Horng-Tzer Yau - Publications

Affiliations: 
Mathematics Harvard University, Cambridge, MA, United States 

66 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Bauerschmidt R, Huang J, Knowles A, Yau H. Edge rigidity and universality of random regular graphs of intermediate degree Geometric and Functional Analysis. 30: 693-769. DOI: 10.1007/S00039-020-00538-0  0.338
2019 Bauerschmidt R, Bourgade P, Nikula M, Yau H. The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem Advances in Theoretical and Mathematical Physics. 23: 841-1002. DOI: 10.4310/Atmp.2019.V23.N4.A1  0.362
2019 Landon B, Sosoe P, Yau H. Fixed energy universality of Dyson Brownian motion Advances in Mathematics. 346: 1137-1332. DOI: 10.1016/J.Aim.2019.02.010  0.37
2019 Bauerschmidt R, Huang J, Yau H. Local Kesten–McKay Law for Random Regular Graphs Communications in Mathematical Physics. 369: 523-636. DOI: 10.1007/S00220-019-03345-3  0.326
2017 Landon B, Yau H. Convergence of Local Statistics of Dyson Brownian Motion Communications in Mathematical Physics. 355: 949-1000. DOI: 10.1007/S00220-017-2955-1  0.33
2017 Bourgade P, Yau H. The Eigenvector Moment Flow and Local Quantum Unique Ergodicity Communications in Mathematical Physics. 350: 231-278. DOI: 10.1007/S00220-016-2627-6  0.313
2017 Bauerschmidt R, Knowles A, Yau H. Local Semicircle Law for Random Regular Graphs Communications On Pure and Applied Mathematics. 70: 1898-1960. DOI: 10.1002/Cpa.21709  0.407
2016 Lee JO, Schnelli K, Stetler B, Yau H. Bulk universality for deformed Wigner matrices Annals of Probability. 44: 2349-2425. DOI: 10.1214/15-Aop1023  0.348
2016 Bloemendal A, Knowles A, Yau HT, Yin J. On the principal components of sample covariance matrices Probability Theory and Related Fields. 164: 459-552. DOI: 10.1007/S00440-015-0616-X  0.335
2015 Huang J, Landon B, Yau HT. Bulk universality of sparse random matrices Journal of Mathematical Physics. 56. DOI: 10.1063/1.4936139  0.385
2014 Bloemendal A, Erdos L, Knowles A, Yau HT, Yin J. Isotropic local laws for sample covariance and generalized Wigner matrices Electronic Journal of Probability. 19. DOI: 10.1214/Ejp.V19-3054  0.351
2013 Erdos L, Knowles A, Yau HT, Yin J. The local semicircle law for a general class of random matrices Electronic Journal of Probability. 18. DOI: 10.1214/Ejp.V18-2473  0.387
2013 Erdõs L, Knowles A, Yau HT, Yin J. Spectral statistics of Erdos-Rényi graphs i: Local semicircle law Annals of Probability. 41: 2279-2375. DOI: 10.1214/11-Aop734  0.39
2013 Erdos L, Knowles A, Yau HT, Yin J. Delocalization and Diffusion Profile for Random Band Matrices Communications in Mathematical Physics. 323: 367-416. DOI: 10.1007/S00220-013-1773-3  0.314
2013 Erdos L, Knowles A, Yau HT. Averaging Fluctuations in Resolvents of Random Band Matrices Annales Henri Poincare. 14: 1837-1926. DOI: 10.1007/S00023-013-0235-Y  0.359
2012 Erdős L, Yau H. A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices Electronic Journal of Probability. 17: 1-5. DOI: 10.1214/Ejp.V17-1779  0.37
2012 Erdős L, Schlein B, Yau H, Yin J. The local relaxation flow approach to universality of the local statistics for random matrices Annales De L'Institut Henri Poincaré, ProbabilitéS Et Statistiques. 48: 1-46. DOI: 10.1214/10-Aihp388  0.389
2012 Erdős L, Yau H. Universality of local spectral statistics of random matrices Bulletin of the American Mathematical Society. 49: 377-414. DOI: 10.1090/S0273-0979-2012-01372-1  0.31
2012 Erdős L, Yau H, Yin J. Rigidity of eigenvalues of generalized Wigner matrices Advances in Mathematics. 229: 1435-1515. DOI: 10.1016/J.Aim.2011.12.010  0.422
2012 Erdos L, Knowles A, Yau HT, Yin J. Spectral Statistics of Erdo{double acute}s-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues Communications in Mathematical Physics. 314: 587-640. DOI: 10.1007/S00220-012-1527-7  0.376
2011 Erdös L, Yau H, Yin J. Universality for generalized Wigner matrices with Bernoulli distribution Journal of Combinatorics. 2: 15-81. DOI: 10.4310/Joc.2011.V2.N1.A2  0.331
2011 Erdős L, Yau H, Yin J. Bulk universality for generalized Wigner matrices Probability Theory and Related Fields. 154: 341-407. DOI: 10.1007/S00440-011-0390-3  0.383
2011 Erdős L, Schlein B, Yau H. Universality of random matrices and local relaxation flow Inventiones Mathematicae. 185: 75-119. DOI: 10.1007/S00222-010-0302-7  0.349
2010 Erdos L, Schlein B, Yau H. Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate Annals of Mathematics. 172: 291-370. DOI: 10.4007/Annals.2010.172.291  0.409
2010 Erdos L, Ramirez JA, Schlein B, Yau H. Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation Electronic Journal of Probability. 15: 526-604. DOI: 10.1214/Ejp.V15-768  0.354
2010 Erdős L, Schlein B, Yau H. Wegner Estimate and Level Repulsion for Wigner Random Matrices International Mathematics Research Notices. 2010: 436-479. DOI: 10.1093/Imrn/Rnp136  0.406
2010 Landim C, Yau H. Large deviations of interacting particle systems in infinite volume Communications On Pure and Applied Mathematics. 48: 339-379. DOI: 10.1002/Cpa.3160480401  0.334
2010 Erdos L, Péché S, Ramírez JA, Schlein B, Yau H. Bulk Universality for Wigner Matrices Communications On Pure and Applied Mathematics. 63: 895-925. DOI: 10.1002/Cpa.20317  0.37
2009 Erdős L, Schlein B, Yau H. Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices Annals of Probability. 37: 815-852. DOI: 10.1214/08-Aop421  0.395
2009 Erdos L, Schlein B, Yau H. Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential Journal of the American Mathematical Society. 22: 1099-1156. DOI: 10.1090/S0894-0347-09-00635-3  0.441
2009 Chen C, Strain RM, Tsai T, Yau H. Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier-Stokes Equations II Communications in Partial Differential Equations. 34: 203-232. DOI: 10.1080/03605300902793956  0.365
2009 Yau H, Yin J. The Second Order Upper Bound for the Ground Energy of a Bose Gas Journal of Statistical Physics. 136: 453-503. DOI: 10.1007/S10955-009-9792-3  0.347
2009 Erdős L, Schlein B, Yau H. Local Semicircle Law and Complete Delocalization for Wigner Random Matrices Communications in Mathematical Physics. 287: 641-655. DOI: 10.1007/S00220-008-0636-9  0.396
2008 Erdős L, Schlein B, Yau H. Ground-state energy of a low-density Bose gas: A second-order upper bound Physical Review A. 78: 53627. DOI: 10.1103/Physreva.78.053627  0.329
2008 Chen C, Strain RM, Yau H, Tsai T. Lower Bound on the Blow-up Rate of the Axisymmetric Navier-Stokes Equations International Mathematics Research Notices. 2008. DOI: 10.1093/Imrn/Rnn016  0.396
2008 Erdos L, Salmhofer M, Yau H. Quantum diffusion of the random Schrödinger evolution in the scaling limit Acta Mathematica. 200: 211-277. DOI: 10.1007/S11511-008-0027-2  0.402
2007 Erdos L, Schlein B, Yau HT. Rigorous derivation of the Gross-Pitaevskii equation. Physical Review Letters. 98: 040404. PMID 17358748 DOI: 10.1103/Physrevlett.98.040404  0.374
2007 Erdős L, Schlein B, Yau H. Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems Inventiones Mathematicae. 167: 515-614. DOI: 10.1007/S00222-006-0022-1  0.409
2007 Erdos L, Salmhofer M, Yau HT. Quantum diffusion of the random Schrödinger evolution in the scaling limit II. The recollision diagrams Communications in Mathematical Physics. 271: 1-53. DOI: 10.1007/S00220-006-0158-2  0.434
2007 Erdos L, Salmhofer M, Yau HT. Quantum diffusion for the Anderson model in the scaling limit Annales Henri Poincare. 8: 621-685. DOI: 10.1007/S00023-006-0318-0  0.431
2006 Erdos L, Salmhofer M, Yau HT. Towards the Quantum Brownian motion Lecture Notes in Physics. 690: 233-257. DOI: 10.1007/3-540-34273-7_18  0.388
2006 Erdős L, Schlein B, Yau H. Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate Communications On Pure and Applied Mathematics. 59: 1659-1741. DOI: 10.1002/Cpa.20123  0.428
2004 Erds L, Salmhofer M, Yau HT. On the quantum Boltzmann equation Journal of Statistical Physics. 116: 367-380. DOI: 10.1023/B:Joss.0000037224.56191.Ed  0.377
2003 Nachtergaele B, Yau HT. Derivation of the Euler Equations from Quantum Dynamics Communications in Mathematical Physics. 243: 485-540. DOI: 10.1007/S00220-003-0980-8  0.375
2002 Tsai T, Yau H. Classification of Asymptotic Profiles for Nonlinear Schrodinger Equations with Small Initial Data Advances in Theoretical and Mathematical Physics. 6: 107-139. DOI: 10.4310/Atmp.2002.V6.N1.A2  0.397
2002 Tsai T, Yau H. Relaxation of excited states in nonlinear Schrödinger equations International Mathematics Research Notices. 2002: 1629-1673. DOI: 10.1155/S1073792802201063  0.327
2002 Tsai T, Yau H. Stable Directions For Excited States Of Nonlinear Schrödinger Equations Pediatric Dermatology. 27: 2363-2402. DOI: 10.1081/Pde-120016161  0.366
2002 Bardos C, Erdös L, Golse F, Mauser N, Yau H. Derivation of the Schrödinger–Poisson equation from the quantum N-body problem Comptes Rendus Mathematique. 334: 515-520. DOI: 10.1016/S1631-073X(02)02253-7  0.381
2002 Fröhlich J, Tsai T, Yau H. On the Point-Particle (Newtonian) Limit¶of the Non-Linear Hartree Equation Communications in Mathematical Physics. 225: 223-274. DOI: 10.1007/S002200100579  0.346
2002 Tsai T, Yau H. Asymptotic Dynamics of Nonlinear Schrödinger Equations: Resonance-Dominated and Dispersion-Dominated Solutions Communications On Pure and Applied Mathematics. 55: 153-216. DOI: 10.1002/Cpa.3012  0.38
2001 Erdős L, Yau H. Derivation of the nonlinear Schrödinger equation from a many body Coulomb system Advances in Theoretical and Mathematical Physics. 5: 1169-1205. DOI: 10.4310/Atmp.2001.V5.N6.A6  0.328
2000 Erdős L, Yau H. Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation Communications On Pure and Applied Mathematics. 53: 667-735. DOI: 10.1002/(Sici)1097-0312(200006)53:6<667::Aid-Cpa1>3.0.Co;2-5  0.409
1999 Janvresse E, Landim C, Quastel J, Yau H. Relaxation to Equilibrium of Conservative Dynamics. I: Zero-Range Processes Annals of Probability. 27: 325-360. DOI: 10.1214/Aop/1022677265  0.313
1998 Quastel J, Yau H. Lattice gases, large deviations, and the incompressible Navier-Stokes equations Annals of Mathematics. 148: 51-108. DOI: 10.2307/120992  0.415
1998 Lee T, Yau H. Logarithmic Sobolev inequality for some models of random walks Annals of Probability. 26: 1855-1873. DOI: 10.1214/Aop/1022855885  0.307
1997 Yau H. Logarithmic Sobolev inequality for generalized simple exclusion processes Probability Theory and Related Fields. 109: 507-538. DOI: 10.1007/S004400050140  0.361
1996 Yau H. Logarithmic Sobolev Inequality For Lattice Gases With Mixing Conditions Communications in Mathematical Physics. 181: 367-408. DOI: 10.1007/Bf02101009  0.329
1995 Spohn H, Yau H. Bulk diffusivity of lattice gases close to criticality Journal of Statistical Physics. 79: 231-241. DOI: 10.1007/Bf02179388  0.317
1994 Yau H. Metastability of Ginzburg-Landau model with a conservation law Journal of Statistical Physics. 74: 705-742. DOI: 10.1007/Bf02188577  0.339
1993 Lu SL, Yau H. Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics Communications in Mathematical Physics. 156: 399-433. DOI: 10.1007/Bf02098489  0.303
1992 Chang CC, Yau H. Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium Communications in Mathematical Physics. 145: 209-234. DOI: 10.1007/Bf02099137  0.378
1991 Yau H. Relative entropy and hydrodynamics of Ginzburg-Landau models Letters in Mathematical Physics. 22: 63-80. DOI: 10.1007/Bf00400379  0.31
1990 Brydges D, Yau H. Grad ø perturbations of massless Gaussian fields Communications in Mathematical Physics. 129: 351-392. DOI: 10.1007/Bf02096987  0.307
1988 Lieb EH, Yau HT. Many-body stability implies a bound on the fine-structure constant. Physical Review Letters. 61: 1695-1697. PMID 10038872 DOI: 10.1103/Physrevlett.61.1695  0.507
1987 Lieb EH, Yau H. A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse The Astrophysical Journal. 323: 140-144. DOI: 10.1086/165813  0.549
1987 Lieb EH, Yau H. The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics Communications in Mathematical Physics. 112: 147-174. DOI: 10.1007/Bf01217684  0.553
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