66 citations · 188 across the 17 of their papers we have counts for
17 papers
Reflection Maps Associated with Involutions and Factorization Problems, and Their Poisson Geometry
Luen-Chau Li, Vincent Caudrelier
The study of the set-theoretic solutions of the reflection equation, also known as reflection maps, is closely related to that of the Yang-Baxter maps. In this work, we construct r…
Second-order Symmetric Non-negative Latent Factor Analysis
Weiling Li, Xin Luo
Precise representation of large-scale undirected network is the basis for understanding relations within a massive entity set. The undirected network representation task can be eff…
On the open Toda chain with external forcing
Percy Deift, Luen-Chau Li, Herbert Spohn +2
We consider the open Toda chain with external forcing, and in the case when the forcing stretches the system, we derive the longtime behavior of solutions of the chain. Using an ob…
The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices
Luen-Chau Li, Irina Nenciu
In this work, we show that the periodic defocusing Ablowitz-Ladik equation can be expressed as an isospectral deformation of Floquet CMV matrices. We then introduce a Poisson Lie g…
The beta-Hermite and beta-Laguerre processes
Luen-Chau Li
In this work, we introduce matrix-valued diffusion processes which describe the non-equilibrium situation of the matrix models for the beta-Hermite and the beta-Laguerre ensembles.…
Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras
Luen-Chau Li, Zhaohu Nie
In previous work, we introduced a class of integrable spin Calogero-Moser systems associated with the classical dynamical r-matrices with spectral parameter, as classified by Eting…