Horng‐Tzer Yau

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All published works

Action	Title	Year	Authors
+ PDF Chat	Ramanujan Property and Edge Universality of Random Regular Graphs	2024	Jiaoyang Huang Theo McKenzie Horng‐Tzer Yau
+ PDF Chat	Optimal Eigenvalue Rigidity of Random Regular Graphs	2024	Jiaoyang Huang Theo McKenzie Horng‐Tzer Yau
+ PDF Chat	Bulk universality and quantum unique ergodicity for random band matrices in high dimensions	2024	Changji Xu Fan Yang Horng‐Tzer Yau Jun Yin
+ PDF Chat	Gaussian statistics for left and right eigenvectors of complex non-Hermitian matrices	2024	Sofiia Dubova Kevin Yang Horng‐Tzer Yau Jun Yin
+	Spectral gap estimates for mixed p-spin models at high temperature	2024	Arka Adhikari Christian Brennecke Changji Xu Horng‐Tzer Yau
+	The two point function of the SK model without external field at high temperature	2024	Christian Brennecke Adrien Schertzer Changji Xu Horng‐Tzer Yau
+ PDF	Spectrum of random <i>d</i>‐regular graphs up to the edge	2023	Jiaoyang Huang Horng‐Tzer Yau
+	Universality: Random Matrices, Random Geometry and SPDEs	2023	Martin Hairer Grégory Miermont Horng‐Tzer Yau
+	Edge Universality of Random Regular Graphs of Growing Degrees	2023	Jiaoyang Huang Horng‐Tzer Yau
+	Operator Norm Bounds on the Correlation Matrix of the SK Model at High Temperature	2023	Christian Brennecke Changji Xu Horng‐Tzer Yau
+	Universality for the global spectrum of random inner-product kernel matrices in the polynomial regime	2023	Sofiia Dubova Yue M. Lu Benjamin McKenna Horng‐Tzer Yau
+ PDF Chat	High Dimensional Normality of Noisy Eigenvectors	2022	Jake Marcinek Horng‐Tzer Yau
+ PDF Chat	Delocalization and Quantum Diffusion of Random Band Matrices in High Dimensions II: T-expansion	2022	Fan Yang Horng‐Tzer Yau Jun Yin
+ PDF Chat	The replica symmetric formula for the SK model revisited	2022	Christian Brennecke Horng‐Tzer Yau
+	An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings	2022	Yue M. Lu Horng‐Tzer Yau
+	Bulk universality and quantum unique ergodicity for random band matrices in high dimensions	2022	Changji Xu Fan Yang Horng‐Tzer Yau Jun Yin
+	Spectral Gap Estimates for Mixed $p$-Spin Models at High Temperature	2022	Arka Adhikari Christian Brennecke Changji Xu Horng‐Tzer Yau
+	The Two Point Function of the SK Model without External Field at High Temperature	2022	Christian Brennecke Adrien Schertzer Changji Xu Horng‐Tzer Yau
+	Edge Universality of Sparse Random Matrices	2022	Jiaoyang Huang Horng‐Tzer Yau
+	A Note on the Replica Symmetric Formula for the SK Model	2021	Christian Brennecke Horng‐Tzer Yau
+ PDF Chat	Global eigenvalue distribution of matrices defined by the skew-shift	2021	Arka Adhikari Marius Lemm Horng‐Tzer Yau
+ PDF Chat	Dynamical Approach to the TAP Equations for the Sherrington–Kirkpatrick Model	2021	Arka Adhikari Christian Brennecke Per von Soosten Horng‐Tzer Yau
+	GOE statistics for Lévy matrices	2021	Amol Aggarwal Patrick Lopatto Horng‐Tzer Yau
+	Spectrum of Random $d$-regular Graphs Up to the Edge	2021	Jiaoyang Huang Horng‐Tzer Yau
+	Delocalization and quantum diffusion of random band matrices in high dimensions I: Self-energy renormalization	2021	Fan Yang Horng‐Tzer Yau Jun Yin
+	Delocalization and quantum diffusion of random band matrices in high dimensions II: $T$-expansion	2021	Fan Yang Horng‐Tzer Yau Jun Yin
+ PDF Chat	Edge rigidity and universality of random regular graphs of intermediate degree	2020	Roland Bauerschmidt Jiaoyang Huang Antti Knowles Horng‐Tzer Yau
+ PDF Chat	Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality	2020	Paul Bourgade Horng‐Tzer Yau Jun Yin
+ PDF	Transition from Tracy–Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős–Rényi graphs	2020	Jiaoyang Huang Benjamin Landon Horng‐Tzer Yau
+	High dimensional normality of noisy eigenvectors	2020	Jake Marcinek Horng‐Tzer Yau
+ PDF	Local Kesten–McKay Law for Random Regular Graphs	2019	Roland Bauerschmidt Jiaoyang Huang Horng‐Tzer Yau
+ PDF	Fixed energy universality of Dyson Brownian motion	2019	Benjamin Landon Philippe Sosoe Horng‐Tzer Yau
+	Dynamics of Deep Neural Networks and Neural Tangent Hierarchy	2019	Jiaoyang Huang Horng‐Tzer Yau
+ PDF Chat	The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem	2019	Roland Bauerschmidt Paul Bourgade Miika Nikula Horng‐Tzer Yau
+	GOE Statistics for Levy Matrices	2018	Amol Aggarwal Patrick Lopatto Horng‐Tzer Yau
+	Random band matrices in the delocalized phase, I: Quantum unique ergodicity and universality	2018	Paul Bourgade Horng‐Tzer Yau Jun Yin
+	GOE Statistics for Levy Matrices	2018	Amol Aggarwal Patrick Lopatto Horng‐Tzer Yau
+	Edge statistics of Dyson Brownian motion	2017	Benjamin Landon Horng‐Tzer Yau
+	Bulk eigenvalue statistics for random regular graphs	2017	Roland Bauerschmidt Jiaoyang Huang Antti Knowles Horng‐Tzer Yau
+	Bulk eigenvalue statistics for random regular graphs	2017	Roland Bauerschmidt Jiaoyang Huang Antti Knowles Horng‐Tzer Yau
+	A Dynamical Approach to Random Matrix Theory	2017	László Erdős Horng‐Tzer Yau
+	Universality of the Dyson Brownian motion	2017	LÃ¡szlÃ ErdÅs Horng‐Tzer Yau
+	Sketch of the proof of the local semicircle law using the spectral gap	2017	LÃ¡szlÃ ErdÅs Horng‐Tzer Yau
+	Universality for generalized Wigner matrices	2017	LÃ¡szlÃ ErdÅs Horng‐Tzer Yau
+ PDF	Local semicircle law for universal Wigner matrices	2017	LÃ¡szlÃ ErdÅs Horng‐Tzer Yau
+ PDF Chat	Convergence of Local Statistics of Dyson Brownian Motion	2017	Benjamin Landon Horng‐Tzer Yau
+ PDF Chat	Local Semicircle Law for Random Regular Graphs	2017	Roland Bauerschmidt Antti Knowles Horng‐Tzer Yau
+	Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs	2017	Jiaoyang Huang Benjamin Landon Horng‐Tzer Yau
+ PDF Chat	Universality for a class of random band matrices	2017	Paul Bourgade László Erdős Horng‐Tzer Yau Jun Yin
+	Eigenvector statistics of sparse random matrices	2017	Paul Bourgade Jiaoyang Huang Horng‐Tzer Yau
+	Edge statistics of Dyson Brownian motion	2017	Benjamin Landon Horng‐Tzer Yau
+	Eigenvector Statistics of Sparse Random Matrices	2016	Paul Bourgade Jiaoyang Huang Horng‐Tzer Yau
+	Local spectral stability for random regular graphs of fixed degree	2016	Roland Bauerschmidt Jiaoyang Huang Horng‐Tzer Yau
+	Fixed energy universality for Dyson Brownian motion	2016	Benjamin Landon Philippe Sosoe Horng‐Tzer Yau
+	Bulk universality for deformed Wigner matrices	2016	Ji Oon Lee Kevin Schnelli Ben Stetler Horng‐Tzer Yau
+	Universality for a class of random band matrices	2016	Paul Bourgade László Erdős Horng‐Tzer Yau Jun Yin
+	Fixed energy universality for Dyson Brownian motion	2016	Benjamin Landon Philippe Sosoe Horng‐Tzer Yau
+	Eigenvector Statistics of Sparse Random Matrices	2016	Paul Bourgade Jiaoyang Huang Horng‐Tzer Yau
+ PDF Chat	Fixed Energy Universality for Generalized Wigner Matrices	2015	Paul Bourgade László Erdős Horng‐Tzer Yau Jun Yin
+ PDF Chat	Bulk universality of sparse random matrices	2015	Jiaoyang Huang Benjamin Landon Horng‐Tzer Yau
+ PDF	Gap universality of generalized Wigner and $\beta$-ensembles	2015	László Erdős Horng‐Tzer Yau
+	Convergence of local statistics of Dyson Brownian motion	2015	Benjamin Landon Horng‐Tzer Yau
+ PDF	On the principal components of sample covariance matrices	2015	Alex Bloemendal Antti Knowles Horng‐Tzer Yau Jun Yin
+	Convergence of local statistics of Dyson Brownian motion	2015	Benjamin Landon Horng‐Tzer Yau
+ PDF Chat	Edge Universality of Beta Ensembles	2014	Paul Bourgade László Erdős Horng‐Tzer Yau
+ PDF	Isotropic local laws for sample covariance and generalized Wigner matrices	2014	Alex Bloemendal László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+	On the principal components of sample covariance matrices	2014	Alex Bloemendal Antti Knowles Horng‐Tzer Yau Jun Yin
+	The Eigenvector Moment Flow and local Quantum Unique Ergodicity	2013	Paul Bourgade Horng‐Tzer Yau
+ PDF Chat	Delocalization and Diffusion Profile for Random Band Matrices	2013	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+ PDF	The local circular law II: the edge case	2013	Paul Bourgade Horng‐Tzer Yau Jun Yin
+ PDF	Local circular law for random matrices	2013	Paul Bourgade Horng‐Tzer Yau Jun Yin
+	Spectral statistics of Erdős–Rényi graphs I: Local semicircle law	2013	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+ PDF	Averaging Fluctuations in Resolvents of Random Band Matrices	2013	László Erdős Antti Knowles Horng‐Tzer Yau
+ PDF	The local semicircle law for a general class of random matrices	2013	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+ PDF	The Wigner-Dyson-Gaudin-Mehta Conjecture	2013	Horng‐Tzer Yau
+	Isotropic Local Laws for Sample Covariance and Generalized Wigner Matrices	2013	Alex Bloemendal László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+	The Eigenvector Moment Flow and local Quantum Unique Ergodicity	2013	Paul Bourgade Horng‐Tzer Yau
+	Gap Universality of Generalized Wigner and beta-Ensembles	2012	László Erdős Horng‐Tzer Yau
+	Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday	2012	Bruno Nachtergaele Jan Philip Solovej Horng‐Tzer Yau
+ PDF Chat	Bulk universality of general β-ensembles with non-convex potential	2012	Paul Bourgade László Erdős Horng‐Tzer Yau
+ PDF Chat	Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues	2012	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+	Universality of generalized Wigner matrices	2012	Horng‐Tzer Yau
+ PDF	Universality of local spectral statistics of random matrices	2012	László Erdős Horng‐Tzer Yau
+	A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices	2012	László Erdős Horng‐Tzer Yau
+ PDF	The local relaxation flow approach to universality of the local statistics for random matrices	2012	László Erdős Benjamin Schlein Horng‐Tzer Yau Jun Yin
+ PDF	A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices	2012	László Erdős Horng‐Tzer Yau
+	The Local Semicircle Law for a General Class of Random Matrices	2012	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+	The local circular law II: the edge case	2012	Paul Bourgade Horng‐Tzer Yau Jun Yin
+	Local Circular Law for Random Matrices	2012	Paul Bourgade Horng‐Tzer Yau Jun Yin
+	Gap Universality of Generalized Wigner and beta-Ensembles	2012	László Erdős Horng‐Tzer Yau
+	A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices	2012	László Erdős Horng‐Tzer Yau
+ PDF	Rigidity of eigenvalues of generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin
+ PDF	Bulk universality for generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin
+	Universality of local spectral statistics of random matrices	2011	László Erdős Horng‐Tzer Yau
+ PDF	The work of Cédric Villani	2011	Horng‐Tzer Yau
+ PDF	Universality for generalized Wigner matrices with Bernoulli distribution	2011	László Erdős Horng‐Tzer Yau Jun Yin
+	Universality of local spectral statistics of random matrices	2011	László Erdős Horng‐Tzer Yau
+ PDF	Universality of random matrices and local relaxation flow	2010	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF	Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate	2010	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF	Bulk universality for Wigner matrices	2010	László Erdős Sandrine Péché José A. Ramı́rez Benjamin Schlein Horng‐Tzer Yau
+	Universality for generalized Wigner matrices with Bernoulli distribution	2010	László Erdős Horng‐Tzer Yau Jun Yin
+ PDF	Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation	2010	László Erdős José A. Ramı́rez Benjamin Schlein Horng‐Tzer Yau
+	On a Classical Limit of Quantum Theory and the Non-Linear Hartree Equation	2010	Jürg Fröhlich Tai‐Peng Tsai Horng‐Tzer Yau
+	Rigidity of Eigenvalues of Generalized Wigner Matrices	2010	László Erdős Horng‐Tzer Yau Jun Yin
+	Bulk universality for generalized Wigner matrices	2010	László Erdős Horng‐Tzer Yau Jun Yin
+ PDF	Bulk universality for Wigner hermitian matrices with subexponential decay	2010	László Erdős José A. Ramı́rez Benjamin Schlein Terence Tao Van Vu Horng‐Tzer Yau
+ PDF	Wegner Estimate and Level Repulsion for Wigner Random Matrices	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Universality of Random Matrices and Local Relaxation Flow	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF	The Second Order Upper Bound for the Ground Energy of a Bose Gas	2009	Horng‐Tzer Yau Jun Yin
+	Bulk universality for Wigner hermitian matrices with subexponential decay	2009	László Erdős José A. Ramı́rez Benjamin Schlein Terence Tao Van Vu Horng‐Tzer Yau
+	Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation	2009	László Erdős José A. Ramı́rez Benjamin Schlein Horng‐Tzer Yau
+	Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF	Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II	2009	Chiun‐Chuan Chen Robert M. Strain Tai‐Peng Tsai Horng‐Tzer Yau
+	Bulk Universality for Wigner Matrices	2009	László Erdős Sandrine Péché José A. Ramı́rez Benjamin Schlein Horng‐Tzer Yau
+	The local relaxation flow approach to universality of the local statistics for random matrices	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau Jun Yin
+	Bulk universality for Wigner hermitian matrices with subexponential decay	2009	László Erdős José Luis Ramírez Benjamin Schlein Terence Tao Van Vu Horng‐Tzer Yau
+	Universality of Random Matrices and Local Relaxation Flow	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Universality of sine-kernel for Wigner matrices with a small Gaussian perturbation	2009	László Erdős José A. Ramirez Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	Ground-state energy of a low-density Bose gas: A second-order upper bound	2008	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	FEYNMAN GRAPHS AND RENORMALIZATION IN QUANTUM DIFFUSION	2008	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+ PDF	Local Semicircle Law and Complete Delocalization for Wigner Random Matrices	2008	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Rigorous Derivation of the Gross-Pitaevskii Equation: the Case of a Strong Potential	2008	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Wegner estimate and level repulsion for Wigner random matrices	2008	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Feynman graphs and renormalization in quantum diffusion	2008	Laszlo Erdoes Manfred Salmhofer Horng‐Tzer Yau
+ PDF	Quantum diffusion of the random Schrödinger evolution in the scaling limit	2008	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+ PDF Chat	Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations	2008	Chiun‐Chuan Chen Robert M. Strain Horng‐Tzer Yau Tai‐Peng Tsai
+ PDF	Quantum Diffusion for the Anderson Model in the Scaling Limit	2007	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+ PDF	Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams	2007	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+ PDF Chat	Rigorous Derivation of the Gross-Pitaevskii Equation	2007	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems	2006	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics	2006	Élliott H. Lieb Horng‐Tzer Yau
+ PDF Chat	Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate	2006	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	Towards the Quantum Brownian Motion	2006	László Erd os Manfred Salmhofer Horng‐Tzer Yau
+	fMathematik in den Naturwissenschaften Leipzig Quantum diffusion of the random Schr¨ evolution in the scaling limit I. The non-recollision diagrams.	2006	Manfred Salmhofer Horng‐Tzer Yau
+	Derivation of the Gross-Pitaevskii Equation for the Dynamics of Bose-Einstein Condensate	2006	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Derivation of the Gross-Pitaevskii Equation from Quantum Dynamics of Many-Body Systems	2005	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons	2005	Alexander Elgart László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	Superdiffusivity of Two Dimensional Lattice Gas Models	2005	Cláudio Landim José A. Ramı́rez Horng‐Tzer Yau
+	Quantum diffusion of the random Schrodinger evolution in the scaling limit II. The recollision diagrams	2005	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+	Quantum diffusion of the random Schrodinger evolution in the scaling limit	2005	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+	Towards the quantum Brownian motion	2005	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+	Quantum diffusion for the Anderson model in the scaling limit	2005	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+ PDF Chat	Nonlinear Hartree equation as the mean field limit of weakly coupled fermions	2004	Alexander Elgart László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	On the Quantum Boltzmann Equation	2004	László Erdős Manfred Salmhofer Horng‐Tzer Yau
+ PDF	(logt)<sup>2∕3</sup>law of the two dimensional asymmetric simple exclusion process	2004	Horng‐Tzer Yau
+	Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons	2004	Alexander Elgart László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Derivation of the Gross-Pitaevskii Hierarchy for the Dynamics of Bose-Einstein Condensate	2004	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	Derivation of the Euler Equations from Quantum Dynamics	2003	Bruno Nachtergaele Horng‐Tzer Yau
+	Poincare inequalities for inhomogeneous Bernoulli measures	2003	Jeremy Quastel Horng‐Tzer Yau
+	Nonlinear Hartree equation as the mean field limit of weakly coupled fermions	2003	Alexander Elgart László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF	STABLE DIRECTIONS FOR EXCITED STATES OF NONLINEAR SCHRÖDINGER EQUATIONS	2002	Tai‐Peng Tsai Horng‐Tzer Yau
+	On the Point-Particle (Newtonian) Limit¶of the Non-Linear Hartree Equation	2002	Jürg Fröhlich Tai‐Peng Tsai Horng‐Tzer Yau
+ PDF	None	2002	Tai‐Peng Tsai Horng‐Tzer Yau
+	Derivation of the Euler equations from many-body quantum mechanics	2002	Bruno Nachtergaele Horng‐Tzer Yau
+ PDF	Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data	2002	Tai‐Peng Tsai Horng‐Tzer Yau
+	Classification of Asymptotic Profiles for Nonlinear Schrödinger Equations with Small Initial Data	2002	Tai‐Peng Tsai Horng‐Tzer Yau
+	$(\log t)^{2/3}$ law of the two dimensional asymmetric simple exclusion process	2002	Horng‐Tzer Yau
+ PDF	Asymptotic dynamics of nonlinear Schrödinger equations: Resonance‐dominated and dispersion‐dominated solutions	2001	Tai‐Peng Tsai Horng‐Tzer Yau
+	Derivation of the nonlinear Schr\"odinger equation with Coulomb potential	2001	László Erdős Horng‐Tzer Yau
+	Stable Directions for Excited States of Nonlinear Schr\"odinger Equations	2001	Tai‐Peng Tsai Horng‐Tzer Yau
+	Derivation of the nonlinear Schrödinger equation from a many body Coulomb system	2001	László Erdős Horng‐Tzer Yau
+	Relaxation of Excited States in Nonlinear Schrödinger Equations	2001	Tai‐Peng Tsai Horng‐Tzer Yau
+ PDF	Derivation of the nonlinear Schrödinger equation from a many-body Coulomb system	2001	László Erdős Horng‐Tzer Yau
+	The Stability and Instability of Relativistic Matter	2001	Élliott H. Lieb Horng‐Tzer Yau
+	The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics	2001	Élliott H. Lieb Horng‐Tzer Yau
+	Stable Directions for Excited States of Nonlinear Schrödinger Equations	2001	Tai‐Peng Tsai Horng‐Tzer Yau
+	Diffusive limit of a tagged particle in asymmetric simple exclusion processes	2000	Sunder Sethuraman S. R. S. Varadhan Horng‐Tzer Yau
+ PDF	Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation	2000	László Erdős Horng‐Tzer Yau
+	Asymptotic Dynamics of Nonlinear Schrodinger Equations: Resonance Dominated and Radiation Dominated Solutions	2000	Tai‐Peng Tsai Horng‐Tzer Yau
+	Diffusive limit of a tagged particle in asymmetric simple exclusion processes	2000	Sunder Sethuraman S. R. S. Varadhan Horng‐Tzer Yau
+ PDF	Logarithmic Sobolev inequality for some models of random walks	1998	Tzong-Yow Lee Horng‐Tzer Yau
+	Scaling limit of particle systems, incompressible Navier-Stokes equation and Boltzmann equation	1998	Horng‐Tzer Yau
+ PDF	Linear Boltzmann equation as scaling limit of quantum Lorentz gas	1998	László Erdős Horng‐Tzer Yau
+ PDF	Logarithmic Sobolev inequality for generalized simple exclusion processes	1997	Horng‐Tzer Yau
+ PDF	Diffusive limit of lattice gas with mixing conditions	1997	S. R. S. Varadhan Horng‐Tzer Yau
+	Many-Body Stability Implies a Bound on the Fine-Structure Constant	1997	Élliott H. Lieb Horng‐Tzer Yau
+	The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics	1997	Élliott H. Lieb Horng‐Tzer Yau
+ PDF	Logarithmic Sobolev inequality for lattice gases with mixing conditions	1996	Horng‐Tzer Yau
+	Large deviations of interacting particle systems in infinite volume	1995	Cláudio Landim Horng‐Tzer Yau
+ PDF	Bulk diffusivity of lattice gases close to criticality	1995	Herbert Spohn Horng‐Tzer Yau
+	Metastability of Ginzburg-Landau model with a conservation law	1994	Horng‐Tzer Yau
+ PDF	Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics	1993	Sheng Lin Lu Horng‐Tzer Yau
+	Many-Body Stability Implies a Bound on the Fine-Structure Constant	1991	Élliott H. Lieb Horng‐Tzer Yau
+	The Stability and Instability of Relativistic Matter	1991	Élliott H. Lieb Horng‐Tzer Yau
+	The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics	1991	Élliott H. Lieb Horng‐Tzer Yau
+	Many-Body Stability Implies a Bound on the Fine-Structure Constant	1988	Élliott H. Lieb Horng‐Tzer Yau
+ PDF	The stability and instability of relativistic matter	1988	Élliott H. Lieb Horng‐Tzer Yau
+ PDF	The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics	1987	Élliott H. Lieb Horng‐Tzer Yau

Common Coauthors

Coauthor	Papers Together
László Erdős	74
Jun Yin	32
Benjamin Schlein	31
Jiaoyang Huang	18
Paul Bourgade	17
Antti Knowles	14
Tai‐Peng Tsai	13
Manfred Salmhofer	12
Élliott H. Lieb	11
Benjamin Landon	11
Christian Brennecke	8
Changji Xu	7
Roland Bauerschmidt	7
José A. Ramı́rez	7
Alexander Elgart	4
LÃ¡szlÃ ErdÅs	4
Arka Adhikari	4
Alex Bloemendal	4
Fan Yang	4
S. R. S. Varadhan	3
Van Vu	3
Philippe Sosoe	3
Patrick Lopatto	3
Terence Tao	3
Amol Aggarwal	3
Bruno Nachtergaele	3
Adrien Schertzer	2
Jürg Fröhlich	2
Theo McKenzie	2
Chiun‐Chuan Chen	2
Jake Marcinek	2
Cláudio Landim	2
Yue M. Lu	2
Sandrine Péché	2
Sunder Sethuraman	2
Robert M. Strain	2
Sofiia Dubova	2
José A. Ramirez	1
Jeremy Quastel	1
Kevin Schnelli	1
Martin Hairer	1
Herbert Spohn	1
Marius Lemm	1
Miika Nikula	1
Grégory Miermont	1
Tzong-Yow Lee	1
Jan Philip Solovej	1
Per von Soosten	1
Kevin Yang	1
Jun Yin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Bulk universality for generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin	47
+ PDF	Universality of random matrices and local relaxation flow	2010	László Erdős Benjamin Schlein Horng‐Tzer Yau	47
+ PDF	Bulk universality for Wigner matrices	2010	László Erdős Sandrine Péché José A. Ramı́rez Benjamin Schlein Horng‐Tzer Yau	45
+ PDF	Random matrices: Universality of local eigenvalue statistics	2011	Terence Tao Van H. Vu	40
+ PDF	The local relaxation flow approach to universality of the local statistics for random matrices	2012	László Erdős Benjamin Schlein Horng‐Tzer Yau Jun Yin	37
+ PDF	Rigidity of eigenvalues of generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin	37
+ PDF	Local Semicircle Law and Complete Delocalization for Wigner Random Matrices	2008	László Erdős Benjamin Schlein Horng‐Tzer Yau	36
+ PDF Chat	Universality of the Local Spacing Distribution¶in Certain Ensembles of Hermitian Wigner Matrices	2001	Kurt Johansson	36
+ PDF	Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation	2010	László Erdős José A. Ramı́rez Benjamin Schlein Horng‐Tzer Yau	35
+ PDF	Semicircle law on short scales and delocalization of eigenvectors for Wigner random matrices	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau	32
+ PDF	Wegner Estimate and Level Repulsion for Wigner Random Matrices	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau	30
+ PDF Chat	Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues	2012	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin	29
+ PDF	Universality for generalized Wigner matrices with Bernoulli distribution	2011	László Erdős Horng‐Tzer Yau Jun Yin	28
+ PDF	Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge	2010	Terence Tao Van Vu	27
+ PDF Chat	Bulk Universality and Related Properties of Hermitian Matrix Models	2007	L. А. Pastur Mariya Shcherbina	25
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift	25
+ PDF	The local semicircle law for a general class of random matrices	2013	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin	24
+	Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory	1999	Percy Deift T. Kriecherbauer K. T-R McLaughlin Stephanos Venakides Xin Zhou	24
+ PDF Chat	Semiclassical Asymptotics of Orthogonal Polynomials, Riemann-Hilbert Problem, and Universality in the Matrix Model	1999	Pavel Bleher Alexander Its	24
+	A Brownian-Motion Model for the Eigenvalues of a Random Matrix	1962	Freeman J. Dyson	24
+ PDF Chat	Universality at the Edge of the Spectrum¶in Wigner Random Matrices	1999	Alexander Soshnikov	24
+ PDF	Bulk universality for Wigner hermitian matrices with subexponential decay	2010	László Erdős José A. Ramı́rez Benjamin Schlein Terence Tao Van Vu Horng‐Tzer Yau	23
+	Spectral statistics of Erdős–Rényi graphs I: Local semicircle law	2013	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin	23
+	Bulk universality for generalized Wigner matrices	2010	László Erdős Horng‐Tzer Yau Jun Yin	22
+ PDF	Universality of local eigenvalue statistics for some sample covariance matrices	2004	Gérard Ben Arous Sandrine Péché	21
+ PDF Chat	Fixed Energy Universality for Generalized Wigner Matrices	2015	Paul Bourgade László Erdős Horng‐Tzer Yau Jun Yin	20
+	Strong asymptotics of orthogonal polynomials with respect to exponential weights	1999	Percy Deift Thomas Kriecherbauer K. T‐R McLaughlin Stephanos Venakides Xiaowen Zhou	20
+	Characteristic Vectors of Bordered Matrices with Infinite Dimensions II	1993	E. P. Wigner	20
+ PDF	The spectral edge of some random band matrices	2010	Sasha Sodin	19
+ PDF Chat	The Eigenvector Moment Flow and Local Quantum Unique Ergodicity	2016	Paul Bourgade H. T. Yau	18
+ PDF Chat	Bulk universality of sparse random matrices	2015	Jiaoyang Huang Benjamin Landon Horng‐Tzer Yau	18
+	Random Matrix Theory: Invariant Ensembles and Universality	2009	Percy Deift Dimitri Gioev	17
+ PDF	Eigenvector distribution of Wigner matrices	2011	Antti Knowles Jun Yin	17
+ PDF Chat	Local Semicircle Law for Random Regular Graphs	2017	Roland Bauerschmidt Antti Knowles Horng‐Tzer Yau	16
+ PDF	Universality of local spectral statistics of random matrices	2012	László Erdős Horng‐Tzer Yau	16
+ PDF Chat	Correlations of nearby levels induced by a random potential	1996	E. Brézin S. Hikami	16
+ PDF	On the free convolution with a semi-circular distribution	1997	Philippe Biane	14
+ PDF Chat	Convergence of Local Statistics of Dyson Brownian Motion	2017	Benjamin Landon Horng‐Tzer Yau	14
+ PDF Chat	On orthogonal and symplectic matrix ensembles	1996	Craig A. Tracy Harold Widom	14
+	The Functional Calculus	1995	E. B. Davies	13
+ PDF Chat	Delocalization and Diffusion Profile for Random Band Matrices	2013	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin	13
+ PDF Chat	Universality of general β-ensembles	2014	Paul Bourgade László Erdős H. T. Yau	13
+	Localization at large disorder and at extreme energies: An elementary derivations	1993	Michael Aizenman Stanislav Molchanov	12
+ PDF Chat	Density of states for Random Band Matrix	2002	Margherita Disertori Haru T. Pinson Thomas Spencer	12
+	Wegner estimate and level repulsion for Wigner random matrices	2008	László Erdős Benjamin Schlein Horng‐Tzer Yau	12
+ PDF	An Introduction to Random Matrices	2009	Greg W. Anderson Alice Guionnet Ofer Zeitouni	12
+ PDF	Gap universality of generalized Wigner and $\beta$-ensembles	2015	László Erdős Horng‐Tzer Yau	12
+ PDF	The classical limit for quantum mechanical correlation functions	1974	K. Hepp	12
+ PDF	Isotropic local laws for sample covariance and generalized Wigner matrices	2014	Alex Bloemendal László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin	11
+ PDF	Averaging Fluctuations in Resolvents of Random Band Matrices	2013	László Erdős Antti Knowles Horng‐Tzer Yau	11