Horng-Tzer Yau

Horng-Tzer Yau

Harvard University

H-index: 70

North America-United States

About Horng-Tzer Yau

Horng-Tzer Yau, With an exceptional h-index of 70 and a recent h-index of 45 (since 2020), a distinguished researcher at Harvard University, specializes in the field of Mathematical physics and Probability theory.

His recent articles reflect a diverse array of research interests and contributions to the field:

The two point function of the SK model without external field at high temperature

Bulk universality and quantum unique ergodicity for random band matrices in high dimensions

Gaussian statistics for left and right eigenvectors of complex non-Hermitian matrices

Spectral gap estimates for mixed p-spin models at high temperature

Spectrum of random d‐regular graphs up to the edge

Universality for the global spectrum of random inner-product kernel matrices in the polynomial regime

Operator Norm Bounds on the Correlation Matrix of the SK Model at High Temperature

Edge universality of random regular graphs of growing degrees

Horng-Tzer Yau Information

University

Position

___

Citations(all)

13691

Citations(since 2020)

5504

Cited By

10909

hIndex(all)

70

hIndex(since 2020)

45

i10Index(all)

115

i10Index(since 2020)

94

Email

University Profile Page

Harvard University

Google Scholar

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Horng-Tzer Yau Skills & Research Interests

Mathematical physics and Probability theory

Top articles of Horng-Tzer Yau

Title

Journal

Author(s)

Publication Date

The two point function of the SK model without external field at high temperature

Probability and Mathematical Physics

Christian Brennecke

Adrien Schertzer

Changji Xu

Horng-Tzer Yau

2024/1/30

Bulk universality and quantum unique ergodicity for random band matrices in high dimensions

To appear in Annals of Probability arXiv preprint arXiv:2207.14533

Changji Xu

Fan Yang

Horng-Tzer Yau

Jun Yin

2022/7/29

Gaussian statistics for left and right eigenvectors of complex non-Hermitian matrices

arXiv preprint arXiv:2403.19644

Sofiia Dubova

Kevin Yang

Horng-Tzer Yau

Jun Yin

2024/3/28

Spectral gap estimates for mixed p-spin models at high temperature

Probability Theory and Related Fields

Arka Adhikari

Christian Brennecke

Changji Xu

Horng-Tzer Yau

2024/3/17

Spectrum of random d‐regular graphs up to the edge

Communications on Pure and Applied Mathematics

Jiaoyang Huang

Horng‐Tzer Yau

2024/3

Universality for the global spectrum of random inner-product kernel matrices in the polynomial regime

arXiv preprint arXiv:2310.18280

Sofiia Dubova

Yue M Lu

Benjamin McKenna

Horng-Tzer Yau

2023/10/27

Operator Norm Bounds on the Correlation Matrix of the SK Model at High Temperature

arXiv preprint arXiv:2307.12535

Christian Brennecke

Changji Xu

Horng-Tzer Yau

2023/7/24

Edge universality of random regular graphs of growing degrees

arXiv preprint arXiv:2305.01428

Jiaoyang Huang

Horng-Tzer Yau

2023/5/2

Universality: Random Matrices, Random Geometry and SPDEs

Oberwolfach Reports

Martin Hairer

Grégory Miermont

Horng-Tzer Yau

2023/4/13

Delocalization and Quantum Diffusion of Random Band Matrices in High Dimensions II: T-expansion

Communications in Mathematical Physics

Fan Yang

Horng-Tzer Yau

Jun Yin

2022/12

High dimensional normality of noisy eigenvectors

Communications in Mathematical Physics

Jake Marcinek

Horng-Tzer Yau

2022/11

The replica symmetric formula for the SK model revisited

Journal of Mathematical Physics

Christian Brennecke

Horng-Tzer Yau

2022/7/1

Edge universality of sparse random matrices

arXiv preprint arXiv:2206.06580

Jiaoyang Huang

Horng-Tzer Yau

2022/6/14

An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings

Yue M Lu

Horng-Tzer Yau

2022

Global eigenvalue distribution of matrices defined by the skew-shift

Analysis & PDE

Arka Adhikari

Marius Lemm

Horng-Tzer Yau

2021/7/6

Dynamical approach to the TAP equations for the Sherrington–Kirkpatrick model

Journal of Statistical Physics

Arka Adhikari

Christian Brennecke

Per von Soosten

Horng-Tzer Yau

2021/6

Analysis & PDE

Anal. PDE

SYLVIA Serfaty

JOAQUIM Serra

2018

Edge rigidity and universality of random regular graphs of intermediate degree

Geometric and functional analysis

Roland Bauerschmidt

Jiaoyang Huang

Antti Knowles

Horng-Tzer Yau

2020/6

THE ANNALS

The Annals of Probability

PETER K FRIZ

PAVEL ZORIN-KRANICH

XIN CHEN

XUEMEI LI

BO WU

...

2023/3

Transition from Tracy–Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős–Rényi graphs

Annals of Probability

Jiaoyang Huang

Benjamin Landon

Horng-Tzer Yau

2020/3/1

See List of Professors in Horng-Tzer Yau University(Harvard University)