7 citations · 12 across the 10 of their papers we have counts for
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Lagrangian correspondences and the generalized Viterbo restriction functor
Yuan Gao
We study two kinds of functors of wrapped Fukaya categories: 1) the Viterbo restriction functor for an inclusion of a Liouville sub-domain; 2) the Lagrangian correspondence functor…
Transition path theory for Langevin dynamics on manifold: optimal control and data-driven solver
Yuan Gao, Tiejun Li, Xiaoguang Li +1
We present a data-driven point of view for rare events, which represent conformational transitions in biochemical reactions modeled by over-damped Langevin dynamics on manifolds in…
Existence and rigidity of the Peierls-Nabarro model for dislocations in high dimensions
Yuan Gao, Jian-Guo Liu, Zibu Liu
We focus on existence and rigidity problems of the vectorial Peierls-Nabarro (PN) model for dislocations. Under the assumption that the misfit potential on the slip plane only depe…
Inbetweening auto-animation via Fokker-Planck dynamics and thresholding
Yuan Gao, Guangzhen Jin, Jian-Guo Liu
We propose an equilibrium-driven deformation algorithm (EDDA) to simulate the inbetweening transformations starting from an initial image to an equilibrium image, which covers imag…
Data-driven Efficient Solvers for Langevin Dynamics on Manifold in High Dimensions
Yuan Gao, Jian-Guo Liu, Nan Wu
We study the Langevin dynamics of a physical system with manifold structure based on collected sample points $\{\mathsf{x}_i\}_{i=1}^n \subset \mat…
Projection method for droplet dynamics on groove-textured surface with merging and splitting
Yuan Gao, Jian-Guo Liu
The geometric motion of small droplets placed on an impermeable textured substrate is mainly driven by the capillary effect, the competition among surface tensions of three phases…