rudelson, Mark
7 Saffirio, Chiara
7 Shcherbina, Mariya
7 Shcherbina, Tatyana
7 Sigal, Israel Michael
7 Soffer, Avraham
7 Sohinger, Vedran
7 Warzel, Simone
7 Zegarlinski, Boguslaw
6 Bai, Zhi-Dong
6 Bordenave, Charles
6 Cook, Nicholas A.
6 Dimock, Jonathan
6 Ding, Xiucai
6 He, Yukun
6 Lei, Zhen
6 Lukkarinen, Jani
6 Pan, Xinghong
6 Péché, Sandrine
6 Posta, Gustavo
6 Quastel, Jeremy
...and 1,353 more Authors
all top 5

Cited in 228 Serials

176 Communications in Mathematical Physics
145 Journal of Statistical Physics
89 Journal of Mathematical Physics
75 The Annals of Probability
63 Probability Theory and Related Fields
46 Archive for Rational Mechanics and Analysis
45 Journal of Functional Analysis
35 Annales Henri Poincaré
32 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
29 Stochastic Processes and their Applications
28 Communications on Pure and Applied Mathematics
28 The Annals of Applied Probability
25 Journal of Differential Equations
23 Advances in Mathematics
22 Electronic Journal of Probability
21 Communications in Partial Differential Equations
20 Letters in Mathematical Physics
19 Random Matrices: Theory and Applications
17 Reviews in Mathematical Physics
16 SIAM Journal on Mathematical Analysis
15 Calculus of Variations and Partial Differential Equations
14 Journal of Mathematical Analysis and Applications
14 The Annals of Statistics
14 Inventiones Mathematicae
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Transactions of the American Mathematical Society
13 Journal of Theoretical Probability
13 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Nonlinearity
11 Duke Mathematical Journal
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Discrete and Continuous Dynamical Systems
10 Bulletin of the American Mathematical Society. New Series
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 Bernoulli
8 Physica D
8 Journal of the American Mathematical Society
8 Journal of Physics A: Mathematical and Theoretical
7 Quarterly of Applied Mathematics
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Mathematical Fluid Mechanics
6 Journal of Computational Physics
6 Acta Mathematica
6 Proceedings of the American Mathematical Society
6 Geometric and Functional Analysis. GAFA
6 Journal of the European Mathematical Society (JEMS)
6 Séminaire Laurent Schwartz. EDP et Applications
5 Applicable Analysis
5 Wave Motion
5 Random Structures & Algorithms
5 Potential Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
5 Kinetic and Related Models
5 Science China. Mathematics
4 SIAM Journal on Numerical Analysis
4 Journal of Nonlinear Science
4 St. Petersburg Mathematical Journal
4 Electronic Communications in Probability
4 Annals of Mathematics. Second Series
4 Communications in Contemporary Mathematics
4 Physical Review Letters
4 Journal of Hyperbolic Differential Equations
4 Journal of Statistical Mechanics: Theory and Experiment
4 Forum of Mathematics, Sigma
3 Computers & Mathematics with Applications
3 Journal d’Analyse Mathématique
3 Mathematical Methods in the Applied Sciences
3 Reports on Mathematical Physics
3 Theoretical and Mathematical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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 Doklady Mathematics
3 Mathematical Physics, Analysis and Geometry
3 New Journal of Physics
3 Stochastics and Dynamics
3 Communications on Pure and Applied Analysis
3 Probability Surveys
2 Modern Physics Letters A
2 Advances in Applied Probability
2 Israel Journal of Mathematics
2 Russian Mathematical Surveys
2 Theory of Probability and its Applications
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Functional Analysis and its Applications
2 Illinois Journal of Mathematics
2 Journal of Computational and Applied Mathematics
2 Memoirs of the American Mathematical Society
2 Statistics & Probability Letters
2 Stochastic Analysis and Applications
2 Revista Matemática Iberoamericana
2 Mathematical and Computer Modelling
2 SIAM Journal on Discrete Mathematics
2 Science in China. Series A
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
...and 128 more Serials
all top 5

Cited in 52 Fields

660 Probability theory and stochastic processes (60-XX)
624 Partial differential equations (35-XX)
562 Statistical mechanics, structure of matter (82-XX)
371 Quantum theory (81-XX)
271 Linear and multilinear algebra; matrix theory (15-XX)
140 Fluid mechanics (76-XX)
88 Dynamical systems and ergodic theory (37-XX)
80 Operator theory (47-XX)
62 Combinatorics (05-XX)
55 Statistics (62-XX)
52 Functional analysis (46-XX)
37 Astronomy and astrophysics (85-XX)
33 Numerical analysis (65-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
24 Relativity and gravitational theory (83-XX)
22 Global analysis, analysis on manifolds (58-XX)
19 Optics, electromagnetic theory (78-XX)
18 Mechanics of particles and systems (70-XX)
17 Real functions (26-XX)
14 Mechanics of deformable solids (74-XX)
13 Biology and other natural sciences (92-XX)
13 Information and communication theory, circuits (94-XX)
11 Ordinary differential equations (34-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Number theory (11-XX)
9 Measure and integration (28-XX)
9 Differential geometry (53-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Potential theory (31-XX)
7 Functions of a complex variable (30-XX)
7 Systems theory; control (93-XX)
6 Algebraic geometry (14-XX)
6 Integral equations (45-XX)
6 Computer science (68-XX)
5 Special functions (33-XX)
4 Difference and functional equations (39-XX)
4 Approximations and expansions (41-XX)
4 Geophysics (86-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Manifolds and cell complexes (57-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)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)

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