52 citations · 63 across the 5 of their papers we have counts for
5 papers
Some properties on the reversibility and the linear response theory of Langevin dynamics
Yuan Gao, Jian-Guo Liu, Zibu Liu
Linear response theory is a fundamental framework studying the macroscopic response of a physical system to an external perturbation. This paper focuses on the rigorous mathematica…
Fluctuations in Wasserstein dynamics on Graphs
Yuan Gao, Wuchen Li, Jian-Guo Liu
In this paper, we propose a drift-diffusion process on the probability simplex to study stochastic fluctuations in probability spaces. We construct a counting process for linear de…
Optimal control formulation of transition path problems for Markov Jump Processes
Yuan Gao, Jian-Guo Liu, Oliver Tse
We formulate the transition path problem for Markov jump processes as a stochastic optimal control problem on path space. Transitions between metastable sets are induced by an unbo…
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…
Optimization of robustness of scale-free network to random and targeted attacks
Jian-Guo Liu, Zhong-Tuo Wang, Yan-Zhong Dang
The scale-fee networks, having connectivity distribution (where is the site connectivity), is very resilient to random failures but fragile to intentional att…