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Horng-Tzer Yau

Identifiers

  • name variant Horng-Tzer Yau 0.60 · backfill

Papers (62)

  1. Random band matrices in the delocalized phase, II: Generalized resolvent estimates math.PR · 2018 · author #3
  2. Random band matrices in the delocalized phase, I: Quantum unique ergodicity and universality math.PR · 2018 · author #2
  3. Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erd\H{o}s-R\'enyi graphs math.PR · 2017 · author #3
  4. Edge statistics of Dyson Brownian motion math.PR · 2017 · author #2
  5. Eigenvector Statistics of Sparse Random Matrices math.PR · 2016 · author #3
  6. Fixed energy universality for Dyson Brownian motion math.PR · 2016 · author #3
  7. Universality for a class of random band matrices math.PR · 2016 · author #3
  8. Bulk universality of sparse random matrices math.PR · 2015 · author #3
  9. Convergence of local statistics of Dyson Brownian motion math.PR · 2015 · author #2
  10. Bulk universality for deformed Wigner matrices math.PR · 2014 · author #4
  11. On the principal components of sample covariance matrices math.PR · 2014 · author #3
  12. The Eigenvector Moment Flow and local Quantum Unique Ergodicity math.PR · 2013 · author #2
  13. Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices math.PR · 2013 · author #4
  14. Edge Universality of Beta Ensembles math.PR · 2013 · author #3
  15. The Local Semicircle Law for a General Class of Random Matrices math.PR · 2012 · author #3
  16. Gap Universality of Generalized Wigner and beta-Ensembles math.PR · 2012 · author #2
  17. The local circular law II: the edge case math.PR · 2012 · author #2
  18. Local Circular Law for Random Matrices math.PR · 2012 · author #2
  19. Delocalization and Diffusion Profile for Random Band Matrices math.PR · 2012 · author #3
  20. Averaging Fluctuations in Resolvents of Random Band Matrices math.PR · 2012 · author #3
  21. A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices math.PR · 2012 · author #2
  22. Bulk Universality of General $\beta$-Ensembles with Non-convex Potential math.PR · 2012 · author #3
  23. Universality of local spectral statistics of random matrices math.PR · 2011 · author #2
  24. Universality of General $\beta$-Ensembles math.PR · 2011 · author #3
  25. Spectral Statistics of Erd{\H o}s-R\'enyi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues math.PR · 2011 · author #3
  26. Spectral statistics of Erd\H{o}s-R\'{e}nyi graphs I: Local semicircle law math.PR · 2011 · author #3
  27. Rigidity of Eigenvalues of Generalized Wigner Matrices math-ph · 2010 · author #2
  28. Universality for generalized Wigner matrices with Bernoulli distribution math-ph · 2010 · author #2
  29. Bulk universality for generalized Wigner matrices math-ph · 2010 · author #2
  30. The local relaxation flow approach to universality of the local statistics for random matrices math-ph · 2009 · author #3
  31. Universality of Random Matrices and Local Relaxation Flow math-ph · 2009 · author #3
  32. Bulk universality for Wigner hermitian matrices with subexponential decay math.PR · 2009 · author #6
  33. Bulk Universality for Wigner Matrices math-ph · 2009 · author #5
  34. Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation math-ph · 2009 · author #4
  35. The Second Order Upper Bound for the Ground Energy of a Bose Gas math-ph · 2009 · author #1
  36. Wegner estimate and level repulsion for Wigner random matrices math-ph · 2008 · author #3
  37. The ground state energy of a low density Bose gas: a second order upper bound math-ph · 2008 · author #3
  38. Feynman graphs and renormalization in quantum diffusion math-ph · 2008 · author #3
  39. Local semicircle law and complete delocalization for Wigner random matrices math-ph · 2008 · author #3
  40. Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential math-ph · 2008 · author #3
  41. Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices math-ph · 2007 · author #3
  42. Lower bounds on the blow-up rate of the axisymmetric Navier-Stokes equations II math.AP · 2007 · author #4
  43. Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations math.AP · 2007 · author #4
  44. Rigorous Derivation of the Gross-Pitaevskii Equation math-ph · 2006 · author #3
  45. Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate math-ph · 2006 · author #3
  46. Quantum diffusion of the random Schrodinger evolution in the scaling limit II. The recollision diagrams math-ph · 2005 · author #3
  47. Quantum diffusion of the random Schrodinger evolution in the scaling limit math-ph · 2005 · author #3
  48. Derivation of the Cubic Non-linear Schr\"odinger Equation from Quantum Dynamics of Many-Body Systems math-ph · 2005 · author #3
  49. Towards the quantum Brownian motion math-ph · 2005 · author #3
  50. Quantum diffusion for the Anderson model in the scaling limit math-ph · 2005 · author #3
  51. Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons math-ph · 2004 · author #4
  52. Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate math-ph · 2004 · author #3
  53. Nonlinear Hartree equation as the mean field limit of weakly coupled fermions math-ph · 2003 · author #4
  54. On the quantum Boltzmann equation math-ph · 2003 · author #3
  55. Derivation of the Euler equations from many-body quantum mechanics math-ph · 2002 · author #2
  56. Derivation of the Euler Equations from Quantum Dynamics math-ph · 2002 · author #2
  57. Classification of Asymptotic Profiles for Nonlinear Schr\"odinger Equations with Small Initial Data math-ph · 2002 · author #2
  58. $(\log t)^{2/3}$ law of the two dimensional asymmetric simple exclusion process math-ph · 2002 · author #1
  59. Derivation of the nonlinear Schr\"odinger equation from a many body Coulomb system math-ph · 2001 · author #2
  60. Stable Directions for Excited States of Nonlinear Schr\"odinger Equations math-ph · 2001 · author #2
  61. Relaxation of Excited States in Nonlinear Schr\"odinger Equations math-ph · 2001 · author #2
  62. Asymptotic Dynamics of Nonlinear Schrodinger Equations: Resonance Dominated and Radiation Dominated Solutions math-ph · 2000 · author #2

Mentions

  • 1405.6634 #4 · backfill · confidence 0.70 Horng-Tzer Yau
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  • 0905.2089 #4 · backfill · confidence 0.70 Horng-Tzer Yau
  • 0903.5347 #1 · backfill · confidence 0.70 Horng-Tzer Yau
  • 0811.2591 #3 · backfill · confidence 0.70 Horng-Tzer Yau
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  • 0711.1730 #3 · backfill · confidence 0.70 Horng-Tzer Yau
  • 0709.4230 #4 · backfill · confidence 0.70 Horng-Tzer Yau

Frequent Coauthors