3 citations · 22 across the 18 of their papers we have counts for
5 papers · 1 filter
An Elementary Proof of a Classical Information-Theoretic Formula
Xianming Liu, Ronit Bustin, Guangyue Han +1
A renowned information-theoretic formula by Shannon expresses the mutual information rate of a white Gaussian channel with a stationary Gaussian input as an integral of a simple fu…
Information-Theoretic Extensions of the Shannon-Nyquist Sampling Theorem
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 c…
A Wong-Zakai Approximation for Random Slow Manifolds with Application to Parameter Estimation
Ziying He, Xinyong Zhang, Tao Jiang +1
We study a Wong-Zakai approximation for the random slow manifold of a slow-fast stochastic dynamical system. We first deduce the existence of the random slow manifold about an appr…
A role of random slow manifolds in detecting stochastic bifurcation
Ziying He, Rui Cai, Jinqiao Duan +1
We consider the relation for the stochastic equilibrium states between the reduced system on a random slow manifold and the original system. This provides a theoretical basis for t…
Weak order in averaging principle for two-time-scale stochastic partial differential equations
Hongbo Fu, Li Wan, Jicheng Liu +1
This work is devoted to averaging principle of a two-time-scale stochastic partial differential equation on a bounded interval , where both the fast and slow components are…