2 papers
math.AP2024
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…
math.PR2024
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…