6 citations · 6 across the 1 of their papers we have counts for
4 papers
Central limit theorem and moderate deviations for a class of semilinear SPDES
Shulan Hu, Ruinan Li, Xinyu Wang
In this paper we prove a central limit theorem and a moderate deviation principle for a class of semilinear stochastic partial differential equations, which contain Burgers' equati…
Transportation inequalities for stochastic wave equation
Yumeng Li, Xinyu Wang
In this paper, we prove a Talagrand's T2 transportation cost-information inequality for the law of a stochastic wave equation in spatial dimension d=3 driven by the Gaussian random…
Central limit theorem and moderate deviations for a stochastic Cahn-Hilliard equation
Ruinan Li, Xinyu Wang
In this paper, we prove a central limit theorem and a moderate deviation principle for a perturbed stochastic Cahn-Hilliard equation defined on [0, T]x [0, π]^d, with d \in {1,2,3}…
Transportation inequalities: From Poisson to Gibbs measures
Yutao Ma, Shi Shen, Xinyu Wang +1
We establish an optimal transportation inequality for the Poisson measure on the configuration space. Furthermore, under the Dobrushin uniqueness condition, we obtain a sharp trans…