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- Horng-Tzer Yau

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
71
Citations
13,662
195
World Ranking
184
National Ranking
102

2013 - Fellow of the American Mathematical Society

2013 - Member of the National Academy of Sciences

2001 - Fellow of the American Academy of Arts and Sciences

- Quantum mechanics
- Eigenvalues and eigenvectors
- Electron

His studies link Scale (ratio) with Quantum mechanics. He brings together Mathematical physics and Applied mathematics to produce work in his papers. He undertakes interdisciplinary study in the fields of Applied mathematics and Mathematical analysis through his research. Many of his studies on Mathematical analysis involve topics that are commonly interrelated, such as Probability measure. In his work, Horng-Tzer Yau performs multidisciplinary research in Combinatorics and Geometry. Horng-Tzer Yau conducted interdisciplinary study in his works that combined Geometry and Combinatorics. As part of his studies on Pure mathematics, he often connects relevant subjects like Conjecture. Horng-Tzer Yau regularly ties together related areas like Pure mathematics in his Conjecture studies. In his work, he performs multidisciplinary research in Eigenvalues and eigenvectors and Hermitian matrix.

- The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics (340 citations)
- Rigidity of eigenvalues of generalized Wigner matrices (297 citations)
- Relative entropy and hydrodynamics of Ginzburg-Landau models (257 citations)

In most of his Mathematical analysis studies, his work intersects topics such as Limit (mathematics), Logarithm and Schrödinger equation. His research ties Nonlinear system and Quantum mechanics together. His Quantum mechanics research extends to the thematically linked field of Nonlinear system. He integrates several fields in his works, including Mathematical physics and Geometry. He combines Geometry and Mathematical analysis in his studies. He combines Eigenvalues and eigenvectors and Random matrix in his studies. Horng-Tzer Yau integrates Random matrix and Eigenvalues and eigenvectors in his research. His research on Combinatorics often connects related areas such as Graph. In most of his Graph studies, his work intersects topics such as Combinatorics.

- Quantum mechanics (86.07%)
- Mathematical analysis (63.11%)
- Mathematical physics (58.20%)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Derivation of the Cubic Non-linear Schr"odinger Equation from Quantum Dynamics of Many-Body Systems

Laszlo Erdos;Benjamin Schlein;Horng-Tzer Yau.

arXiv: Mathematical Physics **(2005)**

426 Citations

The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics

Elliott H. Lieb;Horng-Tzer Yau.

Communications in Mathematical Physics **(1987)**

364 Citations

Relative entropy and hydrodynamics of Ginzburg-Landau models

Horng-Tzer Yau.

Letters in Mathematical Physics **(1991)**

360 Citations

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

László Erdős;Benjamin Schlein;Horng-Tzer Yau.

Inventiones Mathematicae **(2007)**

336 Citations

Rigidity of eigenvalues of generalized Wigner matrices

László Erdos;Horng-Tzer Yau;Jun Yin.

Advances in Mathematics **(2012)**

323 Citations

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

Laszlo Erdos;Benjamin Schlein;Horng-Tzer Yau.

Annals of Mathematics **(2010)**

321 Citations

Derivation of the nonlinear Schrödinger equation from a many body Coulomb system

László Erdős;Horng-Tzer Yau.

Advances in Theoretical and Mathematical Physics **(2001)**

303 Citations

The stability and instability of relativistic matter

Elliott H. Lieb;Horng Tzer Yau.

Communications in Mathematical Physics **(1988)**

280 Citations

Spectral statistics of Erdős–Rényi graphs I: Local semicircle law

László Erdős;Antti Knowles;Horng-Tzer Yau;Jun Yin.

Annals of Probability **(2013)**

276 Citations

Bulk universality for generalized Wigner matrices

László Erdős;Horng-Tzer Yau;Jun Yin.

Probability Theory and Related Fields **(2012)**

271 Citations

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