6 citations · 13 across the 7 of their papers we have counts for
4 papers · 1 filter
Talagrand's transportation inequality for SPDEs with locally monotone drifts
Ruinan Li, Xinyu Wang
The purpose of this paper is twofold. Firstly, we prove transportation inequalities on the space of continuous paths with respect to the uniform metric for the law o…
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}…