Edit Profile (opens in new tab) Yau, Horng-Tzer Compute Distance To: Compute Author ID: yau.horng-tzer Published as: Yau, Horng-Tzer; Yau, H. T.; Yau, H.-T. more...less Homepage: http://www.math.harvard.edu/~htyau/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 126 Publications since 1986, including 1 Book 9 Contributions as Editor · 3 Further Contributions Co-Authors: 65 Co-Authors with 122 Joint Publications 1,910 Co-Co-Authors 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 all top 5 Serials 22 Communications in Mathematical Physics 10 Communications on Pure and Applied Mathematics 9 The Annals of Probability 7 Journal of Statistical Physics 7 Probability Theory and Related Fields 5 Electronic Journal of Probability 4 Advances in Theoretical and Mathematical Physics 3 Journal of Mathematical Physics 3 IMRN. International Mathematics Research Notices 3 Annals of Mathematics. Second Series 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Communications in Partial Differential Equations 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 ICCM Notices 1 Archive for Rational Mechanics and Analysis 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Acta Mathematica 1 Duke Mathematical Journal 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Mathematical Research Letters 1 Documenta Mathematica 1 The Asian Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 IAS/Park City Mathematics Series 1 Courant Lecture Notes in Mathematics 1 Analysis & PDE 1 Journal of Combinatorics all top 5 Fields 80 Statistical mechanics, structure of matter (82-XX) 77 Probability theory and stochastic processes (60-XX) 43 Linear and multilinear algebra; matrix theory (15-XX) 36 Partial differential equations (35-XX) 29 Quantum theory (81-XX) 12 Combinatorics (05-XX) 11 Fluid mechanics (76-XX) 10 General and overarching topics; collections (00-XX) 7 Algebraic geometry (14-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications 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 0641.35065Lieb, Elliott H.; Yau, Horng-Tzer 163 1987 Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017Erdős, László; Yau, Horng-Tzer; Yin, Jun 129 2012 Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems. Zbl 1123.35066Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 128 2007 Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Zbl 1204.82028Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 117 2010 Relative entropy and hydrodynamics of Ginzburg-Landau models. Zbl 0725.60120Yau, Horng-Tzer 110 1991 Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Zbl 1014.81063Erdős, László; Yau, Horng-Tzer 107 2001 Bulk universality for generalized Wigner matrices. Zbl 1277.15026Erdős, László; Yau, Horng-Tzer; Yin, Jun 106 2012 Local semicircle law and complete delocalization for Wigner random matrices. Zbl 1186.60005Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 102 2009 Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 94 2009 Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 88 2013 Universality of random matrices and local relaxation flow. Zbl 1225.15033Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 87 2011 Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Zbl 1122.82018Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 84 2006 The stability and instability of relativistic matter. Zbl 0686.35099Lieb, Elliott H.; Yau, Horng-Tzer 81 1988 Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Zbl 1028.82010Erdős, László; Yau, Horng-Tzer 80 2000 Bulk universality for Wigner matrices. Zbl 1216.15025Erdös, 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 1207.82031Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 77 2009 Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Zbl 0779.60078Lu, Sheng Lin; Yau, Horng-Tzer 76 1993 Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues. Zbl 1251.05162Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 76 2012 The local semicircle law for a general class of random matrices. Zbl 1373.15053Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 69 2013 Wegner estimate and level repulsion for Wigner random matrices. Zbl 1204.15043Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 68 2010 Edge universality of beta ensembles. Zbl 1306.82010Bourgade, Paul; Erdös, László; Yau, Horng-Tzer 67 2014 Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137Tsai, Tai-Peng; Yau, Horng-Tzer 62 2002 Universality of general \(\beta\)-ensembles. Zbl 1298.15040Bourgade, Paul; Erdös, László; Yau, Horng-Tzer 55 2014 The local relaxation flow approach to universality of the local statistics for random matrices. Zbl 1285.82029Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer; Yin, Jun 55 2012 Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101Olla, 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 1173.35095Chen, Chiun-Chuan; Strain, Robert M.; Tsai, Tai-Peng; Yau, Horng-Tzer 52 2009 Universality for generalized Wigner matrices with Bernoulli distribution. Zbl 1235.15029Erdős, 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 0607.35083Loss, Michael; Yau, Horng-Tzer 49 1986 Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. Zbl 1086.81035Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 48 2006 A dynamical approach to random matrix theory. Zbl 1379.15003Erdős, László; Yau, Horng-Tzer 46 2017 Isotropic local laws for sample covariance and generalized Wigner matrices. Zbl 1288.15044Alex, 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 1059.81190Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 44 2004 Grad \(\phi\) perturbations of massless Gaussian fields. Zbl 0705.60101Brydges, David; Yau, Horng-Tzer 43 1990 Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Zbl 1154.35068Chen, 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 1018.81009Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer 43 2002 Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027Erdős, László; Ramírez, José; Schlein, Benjamin; Tao, Terence; Vu, Van; Yau, Horng-Tzer 42 2010 Fixed energy universality for generalized Wigner matrices. Zbl 1354.15025Bourgade, Paul; Erdős, Laszlo; Yau, Horng-Tzer; Yin, Jun 42 2016 Universality of local spectral statistics of random matrices. Zbl 1263.15032Erdős, László; Yau, Horng-Tzer 42 2012 Delocalization and diffusion profile for random band matrices. Zbl 1279.15027Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 41 2013 Averaging fluctuations in resolvents of random band matrices. Zbl 1296.15020Erdős, László; Knowles, Antti; Yau, Horng-Tzer 40 2013 The second order upper bound for the ground energy of a Bose gas. Zbl 1200.82002Yau, Horng-Tzer; Yin, Jun 40 2009 The eigenvector moment flow and local quantum unique ergodicity. Zbl 1379.58014Bourgade, P.; Yau, H.-T. 40 2017 On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 40 2002 Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120Tsai, Tai-Peng; Yau, Horng-Tzer 38 2002 Logarithmic Sobolev inequality for some models of random walks. Zbl 0943.60062Lee, Tzong-Yow; Yau, Horng-Tzer 36 1998 Convergence of local statistics of Dyson Brownian motion. Zbl 1378.60106Landon, Benjamin; Yau, Horng-Tzer 36 2017 Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer 35 2000 Local circular law for random matrices. Zbl 1301.15021Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun 34 2014 Bulk universality of general {\(\beta\)}-ensembles with non-convex potential. Zbl 1278.82032Bourgade, Paul; Erdos, László; Yau, Horng-Tzer 34 2012 Fixed energy universality of Dyson Brownian motion. Zbl 1417.82019Landon, Benjamin; Sosoe, Philippe; Yau, Horng-Tzer 34 2019 Quantum diffusion of the random Schrödinger evolution in the scaling limit. Zbl 1155.82015Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 31 2008 Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113Tsai, Tai-Peng; Yau, Horng-Tzer 31 2002 Quantum diffusion of the random Schrödinger evolution in the scaling limit. II: The recollision diagrams. Zbl 1205.82123Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 31 2007 On the principal components of sample covariance matrices. Zbl 1339.15023Bloemendal, Alex; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 30 2016 Local semicircle law for random regular graphs. Zbl 1372.05194Bauerschmidt, Roland; Knowles, Antti; Yau, Horng-Tzer 30 2017 Bulk universality for deformed Wigner matrices. Zbl 1346.15037Lee, Ji Oon; Schnelli, Kevin; Stetler, Ben; Yau, Horng-Tzer 29 2016 On the quantum Boltzmann equation. Zbl 1142.82346Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 29 2004 Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation. Zbl 1225.15034Erdős, László; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer 29 2010 Gap universality of generalized Wigner and \(\beta\)-ensembles. Zbl 1333.15031Erdős, László; Yau, Horng-Tzer 28 2015 Local density for two-dimensional one-component plasma. Zbl 1383.82056Bauerschmidt, Roland; Bourgade, Paul; Nikula, Miika; Yau, Horng-Tzer 28 2017 Bulk universality of sparse random matrices. Zbl 1329.05262Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer 26 2015 Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034Tsai, Tai-Peng; Yau, Horng-Tzer 25 2002 Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium. Zbl 0754.76006Chang, Chih-Chung; Yau, Horng-Tzer 25 1992 Logarithmic Sobolev inequality for generalized simple exclusion processes. Zbl 0903.60087Yau, Horng-Tzer 24 1997 Local Kesten-McKay law for random regular graphs. Zbl 1414.05260Bauerschmidt, Roland; Huang, Jiaoyang; Yau, Horng-Tzer 24 2019 Bulk eigenvalue statistics for random regular graphs. Zbl 1379.05098Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer 23 2017 Universality for a class of random band matrices. Zbl 1381.15029Bourgade, Paul; Erdos, Laszlo; Yau, Horng-Tzer; Yin, Jun 23 2017 The local circular law. II: The edge case. Zbl 1342.15028Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun 22 2014 Logarithmic Sobolev inequality for lattice gases mixing conditions. Zbl 0864.60079Yau, Horng-Tzer 22 1996 Random band matrices in the delocalized phase I: Quantum unique ergodicity and universality. Zbl 1446.60005Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun 22 2020 Fluctuation-dissipation equation of asymmetric simple exclusion processes. Zbl 0884.60092Landim, C.; Yau, H. T. 21 1997 Superdiffusivity of asymmetric exclusion process in dimensions one and two. Zbl 1064.60164Landim, C.; Quastel, J.; Salmhofer, M.; Yau, H. T. 21 2004 Convection-diffusion equation with space-time ergodic random flow. Zbl 0914.60070Landim, C.; Olla, S.; Yau, H. T. 20 1998 Lattice gases, large deviations, and the incompressible Navier-Stokes equations. Zbl 0919.35102Quastel, J.; Yau, H.-T. 19 1998 Eigenvector statistics of sparse random matrices. Zbl 1372.05195Bourgade, Paul; Huang, Jiaoyang; Yau, Horng-Tzer 19 2017 Diffusive limit of asymmetric simple exclusion. Zbl 0841.60082Esposito, R.; Marra, R.; Yau, H. T. 19 1994 Relaxation to equilibrium of conservative dynamics. I: Zero-range processes. Zbl 0951.60095Janvresse, E.; Landim, C.; Quastel, J.; Yau, H. T. 17 1999 Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems. Zbl 1022.60087Landim, C.; Panizo, G.; Yau, H. T. 15 2002 Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089Varadhan, S. R. S.; Yau, Horng-Tzer 15 1997 Quantum diffusion for the Anderson model in the scaling limit. Zbl 1208.82026Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 15 2007 Navier-Stokes equations for stochastic particle systems on the lattice. Zbl 0868.60079Esposito, R.; Marra, R.; Yau, H. T. 14 1996 \((\log t)^{2/3}\) law of the two-dimensional asymmetric simple exclusion process. Zbl 1060.60099Yau, Horng-Tzer 13 2004 Random band matrices in the delocalized phase. II: Generalized resolvent estimates. Zbl 1447.60018Bourgade, P.; Yang, F.; Yau, H.-T.; Yin, J. 13 2019 Some properties of the diffusion coefficient for asymmetric simple exclusion processes. Zbl 0872.60078Landim, 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 1050.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 12 2000 The Coulomb gas at low temperature and low density. Zbl 0682.76066Conlon, 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 0866.76003Landim, C.; Olla, S.; Yau, H. T. 10 1997 A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Zbl 1245.15038Erdős, László; Yau, Horng-Tzer 9 2012 Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs. Zbl 1440.05181Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer 8 2020 Metastability of Ginzburg-Landau model with a conservation law. Zbl 0834.35120Yau, Horng-Tzer 8 1994 Hydrodynamic limit for lattice gas reversible under Bernoulli measures. Zbl 0840.60091Funaki, T.; Uchiyama, K.; Yau, H. T. 8 1996 Convergence to equilibrium of conservative particle systems on \(\mathbb Z^d\). Zbl 1015.60098Landim, C.; Yau, H. T. 6 2003 Derivation of the Euler equations from quantum dynamics. Zbl 1079.82008Nachtergaele, Bruno; Yau, Horng-Tzer 5 2003 Superdiffusivity of two dimensional lattice gas models. Zbl 1088.82016Landim, Claudio; Ramírez, José A.; Yau, Horng-Tzer 5 2005 Large deviations of interacting particle systems in infinite volume. Zbl 0822.60092Landim, Claudio; Yau, Horng-Tzer 5 1995 Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation. Zbl 0906.60076Yau, Horng-Tzer 4 1998 Bulk diffusivity of lattice gases close to criticality. Zbl 1106.82335Spohn, Herbert; Yau, Horng-Tzer 4 1995 GOE statistics for Lévy matrices. Zbl 07445595Aggarwal, Amol; Lopatto, Patrick; Yau, Horng-Tzer 4 2021 On a classical limit of quantum theory and the nonlinear Hartree equation. Zbl 1071.81543Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 3 2000 Towards the quantum Brownian motion. Zbl 1170.82348Os, László Erd; Salmhofer, Manfred; Yau, Horng-Tzer 3 2006 GOE statistics for Lévy matrices. Zbl 07445595Aggarwal, Amol; Lopatto, Patrick; Yau, Horng-Tzer 4 2021 Dynamical approach to the TAP equations for the Sherrington-Kirkpatrick model. Zbl 1473.82015Adhikari, 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 1446.60005Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun 22 2020 Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs. Zbl 1440.05181Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer 8 2020 Edge rigidity and universality of random regular graphs of intermediate degree. Zbl 1453.05117Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer 2 2020 Fixed energy universality of Dyson Brownian motion. Zbl 1417.82019Landon, Benjamin; Sosoe, Philippe; Yau, Horng-Tzer 34 2019 Local Kesten-McKay law for random regular graphs. Zbl 1414.05260Bauerschmidt, Roland; Huang, Jiaoyang; Yau, Horng-Tzer 24 2019 Random band matrices in the delocalized phase. II: Generalized resolvent estimates. Zbl 1447.60018Bourgade, P.; Yang, F.; Yau, H.-T.; Yin, J. 13 2019 The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem. Zbl 1486.82042Bauerschmidt, Roland; Bourgade, Paul; Nikula, Miika; Yau, Horng-Tzer 3 2019 A dynamical approach to random matrix theory. Zbl 1379.15003Erdős, László; Yau, Horng-Tzer 46 2017 The eigenvector moment flow and local quantum unique ergodicity. Zbl 1379.58014Bourgade, P.; Yau, H.-T. 40 2017 Convergence of local statistics of Dyson Brownian motion. Zbl 1378.60106Landon, Benjamin; Yau, Horng-Tzer 36 2017 Local semicircle law for random regular graphs. Zbl 1372.05194Bauerschmidt, Roland; Knowles, Antti; Yau, Horng-Tzer 30 2017 Local density for two-dimensional one-component plasma. Zbl 1383.82056Bauerschmidt, Roland; Bourgade, Paul; Nikula, Miika; Yau, Horng-Tzer 28 2017 Bulk eigenvalue statistics for random regular graphs. Zbl 1379.05098Bauerschmidt, Roland; Huang, Jiaoyang; Knowles, Antti; Yau, Horng-Tzer 23 2017 Universality for a class of random band matrices. Zbl 1381.15029Bourgade, Paul; Erdos, Laszlo; Yau, Horng-Tzer; Yin, Jun 23 2017 Eigenvector statistics of sparse random matrices. Zbl 1372.05195Bourgade, Paul; Huang, Jiaoyang; Yau, Horng-Tzer 19 2017 Fixed energy universality for generalized Wigner matrices. Zbl 1354.15025Bourgade, Paul; Erdős, Laszlo; Yau, Horng-Tzer; Yin, Jun 42 2016 On the principal components of sample covariance matrices. Zbl 1339.15023Bloemendal, Alex; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 30 2016 Bulk universality for deformed Wigner matrices. Zbl 1346.15037Lee, Ji Oon; Schnelli, Kevin; Stetler, Ben; Yau, Horng-Tzer 29 2016 Gap universality of generalized Wigner and \(\beta\)-ensembles. Zbl 1333.15031Erdős, László; Yau, Horng-Tzer 28 2015 Bulk universality of sparse random matrices. Zbl 1329.05262Huang, Jiaoyang; Landon, Benjamin; Yau, Horng-Tzer 26 2015 Edge universality of beta ensembles. Zbl 1306.82010Bourgade, Paul; Erdös, László; Yau, Horng-Tzer 67 2014 Universality of general \(\beta\)-ensembles. Zbl 1298.15040Bourgade, Paul; Erdös, László; Yau, Horng-Tzer 55 2014 Isotropic local laws for sample covariance and generalized Wigner matrices. Zbl 1288.15044Alex, Bloemendal; Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 45 2014 Local circular law for random matrices. Zbl 1301.15021Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun 34 2014 The local circular law. II: The edge case. Zbl 1342.15028Bourgade, Paul; Yau, Horng-Tzer; Yin, Jun 22 2014 Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law. Zbl 1272.05111Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 88 2013 The local semicircle law for a general class of random matrices. Zbl 1373.15053Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 69 2013 Delocalization and diffusion profile for random band matrices. Zbl 1279.15027Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun 41 2013 Averaging fluctuations in resolvents of random band matrices. Zbl 1296.15020Erdős, László; Knowles, Antti; Yau, Horng-Tzer 40 2013 Rigidity of eigenvalues of generalized Wigner matrices. Zbl 1238.15017Erdős, László; Yau, Horng-Tzer; Yin, Jun 129 2012 Bulk universality for generalized Wigner matrices. Zbl 1277.15026Erdős, László; Yau, Horng-Tzer; Yin, Jun 106 2012 Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues. Zbl 1251.05162Erdős, 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 1285.82029Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer; Yin, Jun 55 2012 Universality of local spectral statistics of random matrices. Zbl 1263.15032Erdős, László; Yau, Horng-Tzer 42 2012 Bulk universality of general {\(\beta\)}-ensembles with non-convex potential. Zbl 1278.82032Bourgade, Paul; Erdos, László; Yau, Horng-Tzer 34 2012 A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices. Zbl 1245.15038Erdős, László; Yau, Horng-Tzer 9 2012 Universality of random matrices and local relaxation flow. Zbl 1225.15033Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 87 2011 Universality for generalized Wigner matrices with Bernoulli distribution. Zbl 1235.15029Erdős, László; Yau, Horng-Tzer; Yin, Jun 51 2011 Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Zbl 1204.82028Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 117 2010 Bulk universality for Wigner matrices. Zbl 1216.15025Erdös, László; Péché, Sandrine; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer 80 2010 Wegner estimate and level repulsion for Wigner random matrices. Zbl 1204.15043Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 68 2010 Bulk universality for Wigner Hermite matrices with subexponential decay. Zbl 1277.15027Erdős, 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 1225.15034Erdős, László; Ramírez, José A.; Schlein, Benjamin; Yau, Horng-Tzer 29 2010 Local semicircle law and complete delocalization for Wigner random matrices. Zbl 1186.60005Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 102 2009 Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices. Zbl 1175.15028Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 94 2009 Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential. Zbl 1207.82031Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 77 2009 Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations. II. Zbl 1173.35095Chen, 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 1200.82002Yau, Horng-Tzer; Yin, Jun 40 2009 Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations. Zbl 1154.35068Chen, 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 1155.82015Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 31 2008 Feynman graphs and renormalization in quantum diffusion. Zbl 1170.81037Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 1 2008 Derivation of the cubic nonlinear Schrödinger equation from quantum dynamics of many-body systems. Zbl 1123.35066Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 128 2007 Quantum diffusion of the random Schrödinger evolution in the scaling limit. II: The recollision diagrams. Zbl 1205.82123Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 31 2007 Quantum diffusion for the Anderson model in the scaling limit. Zbl 1208.82026Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 15 2007 Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Zbl 1122.82018Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 84 2006 Gross-Pitaevskii equation as the mean field limit of weakly coupled bosons. Zbl 1086.81035Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 48 2006 Towards the quantum Brownian motion. Zbl 1170.82348Os, László Erd; Salmhofer, Manfred; Yau, Horng-Tzer 3 2006 Superdiffusivity of two dimensional lattice gas models. Zbl 1088.82016Landim, Claudio; Ramírez, José A.; Yau, Horng-Tzer 5 2005 Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Zbl 1059.81190Elgart, Alexander; Erdős, László; Schlein, Benjamin; Yau, Horng-Tzer 44 2004 On the quantum Boltzmann equation. Zbl 1142.82346Erdős, László; Salmhofer, Manfred; Yau, Horng-Tzer 29 2004 Superdiffusivity of asymmetric exclusion process in dimensions one and two. Zbl 1064.60164Landim, C.; Quastel, J.; Salmhofer, M.; Yau, H. T. 21 2004 \((\log t)^{2/3}\) law of the two-dimensional asymmetric simple exclusion process. Zbl 1060.60099Yau, Horng-Tzer 13 2004 Convergence to equilibrium of conservative particle systems on \(\mathbb Z^d\). Zbl 1015.60098Landim, C.; Yau, H. T. 6 2003 Derivation of the Euler equations from quantum dynamics. Zbl 1079.82008Nachtergaele, Bruno; Yau, Horng-Tzer 5 2003 Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions. Zbl 1031.35137Tsai, Tai-Peng; Yau, Horng-Tzer 62 2002 Derivation of the Schrödinger-Poisson equation from the quantum \(N\)-body problem. Zbl 1018.81009Bardos, Claude; Erdős, Laszlo; Golse, François; Mauser, Norbert; Yau, Horng-Tzer 43 2002 On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 40 2002 Relaxation of excited states in nonlinear Schrödinger equations. Zbl 1011.35120Tsai, Tai-Peng; Yau, Horng-Tzer 38 2002 Stable directions for excited states of nonlinear Schrödinger equations. Zbl 1021.35113Tsai, Tai-Peng; Yau, Horng-Tzer 31 2002 Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data. Zbl 1033.81034Tsai, Tai-Peng; Yau, Horng-Tzer 25 2002 Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems. Zbl 1022.60087Landim, C.; Panizo, G.; Yau, H. T. 15 2002 Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Zbl 1014.81063Erdős, László; Yau, Horng-Tzer 107 2001 Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation. Zbl 1028.82010Erdős, László; Yau, Horng-Tzer 80 2000 Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084Sethuraman, 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 1050.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 12 2000 On a classical limit of quantum theory and the nonlinear Hartree equation. Zbl 1071.81543Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 3 2000 Relaxation to equilibrium of conservative dynamics. I: Zero-range processes. Zbl 0951.60095Janvresse, E.; Landim, C.; Quastel, J.; Yau, H. T. 17 1999 Hydrodynamical scaling limits of simple exclusion models. Zbl 1069.60503Jensen, Leif; Yau, Horng-Tzer 2 1999 Logarithmic Sobolev inequality for some models of random walks. Zbl 0943.60062Lee, Tzong-Yow; Yau, Horng-Tzer 36 1998 Convection-diffusion equation with space-time ergodic random flow. Zbl 0914.60070Landim, C.; Olla, S.; Yau, H. T. 20 1998 Lattice gases, large deviations, and the incompressible Navier-Stokes equations. Zbl 0919.35102Quastel, J.; Yau, H.-T. 19 1998 Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation. Zbl 0906.60076Yau, Horng-Tzer 4 1998 Linear Boltzmann equation as scaling limit of quantum Lorentz gas. Zbl 0894.35027Erdős, László; Yau, Horng-Tzer 2 1998 Logarithmic Sobolev inequality for generalized simple exclusion processes. Zbl 0903.60087Yau, Horng-Tzer 24 1997 Fluctuation-dissipation equation of asymmetric simple exclusion processes. Zbl 0884.60092Landim, C.; Yau, H. T. 21 1997 Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089Varadhan, 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 0866.76003Landim, C.; Olla, S.; Yau, H. T. 10 1997 Logarithmic Sobolev inequality for lattice gases mixing conditions. Zbl 0864.60079Yau, Horng-Tzer 22 1996 Navier-Stokes equations for stochastic particle systems on the lattice. Zbl 0868.60079Esposito, R.; Marra, R.; Yau, H. T. 14 1996 Some properties of the diffusion coefficient for asymmetric simple exclusion processes. Zbl 0872.60078Landim, C.; Olla, S.; Yau, H. T. 12 1996 Hydrodynamic limit for lattice gas reversible under Bernoulli measures. Zbl 0840.60091Funaki, T.; Uchiyama, K.; Yau, H. T. 8 1996 Large deviations of interacting particle systems in infinite volume. Zbl 0822.60092Landim, Claudio; Yau, Horng-Tzer 5 1995 Bulk diffusivity of lattice gases close to criticality. Zbl 1106.82335Spohn, Herbert; Yau, Horng-Tzer 4 1995 Diffusive limit of asymmetric simple exclusion. Zbl 0841.60082Esposito, R.; Marra, R.; Yau, H. T. 19 1994 Metastability of Ginzburg-Landau model with a conservation law. Zbl 0834.35120Yau, Horng-Tzer 8 1994 Diffusive limit of the asymmetric simple exclusion: The Navier-Stokes correction. Zbl 0872.60093Esposito, R.; Marra, R.; Yau, H. T. 2 1994 Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics. Zbl 0779.60078Lu, Sheng Lin; Yau, Horng-Tzer 76 1993 Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101Olla, S.; Varadhan, S. R. S.; Yau, H. T. 54 1993 ...and 7 more Documents all cited Publications top 5 cited Publications 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. 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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 all top 5 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. 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