Horng‐Tzer Yau

9.2k total citations
88 papers, 4.2k citations indexed

About

Horng‐Tzer Yau is a scholar working on Mathematical Physics, Statistics and Probability and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Horng‐Tzer Yau has authored 88 papers receiving a total of 4.2k indexed citations (citations by other indexed papers that have themselves been cited), including 60 papers in Mathematical Physics, 51 papers in Statistics and Probability and 20 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Horng‐Tzer Yau's work include Random Matrices and Applications (44 papers), Advanced Algebra and Geometry (21 papers) and Stochastic processes and statistical mechanics (20 papers). Horng‐Tzer Yau is often cited by papers focused on Random Matrices and Applications (44 papers), Advanced Algebra and Geometry (21 papers) and Stochastic processes and statistical mechanics (20 papers). Horng‐Tzer Yau collaborates with scholars based in United States, Germany and United Kingdom. Horng‐Tzer Yau's co-authors include László Erdős, Benjamin Schlein, Jun Yin, Élliott H. Lieb, Tai‐Peng Tsai, Antti Knowles, Paul Bourgade, Manfred Salmhofer, Jiaoyang Huang and Michael Loss and has published in prestigious journals such as Physical Review Letters, The Astrophysical Journal and Physical Review A.

In The Last Decade

Horng‐Tzer Yau

85 papers receiving 3.9k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Horng‐Tzer Yau United States 40 2.7k 1.9k 1.1k 940 678 88 4.2k
László Erdős United States 31 2.0k 0.7× 1.7k 0.9× 957 0.9× 636 0.7× 713 1.1× 121 3.2k
Peter J. Forrester Australia 32 2.2k 0.8× 2.8k 1.4× 1.1k 1.0× 1.3k 1.4× 1.4k 2.0× 222 5.3k
Harold Widom United States 34 2.3k 0.8× 2.1k 1.1× 448 0.4× 519 0.6× 743 1.1× 124 4.6k
J. Ginibre France 33 3.5k 1.3× 778 0.4× 740 0.7× 1.7k 1.8× 196 0.3× 82 4.9k
Percy Deift United States 43 4.1k 1.5× 2.4k 1.2× 1.0k 0.9× 3.3k 3.5× 1.1k 1.6× 110 7.9k
Jinho Baik United States 22 1.4k 0.5× 2.1k 1.1× 148 0.1× 240 0.3× 786 1.2× 44 2.8k
A. R. Its United States 26 836 0.3× 441 0.2× 848 0.8× 1.9k 2.0× 167 0.2× 63 3.0k
Pavel Bleher United States 25 928 0.3× 583 0.3× 197 0.2× 538 0.6× 210 0.3× 70 1.9k
Yan V. Fyodorov United Kingdom 36 873 0.3× 894 0.5× 2.1k 1.9× 2.3k 2.4× 192 0.3× 118 4.0k

Countries citing papers authored by Horng‐Tzer Yau

Since Specialization
Citations

This map shows the geographic impact of Horng‐Tzer Yau's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Horng‐Tzer Yau with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Horng‐Tzer Yau more than expected).

Fields of papers citing papers by Horng‐Tzer Yau

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Horng‐Tzer Yau. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Horng‐Tzer Yau. The network helps show where Horng‐Tzer Yau may publish in the future.

Co-authorship network of co-authors of Horng‐Tzer Yau

This figure shows the co-authorship network connecting the top 25 collaborators of Horng‐Tzer Yau. A scholar is included among the top collaborators of Horng‐Tzer Yau based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Horng‐Tzer Yau. Horng‐Tzer Yau is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Lu, Yue & Horng‐Tzer Yau. (2025). An equivalence principle for the spectrum of random inner-product kernel matrices with polynomial scalings. The Annals of Applied Probability. 35(4).
2.
Yang, Fan, et al.. (2024). Bulk universality and quantum unique ergodicity for random band matrices in high dimensions. The Annals of Probability. 52(3). 2 indexed citations
3.
Bourgade, Paul, et al.. (2020). Random Band Matrices in the Delocalized Phase I: Quantum Unique Ergodicity and Universality. Communications on Pure and Applied Mathematics. 73(7). 1526–1596. 26 indexed citations
4.
Bauerschmidt, Roland, et al.. (2019). The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem. Apollo (University of Cambridge). 18 indexed citations
5.
Bourgade, Paul, Horng‐Tzer Yau, & Jun Yin. (2013). Local circular law for random matrices. Probability Theory and Related Fields. 159(3-4). 545–595. 45 indexed citations
6.
Erdős, László, Benjamin Schlein, & Horng‐Tzer Yau. (2010). Universality of random matrices and local relaxation flow. Inventiones mathematicae. 185(1). 75–119. 101 indexed citations
7.
Erdős, László, José A. Ramı́rez, Benjamin Schlein, & Horng‐Tzer Yau. (2010). Universality of Sine-Kernel for Wigner Matrices with a Small Gaussian Perturbation. Electronic Journal of Probability. 15(none). 38 indexed citations
8.
Erdős, László, Benjamin Schlein, & Horng‐Tzer Yau. (2007). Semicircle law on short scales and delocalization of eigenvectors for Wigner random\n matrices. eScholarship (California Digital Library). 102 indexed citations
9.
Erdős, László, Manfred Salmhofer, & Horng‐Tzer Yau. (2007). Quantum Diffusion of the Random Schrödinger Evolution in the Scaling Limit II. The Recollision Diagrams. Communications in Mathematical Physics. 271(1). 1–53. 26 indexed citations
10.
Erdős, László, Benjamin Schlein, & Horng‐Tzer Yau. (2007). Rigorous Derivation of the Gross-Pitaevskii Equation. Physical Review Letters. 98(4). 40404–40404. 80 indexed citations
11.
Erdős, László, Benjamin Schlein, & Horng‐Tzer Yau. (2005). Derivation of the Gross-Pitaevskii Equation from Quantum Dynamics of Many-Body Systems. arXiv (Cornell University). 1 indexed citations
12.
Yau, Horng‐Tzer. (2004). (logt)2∕3law of the two dimensional asymmetric simple exclusion process. Annals of Mathematics. 159(1). 377–405. 26 indexed citations
13.
Elgart, Alexander, László Erdős, Benjamin Schlein, & Horng‐Tzer Yau. (2004). Nonlinear Hartree equation as the mean field limit of weakly coupled fermions. Journal de Mathématiques Pures et Appliquées. 83(10). 1241–1273. 37 indexed citations
14.
Quastel, Jeremy & Horng‐Tzer Yau. (2003). Poincare inequalities for inhomogeneous Bernoulli measures. arXiv (Cornell University). 1 indexed citations
15.
Bardos, Claude, László Erdős, François Golse, Norbert J. Mauser, & Horng‐Tzer Yau. (2002). Derivation of the Schrödinger–Poisson equation from the quantum 𝐍 -body problem. Comptes Rendus Mathématique. 334(6). 515–520. 60 indexed citations
16.
Fröhlich, Jürg, Tai‐Peng Tsai, & Horng‐Tzer Yau. (2002). On the Point-Particle (Newtonian) Limit¶of the Non-Linear Hartree Equation. Communications in Mathematical Physics. 225(2). 223–274. 69 indexed citations
17.
Erdős, László & Horng‐Tzer Yau. (2001). Derivation of the nonlinear Schr\"odinger equation with Coulomb potential. arXiv (Cornell University). 7 indexed citations
18.
Yau, Horng‐Tzer, et al.. (1998). Logarithmic Sobolev inequality for some models of random walks. The Annals of Probability. 26(4). 47 indexed citations
19.
Lieb, Élliott H. & Horng‐Tzer Yau. (1988). Many-Body Stability Implies a Bound on the Fine-Structure Constant. Physical Review Letters. 61(15). 1695–1697. 11 indexed citations
20.
Lieb, Élliott H. & Horng‐Tzer Yau. (1987). A rigorous examination of the Chandrasekhar theory of stellar collapse. The Astrophysical Journal. 323. 140–140. 15 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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