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math.PR2023★ 1 cited
Parabolic Anderson model with colored noise on torus
Le Chen, Cheng Ouyang, William Vickery
We construct an intrinsic family of Gaussian noises on -dimensional flat torus . It is the analogue of the colored noise on , and allows us to study…
math.PR2023
Asymptotic properties of stochastic partial differential equations in the sublinear regime
Le Chen, Panqiu Xia
In this paper, we investigate stochastic heat equation with sublinear diffusion coefficients. By assuming certain concavity of the diffusion coefficient, we establish non-trivial m…