3 papers
math.AP2026
Phase-Field Models, Sharp Interface Limits, and Numerical Schemes for Contact Line Dynamics
Guosheng Fu, Yuan Gao, Jian-Guo Liu
We study phase-field and sharp-interface models for contact line dynamics of a liquid droplet on a solid substrate within a unified variational framework. The motion of the contact…
math.CA2025
On generating functions of Hausdorff moment sequences
Jian-Guo Liu, Robert L. Pego
The class of generating functions for completely monotone sequences (moments of finite positive measures on ) has an elegant characterization as the class of Pick functions…
math.PR2024
Geometric ergodicity of SGLD via reflection coupling
Lei Li, Jian-Guo Liu, Yuliang Wang
We consider the geometric ergodicity of the Stochastic Gradient Langevin Dynamics (SGLD) algorithm under nonconvexity settings. Via the technique of reflection coupling, we prove t…