Luen-Chau Li

441 total citations
26 papers, 261 citations indexed

About

Luen-Chau Li is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Luen-Chau Li has authored 26 papers receiving a total of 261 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Statistical and Nonlinear Physics, 17 papers in Geometry and Topology and 12 papers in Algebra and Number Theory. Recurrent topics in Luen-Chau Li's work include Nonlinear Waves and Solitons (19 papers), Advanced Topics in Algebra (12 papers) and Algebraic structures and combinatorial models (11 papers). Luen-Chau Li is often cited by papers focused on Nonlinear Waves and Solitons (19 papers), Advanced Topics in Algebra (12 papers) and Algebraic structures and combinatorial models (11 papers). Luen-Chau Li collaborates with scholars based in United States and United Kingdom. Luen-Chau Li's co-authors include Percy Deift, Ping Xu, Carlos Tomei, James Demmel, Irina Nenciu, Vincent Caudrelier and J. Demmel and has published in prestigious journals such as Communications in Mathematical Physics, SIAM Journal on Numerical Analysis and Physica D Nonlinear Phenomena.

In The Last Decade

Luen-Chau Li

24 papers receiving 238 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Luen-Chau Li United States 10 186 163 82 82 37 26 261
M. Gekhtman United States 12 196 1.1× 182 1.1× 117 1.4× 91 1.1× 43 1.2× 23 329
A. Levin Russia 15 247 1.3× 300 1.8× 125 1.5× 153 1.9× 17 0.5× 41 447
А. В. Жибер Russia 9 278 1.5× 128 0.8× 58 0.7× 38 0.5× 23 0.6× 23 326
Dimitri Gurevich France 10 104 0.6× 202 1.2× 137 1.7× 174 2.1× 15 0.4× 43 274
Takeo Yokonuma Japan 5 100 0.5× 164 1.0× 63 0.8× 125 1.5× 15 0.4× 10 212
V. V. Zharinov Russia 9 88 0.5× 59 0.4× 118 1.4× 40 0.5× 18 0.5× 52 258
Jacques-Arthur Weil France 8 101 0.5× 111 0.7× 27 0.3× 29 0.4× 96 2.6× 17 202
Benjamin Enriquez France 13 203 1.1× 351 2.2× 178 2.2× 228 2.8× 13 0.4× 55 426
Pavao Mardešić France 12 329 1.8× 486 3.0× 83 1.0× 37 0.5× 54 1.5× 36 537
Jun Uchiyama Japan 9 67 0.4× 77 0.5× 155 1.9× 55 0.7× 63 1.7× 29 246

Countries citing papers authored by Luen-Chau Li

Since Specialization
Citations

This map shows the geographic impact of Luen-Chau Li'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 Luen-Chau Li with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Luen-Chau Li more than expected).

Fields of papers citing papers by Luen-Chau Li

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Luen-Chau Li. 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 Luen-Chau Li. The network helps show where Luen-Chau Li may publish in the future.

Co-authorship network of co-authors of Luen-Chau Li

This figure shows the co-authorship network connecting the top 25 collaborators of Luen-Chau Li. A scholar is included among the top collaborators of Luen-Chau Li 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 Luen-Chau Li. Luen-Chau Li 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.
Li, Luen-Chau & Vincent Caudrelier. (2025). Reflection Maps Associated with Involutions and Factorization Problems, and Their Poisson Geometry. Annales Henri Poincaré. 1 indexed citations
2.
Li, Luen-Chau. (2023). The Toda flow on Hessenberg elements of real, split simple Lie algebras. Physica D Nonlinear Phenomena. 453. 133810–133810.
3.
Li, Luen-Chau. (2022). Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps. Mathematical Physics Analysis and Geometry. 25(1). 3 indexed citations
4.
Li, Luen-Chau. (2018). An Exact Discretization of a Lax Equation for Shock Clustering and Burgers Turbulence I: Dynamical Aspects and Exact Solvability. Communications in Mathematical Physics. 361(2). 415–466. 4 indexed citations
5.
Li, Luen-Chau, et al.. (2016). On the Liouville Integrability of the Periodic Kostant–Toda Flow on Matrix Loops of Level k. Communications in Mathematical Physics. 352(3). 1153–1203. 1 indexed citations
6.
Li, Luen-Chau, et al.. (2015). Integrability of the periodic Kostant–Toda flow on matrix loops of level k. Comptes Rendus Mathématique. 353(4). 363–367. 1 indexed citations
7.
Li, Luen-Chau & Irina Nenciu. (2012). The periodic defocusing Ablowitz–Ladik equation and the geometry of Floquet CMV matrices. Advances in Mathematics. 231(6). 3330–3388. 10 indexed citations
8.
Li, Luen-Chau. (2005). . International Mathematics Research Notices. 2005(40). 2437–2437. 10 indexed citations
9.
Li, Luen-Chau, et al.. (2005). On dynamical Poisson groupoids. I. Memoirs of the American Mathematical Society. 174(824). 0–0. 1 indexed citations
10.
Li, Luen-Chau. (2003). . International Mathematics Research Notices. 2003(51). 2725–2725. 6 indexed citations
11.
Li, Luen-Chau & Ping Xu. (2002). A Class of Integrable Spin Calogero-Moser Systems. Communications in Mathematical Physics. 231(2). 257–286. 25 indexed citations
12.
Li, Luen-Chau. (1999). Classical r-Matrices and Compatible Poisson Structures for Lax Equations on Poisson Algebras. Communications in Mathematical Physics. 203(3). 573–592. 36 indexed citations
13.
Li, Luen-Chau. (1997). The SVD Flows on Generic Symplectic Leaves are Completely Integrable. Advances in Mathematics. 128(1). 82–118. 2 indexed citations
14.
Li, Luen-Chau. (1997). On the Complete Integrability of some Lax Equations on a Periodic Lattice. Transactions of the American Mathematical Society. 349(1). 331–372. 4 indexed citations
15.
Deift, Percy, Luen-Chau Li, & Carlos Tomei. (1992). Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions. Memoirs of the American Mathematical Society. 100(479). 0–0. 15 indexed citations
16.
Li, Luen-Chau. (1992). Two results on a class of Poisson structures on Lie groups. Mathematische Zeitschrift. 210(1). 327–337. 2 indexed citations
17.
Deift, Percy & Luen-Chau Li. (1991). Poisson geometry of the analog of the Miura maps and Bäcklund-Darboux transformations for equations of Toda type and periodic Toda flows. Communications in Mathematical Physics. 143(1). 201–214. 15 indexed citations
18.
Li, Luen-Chau. (1990). On the complete integrability of some Lax systems on 𝐺𝐿(𝑛,𝑅)×𝐺𝐿(𝑛,𝑅). Bulletin of the American Mathematical Society. 23(2). 487–493. 2 indexed citations
19.
Deift, Percy, J. Demmel, Luen-Chau Li, & Carlos Tomei. (1989). The bidiagonal singular value decomposition and Hamiltonian mechanics: LAPACK working note No. 11. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information).
20.
Li, Luen-Chau. (1987). Long time behaviour of an infinite particle system. Communications in Mathematical Physics. 110(4). 617–623. 2 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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