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math.PR2017
Moderate Deviation for Random Elliptic PDEs with Small Noise
Xiaoou Li, Jingchen Liu, Jianfeng Lu +1
Partial differential equations with random inputs have become popular models to characterize physical systems with uncertainty coming from, e.g., imprecise measurement and intrinsi…
math.PR2013
Reactive trajectories and the transition path process
Jianfeng Lu, James Nolen
We study the trajectories of a solution to an Itô stochastic differential equation in $\Rm^d$, as the process passes between two disjoint open sets, and . These segmen…