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1

Universality of general $\beta$ -ensembles

Bourgade, Paul, Erdős, László, Yau, Horng-Tzer

Journal:

Duke Mathematical Journal

Year:

2014

Language:

english

File:

PDF, 563 KB

english, 2014

2

$(\text{log}\ t)^{2/3}$Law of the Two Dimensional Asymmetric Simple Exclusion Process

Journal:

Annals of Mathematics

Year:

2004

Language:

english

File:

PDF, 568 KB

english, 2004

3

RIGOROUS DERIVATION OF THE GROSS-PITAEVSKII EQUATION WITH A LARGE INTERACTION POTENTIAL

LÁSZLÓ ERDŐS, BENJAMIN SCHLEIN and HORNG-TZER YAU

Journal:

Journal of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 3.03 MB

english, 2009

4

Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation

László Erdős, Horng-Tzer Yau

Journal:

Communications on Pure and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 392 KB

english, 2000

5

The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics

Elliott H. Lieb, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

1987

Language:

english

File:

PDF, 1.78 MB

english, 1987

6

The stability and instability of relativistic matter

Elliott H. Lieb, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 2.23 MB

english, 1988

7

On the Point-Particle (Newtonian) Limit¶of the Non-Linear Hartree Equation

Jürg Fröhlich, Tai-Peng Tsai, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 349 KB

english, 2002

8

Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems

László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Inventiones mathematicae

Year:

2007

Language:

english

File:

PDF, 1.08 MB

english, 2007

9

Universality of random matrices and local relaxation flow

László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Inventiones mathematicae

Year:

2011

Language:

english

File:

PDF, 1.20 MB

english, 2011

10

Superdiffusivity of Two Dimensional Lattice Gas Models

Claudio Landim, José A. Ramírez, Horng-Tzer Yau

Journal:

Journal of Statistical Physics

Year:

2005

Language:

english

File:

PDF, 294 KB

english, 2005

11

The Second Order Upper Bound for the Ground Energy of a Bose Gas

Horng-Tzer Yau, Jun Yin

Journal:

Journal of Statistical Physics

Year:

2009

Language:

english

File:

PDF, 884 KB

english, 2009

12

Quantum diffusion of the random Schrödinger evolution in the scaling limit

László Erdős, Manfred Salmhofer, Horng-Tzer Yau

Journal:

Acta Mathematica

Year:

2008

Language:

english

File:

PDF, 715 KB

english, 2008

13

Rigidity of eigenvalues of generalized Wigner matrices

László Erdős, Horng-Tzer Yau, Jun Yin

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 540 KB

english, 2012

14

Lower Bounds on the Blow-Up Rate of the Axisymmetric Navier–Stokes Equations II

Chen, Chiun-Chuan, Strain, Robert M., Tsai, Tai-Peng, Yau, Horng-Tzer

Journal:

Communications in Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 240 KB

english, 2009

15

Rigorous Derivation of the Gross-Pitaevskii Equation

Erdős, László, Schlein, Benjamin, Yau, Horng-Tzer

Journal:

Physical Review Letters

Year:

2007

Language:

english

File:

PDF, 129 KB

english, 2007

16

Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential

Erdős, László, Schlein, Benjamin, Yau, Horng-Tzer

Journal:

Journal of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 653 KB

english, 2009

17

Convergence of Local Statistics of Dyson Brownian Motion

Landon, Benjamin, Yau, Horng-Tzer

Journal:

Communications in Mathematical Physics

Year:

2017

Language:

english

File:

PDF, 909 KB

english, 2017

18

Edge rigidity and universality of random regular graphs of intermediate degree

Bauerschmidt, Roland, Huang, Jiaoyang, Knowles, Antti, Yau, Horng-Tzer

Journal:

Geometric And Functional Analysis

Year:

2020

File:

PDF, 1.02 MB

2020

19

Diffusive limit of a tagged particle in asymmetric simple exclusion processes

Sunder Sethuraman, S. R. S. Varadhan, Horng-Tzer Yau

Journal:

Communications on Pure and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 381 KB

english, 2000

20

Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate

László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Communications on Pure and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 552 KB

english, 2006

21

Bulk universality for Wigner matrices

László Erdős, Sandrine Péché, José A. Ramírez, Benjamin Schlein, Horng-Tzer Yau

Journal:

Communications on Pure and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 268 KB

english, 2010

22

Asymptotic dynamics of nonlinear Schrödinger equations: Resonance-dominated and dispersion-dominated solutions

Tai-Peng Tsai, Horng-Tzer Yau

Journal:

Communications on Pure and Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 530 KB

english, 2002

23

Large deviations of interacting particle systems in infinite volume

Claudio Landim, Horng-Tzer Yau

Journal:

Communications on Pure and Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 1.40 MB

english, 1995

24

Nonlinear Hartree equation as the mean field limit of weakly coupled fermions

Alexander Elgart, László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2004

Language:

english

File:

PDF, 266 KB

english, 2004

25

Derivation of the Schrödinger–Poisson equation from the quantum N-body problem

Claude Bardos, Laszlo Erdös, François Golse, Norbert Mauser, Horng-Tzer Yau

Journal:

Comptes Rendus Mathematique

Year:

2002

File:

PDF, 81 KB

2002

26

Relative entropy and hydrodynamics of Ginzburg-Landau models

Journal:

Letters in Mathematical Physics

Year:

1991

Language:

english

File:

PDF, 680 KB

english, 1991

27

Stability of coulomb systems with magnetic fields

Michael Loss, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

1986

Language:

english

File:

PDF, 417 KB

english, 1986

28

The Coulomb Gas at low temperature and low density

Joseph G. Conlon, Elliott H. Lieb, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

1989

Language:

english

File:

PDF, 1.64 MB

english, 1989

29

TheN7/5law for charged bosons

Joseph G. Conlon, Elliott H. Lieb, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

1988

Language:

english

File:

PDF, 1.90 MB

english, 1988

30

Grad ø perturbations of massless Gaussian fields

David Brydges, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

1990

Language:

english

File:

PDF, 1.93 MB

english, 1990

31

Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics

Sheng Lin Lu, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 1.37 MB

english, 1993

32

Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium

Chih-Chung Chang, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

1992

Language:

english

File:

PDF, 1.06 MB

english, 1992

33

Logarithmic Sobolev inequality for lattice gases with mixing conditions

Journal:

Communications in Mathematical Physics

Year:

1996

Language:

english

File:

PDF, 1.77 MB

english, 1996

34

Bulk diffusivity of lattice gases close to criticality

Herbert Spohn, Horng-Tzer Yau

Journal:

Journal of Statistical Physics

Year:

1995

Language:

english

File:

PDF, 408 KB

english, 1995

35

Metastability of Ginzburg-Landau model with a conservation law

Journal:

Journal of Statistical Physics

Year:

1994

Language:

english

File:

PDF, 1.18 MB

english, 1994

36

Quantum Diffusion for the Anderson Model in the Scaling Limit

László Erdős, Manfred Salmhofer, Horng-Tzer Yau

Journal:

Annales Henri Poincaré

Year:

2007

Language:

english

File:

PDF, 1.24 MB

english, 2007

37

Gross-Pitaevskii Equation as the Mean Field Limit of Weakly Coupled Bosons

Alexander Elgart, László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Archive for Rational Mechanics and Analysis

Year:

2006

Language:

english

File:

PDF, 219 KB

english, 2006

38

Derivation of the Euler Equations from Quantum Dynamics

Bruno Nachtergaele, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

2003

Language:

english

File:

PDF, 429 KB

english, 2003

39

Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams

László Erdős, Manfred Salmhofer, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 573 KB

english, 2007

40

Local Semicircle Law and Complete Delocalization for Wigner Random Matrices

László Erdős, Benjamin Schlein, Horng-Tzer Yau

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 229 KB

english, 2009

41

Logarithmic Sobolev inequality for generalized simple exclusion processes

Journal:

Probability Theory and Related Fields

Year:

1997

Language:

english

File:

PDF, 419 KB

english, 1997

42

On the Quantum Boltzmann Equation

László Erdős, Manfred Salmhofer, Horng-Tzer Yau

Journal:

Journal of Statistical Physics

Year:

2004

Language:

english

File:

PDF, 134 KB

english, 2004

43

Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues

László Erdős, Antti Knowles, Horng-Tzer Yau, Jun Yin

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 601 KB

english, 2012

44

Editorial

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 88 KB

english, 2013

45

Bulk universality for generalized Wigner matrices

Erdős, László, Yau, Horng-Tzer, Yin, Jun

Journal:

Probability Theory and Related Fields

Year:

2012

Language:

english

File:

PDF, 651 KB

english, 2012

46

Local circular law for random matrices

Bourgade, Paul, Yau, Horng-Tzer, Yin, Jun

Journal:

Probability Theory and Related Fields

Year:

2014

Language:

english

File:

PDF, 540 KB

english, 2014

47

The local circular law II: the edge case

Bourgade, Paul, Yau, Horng-Tzer, Yin, Jun

Journal:

Probability Theory and Related Fields

Year:

2014

Language:

english

File:

PDF, 476 KB

english, 2014

48

Delocalization and Diffusion Profile for Random Band Matrices

László Erdős, Antti Knowles, Horng-Tzer Yau…

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 614 KB

english, 2013

49

Averaging Fluctuations in Resolvents of Random Band Matrices

László Erdős, Antti Knowles, Horng-Tzer Yau

Journal:

Annales Henri Poincaré

Year:

2013

Language:

english

File:

PDF, 1.78 MB

english, 2013

50

Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday

Nachtergaele, Bruno, Solovej, Jan Philip, Yau, Horng-Tzer

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 337 KB

english, 2012

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