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math.PR2023
Gaussian fluctuations for the wave equation under rough random perturbations
Raluca M. Balan, Jingyu Huang, Xiong Wang +2
In this article, we consider the stochastic wave equation in spatial dimension , with linear term multiplying the noise. This equation is driven by a Gaussian noise w…
math.PR2023
Stochastic wave equation with additive fractional noise: solvability and global Hölder continuity
Shuhui Liu, Yaozhong Hu, Xiong Wang
We determine the range of Hurst parameters that provide the necessary and sufficient conditions for the solvability, in , of the stochastic wave equation: $ \frac{\partial^…
math.PR2023
Moment asymptotics for super-Brownian motions
Yaozhong Hu, Xiong Wang, Panqiu Xia +1
In this paper, long time and high order moment asymptotics for super-Brownian motions (sBm's) are studied. By using a moment formula for sBm's (e.g. Theorem 3.1, Hu et al. Ann. App…