Horng-Tzer Yau | Academic Influence

Horng-Tzer Yau's AcademicInfluence.com Rankings

Horng-Tzer Yau

Mathematics

#664

World Rank

#1223

Historical Rank

#292

USA Rank

Measure Theory

#839

World Rank

#1106

Historical Rank

#315

USA Rank

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Mathematics

Horng-Tzer Yau's Degrees

Bachelors Mathematics National Taiwan University

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According to Wikipedia, Horng-Tzer Yau is a Taiwanese-American mathematician. He received his B.Sc. in 1981 from National Taiwan University and his Ph.D. in 1987 from Princeton University. Yau joined the faculty of NYU in 1988, and became a full professor at its Courant Institute of Mathematical Sciences in 1994. He moved to Stanford in 2003, and then to Harvard University in 2005. He was also a member of the Institute for Advanced Study in Princeton, New Jersey, in 1987–88, 1991–92, and 2003, and was a distinguished visiting professor in 2013–14.

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Horng-Tzer Yau's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Rigidity of eigenvalues of generalized Wigner matrices (2010) (382)
The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics (1987) (351)
Relative entropy and hydrodynamics of Ginzburg-Landau models (1991) (319)
Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate (2004) (318)
Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems (2005) (314)
Bulk universality for generalized Wigner matrices (2010) (301)
Spectral statistics of Erdős–Rényi graphs I: Local semicircle law (2011) (298)
Local Semicircle Law and Complete Delocalization for Wigner Random Matrices (2008) (271)
Derivation of the nonlinear Schr\"odinger equation from a many body Coulomb system (2001) (262)
Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues (2011) (251)
Universality of random matrices and local relaxation flow (2009) (251)
Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices (2007) (235)
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation (1999) (231)
The stability and instability of relativistic matter (1988) (220)
Bulk universality for Wigner matrices (2009) (212)
A Dynamical Approach to Random Matrix Theory (2017) (210)
The local semicircle law for a general class of random matrices (2012) (210)
Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics (1993) (189)
Wegner estimate and level repulsion for Wigner random matrices (2008) (185)
Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate (2004) (183)
Rigorous Derivation of the Gross-Pitaevskii Equation with a Large Interaction Potential (2008) (174)
Hydrodynamical limit for a Hamiltonian system with weak noise (1993) (172)
The local relaxation flow approach to universality of the local statistics for random matrices (2009) (170)
Isotropic local laws for sample covariance and generalized Wigner matrices (2013) (166)
Edge Universality of Beta Ensembles (2013) (155)
Rigorous derivation of the Gross-Pitaevskii equation. (2006) (149)
Stability of coulomb systems with magnetic fields (1986) (141)
Universality of local spectral statistics of random matrices (2011) (136)
Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II (2007) (134)
Universality for generalized Wigner matrices with Bernoulli distribution (2010) (133)
On the Point-Particle (Newtonian) Limit¶of the Non-Linear Hartree Equation (2002) (131)
Asymptotic dynamics of nonlinear Schrödinger equations: Resonance‐dominated and dispersion‐dominated solutions (2002) (130)
Averaging Fluctuations in Resolvents of Random Band Matrices (2012) (128)
Fixed Energy Universality for Generalized Wigner Matrices (2014) (127)
Delocalization and Diffusion Profile for Random Band Matrices (2012) (126)
On the principal components of sample covariance matrices (2014) (126)
Grad ø perturbations of massless Gaussian fields (1990) (124)
Universality of general β -ensembles (2011) (123)
The Eigenvector Moment Flow and Local Quantum Unique Ergodicity (2013) (120)
Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons (2004) (119)
Bulk universality for Wigner hermitian matrices with subexponential decay (2009) (118)
Derivation of the Schrödinger–Poisson equation from the quantum N-body problem (2002) (110)
Dynamics of Deep Neural Networks and Neural Tangent Hierarchy (2019) (108)
Bulk universality of general β-ensembles with non-convex potential (2012) (106)
Logarithmic Sobolev inequality for some models of random walks (1998) (104)
Quantum diffusion of the random Schrödinger evolution in the scaling limit (2005) (102)
Local circular law for random matrices (2012) (102)
Convergence of Local Statistics of Dyson Brownian Motion (2015) (99)
Fixed energy universality of Dyson Brownian motion (2016) (99)
The Second Order Upper Bound for the Ground Energy of a Bose Gas (2009) (98)
On the Quantum Boltzmann Equation (2003) (97)
Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation (2009) (97)
Lower Bound on the Blow-up Rate of the Axisymmetric Navier-Stokes Equations (2008) (96)
Universality of general $\beta$-ensembles (2011) (93)
Nonlinear Hartree equation as the mean field limit of weakly coupled fermions (2003) (89)
Relaxation of excited states in nonlinear Schrödinger equations (2001) (88)
Local Semicircle Law for Random Regular Graphs (2015) (84)
Diffusive limit of a tagged particle in asymmetric simple exclusion processes (2000) (83)
Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium (1992) (81)
STABLE DIRECTIONS FOR EXCITED STATES OF NONLINEAR SCHRÖDINGER EQUATIONS (2001) (75)
Bulk universality for deformed Wigner matrices (2014) (74)
The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem (2016) (69)
Ground-state energy of a low-density Bose gas: A second-order upper bound (2008) (68)
Bulk universality of sparse random matrices (2015) (68)
Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams (2005) (65)
Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality (2018) (64)
Logarithmic Sobolev inequality for generalized simple exclusion processes (1997) (63)
Local Kesten–McKay Law for Random Regular Graphs (2016) (60)
Fluctuation–dissipation equation of asymmetric simple exclusion processes (1997) (59)
Superdiffusivity of Asymmetric Exclusion Process in Dimensions One and Two (2002) (59)
Convection–diffusion equation with space–time ergodic random flow (1998) (58)
Classification of Asymptotic Profiles for Nonlinear Schrodinger Equations with Small Initial Data (2002) (57)
DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION (1994) (56)
Diffusive limit of lattice gas with mixing conditions (1997) (56)
TheN7/5 law for charged bosons (1988) (56)
Universality for a class of random band matrices (2016) (55)
Lattice gases, large deviations, and the incompressible Navier-Stokes equations (1998) (55)
Bulk eigenvalue statistics for random regular graphs (2015) (55)
The local circular law II: the edge case (2012) (54)
Local Density for Two-Dimensional One-Component Plasma (2015) (52)
Gap Universality of Generalized Wigner and beta-Ensembles (2012) (52)
Logarithmic Sobolev inequality for lattice gases with mixing conditions (1996) (52)
Quantum Diffusion for the Anderson Model in the Scaling Limit (2005) (49)
Eigenvector Statistics of Sparse Random Matrices (2016) (47)
Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems (2002) (45)
$(\log t)^{2/3}$ law of the two dimensional asymmetric simple exclusion process (2002) (43)
Relaxation to Equilibrium of Conservative Dynamics. I: Zero-Range Processes (1999) (42)
Transition from Tracy–Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős–Rényi graphs (2017) (42)
On a Classical Limit of Quantum Theory and the Non-Linear Hartree Equation (2010) (41)
Some properties of the diffusion coefficient for asymmetric simple exclusion processes (1996) (36)
Edge statistics of Dyson Brownian motion (2017) (35)
Navier-Stokes equations for stochastic particle systems on the lattice (1996) (34)
First‐order correction for the hydrodynamic limit of asymmetric simple exclusion processes in dimension d ≥ 3 (1997) (34)
Hydrodynamic Limit for Lattice Gas Reversible under Bernoulli Measures (1996) (33)
A Rigorous Examination of the Chandrasekhar Theory of Stellar Collapse (1987) (33)
The Coulomb Gas at low temperature and low density (1989) (32)
Asymptotic Dynamics of Nonlinear Schrodinger Equations: Resonance Dominated and Radiation Dominated Solutions (2000) (31)
Random Band Matrices in the Delocalized Phase, II: Generalized Resolvent Estimates (2018) (31)
GOE statistics for Lévy matrices (2018) (25)
A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices (2012) (23)
Edge rigidity and universality of random regular graphs of intermediate degree (2019) (20)
from Quantum Dynamics (2003) (20)
High Dimensional Normality of Noisy Eigenvectors (2020) (19)
Metastability of Ginzburg-Landau model with a conservation law (1994) (19)
Derivation of the Euler Equations from Quantum Dynamics (2002) (16)
Superdiffusivity of Two Dimensional Lattice Gas Models (2005) (16)
The N Law for Charged Bosons (2004) (15)
Derivation of the nonlinear Schr\"odinger equation with Coulomb potential (2001) (15)
Bulk diffusivity of lattice gases close to criticality (1995) (14)
Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation. (1998) (12)
Towards the Quantum Brownian Motion (2005) (12)
Convergence to equilibrium of conservative particle systems on $\mathbb{Z}^{\bm{d}}$ (2003) (11)
Large deviations of interacting particle systems in infinite volume (2010) (11)
An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices (2022) (10)
Dynamical Approach to the TAP Equations for the Sherrington–Kirkpatrick Model (2021) (10)
CONVERGENCE TO EQUILIBRIUM OF CONSERVATIVE PARTICLE SYSTEMS ON Z d (2003) (10)
Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation (2013) (9)
Local circular law for random matrices (2013) (9)
asymmetric simple exclusion process (2016) (9)
Spectrum of Random $d$-regular Graphs Up to the Edge (2021) (7)
The work of Cédric Villani (2011) (6)
Delocalization and quantum diffusion of random band matrices in high dimensions I: Self-energy renormalization (2021) (5)
Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues (2012) (5)
Edge Universality of Sparse Random Matrices (2022) (5)
Derivation of the Euler equations from many-body quantum mechanics (2002) (4)
Rigorous Derivation of the Gross-Pitaevskii Equation: the Case of a Strong Potential (2008) (4)
Delocalization and Quantum Diffusion of Random Band Matrices in High Dimensions II: T-expansion (2021) (4)
Global eigenvalue distribution of matrices defined by the skew-shift (2019) (3)
A Note on the Replica Symmetric Formula for the SK Model (2021) (3)
Convection ± di usion equation with space ± time ergodic random (1998) (3)
Local Kesten–McKay Law for Random Regular Graphs (2019) (2)
The replica symmetric formula for the SK model revisited (2021) (2)
Stability of relativistic Coulomb and gravitating systems (1989) (2)
Local spectral stability for random regular graphs of fixed degree (2016) (2)
Universality of generalized Wigner matrices (2012) (2)
The local circular law II: the edge case (2013) (2)
Lectures on Partial Differential Equations: Proceedings in honor of Louis Nirenberg's 75th Birthday (2003) (2)
Diffusive Limit of the Asymmetric Simple Exclusion: The Navier-Stokes Correction (1994) (2)
Bulk universality and quantum unique ergodicity for random band matrices in high dimensions (2022) (2)
Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday (2012) (1)
Edge Universality of Random Regular Graphs of Growing Degrees (2023) (1)
Local circular law for random matrices The Harvard community has made this article openly available. Please share how this access benefits you. Your story matters (2013) (1)
Poincare inequalities for inhomogeneous Bernoulli measures (2003) (1)
Feynman graphs and renormalization in quantum diffusion (2008) (1)
The Eigenvector Moment Flow and Local Quantum Unique Ergodicity (2016) (1)
Derivation of the Gross-Pitaevskii Equation from Quantum Dynamics of Many-Body Systems (2005) (1)
Derivation of the Euler Equation from Hamiltonian Systems with Negligible Random Noise (1992) (1)
Ju n 20 06 Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate (2008) (0)
0 41 00 05 v 2 5 O ct 2 00 4 Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate (2008) (0)
The Wigner-Dyson-Gaudin-Mehta Conjecture (2013) (0)
Scaling Limits for Lattice Gas Models (2020) (0)
Diiusive Limit of Asymmetric Simple Exclusion Dedicated to Elliott Lieb for His Sixtieth Birthday (1994) (0)
In Memoriam: Freeman Dyson (1923–2020) (2021) (0)
PR ] 4 D ec 2 01 3 Local Circular Law for Random Matrices (2013) (0)
On the principal components of sample covariance matrices (2015) (0)
fMathematik in den Naturwissenschaften Leipzig Quantum diffusion of the random Schr¨ evolution in the scaling limit I. The non-recollision diagrams. (2006) (0)
Global and Local Limit Laws for Eigenvalues of the Gaussian Unitary Ensemble and the Wishart Ensemble (2010) (0)
Delocalization and Diffusion Profile for Random Band Matrices (2013) (0)
Local Density for Two-Dimensional One-Component Plasma (2017) (0)
Convergence of Local Statistics of Dyson Brownian Motion (2017) (0)
Averaging Fluctuations in Resolvents of Random Band Matrices (2013) (0)
0 41 00 05 v 3 1 9 O ct 2 00 5 Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate (2008) (0)
Random Band Matrices in the Delocalized Phase, II: Generalized Resolvent Estimates (2019) (0)
Edge Universality of Beta Ensembles (2014) (0)
The Work of Cédric (2010) (0)
Editorial (2013) (0)
Talenti’s comparison theorem revisited (2018) (0)
The Two Point Function of the SK Model without External Field at High Temperature (2022) (0)
2 7 Ja n 20 07 Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations (2007) (0)
0 60 60 17 v 3 1 0 D ec 2 00 6 Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate (2008) (0)
Institute for Mathematical Physics Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schrr Odinger Equation Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schr Odinger Equation (2009) (0)
Navier-stokes Equations for Stochastic Lattice Gases Typeset Using Revt E X (0)
A Half-Century of CMP (2016) (0)
A Half-Century of CMP (2016) (0)
121st Statistical Mechanics Conference Rutgers University, Busch Campus, Hill Center Room 114, Sunday, May 12, 2019–Tuesday May 14, 2019 Guests of Honor: Curtis Callan, Nigel Goldenfeld, and Horng-Tzer Yau (2019) (0)
1 5 J un 2 00 6 Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate (2008) (0)
Math 288-Probability Theory and Stochastic Process (2018) (0)
Universality: Random Matrices, Random Geometry and SPDEs (2023) (0)
ERRATUM: "DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION" (1996) (0)
Spectral Gap Estimates for Mixed $p$-Spin Models at High Temperature (2022) (0)
Bulk universality for generalized Wigner matrices (2011) (0)

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