3 citations · 22 across the 18 of their papers we have counts for
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cs.IT2017★ 1 cited
On Continuous-Time Gaussian Channels
Xianming Liu, Guangyue Han
A continuous-time white Gaussian channel can be formulated using a white Gaussian noise, and a conventional way for examining such a channel is the sampling approach based on the S…
math.DS2017★ 2 cited
Slow manifolds for stochastic systems with non-Gaussian stable Lévy noise
Shenglan Yuan, Jianyu Hu, Xianming Liu +1
This work is concerned with the dynamics of a class of slow-fast stochastic dynamical systems with non-Gaussian stable Lévy noise with a scale parameter. Slow manifolds with expone…
math.PR2017★ 2 cited
Weak order in averaging principle for stochastic wave equations with a fast oscillation
Hongbo Fu, Li Wan, Jicheng Liu +1
This article deals with the weak errors for averaging principle for a stochastic wave equation in a bounded interval , perturbed by a oscillating term arising as the solutio…