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math.PR2018
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…
math.PR2018
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…
math.PR2018
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}…