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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.AP2023
Uniqueness for a stochastic ideal dyadic MHD model
Mimi Dai, Qirui Peng, Cheng Ouyang
We study a stochastic dyadic model with both forward and backward energy cascade mechanisms for the inviscid and non-resistive magnetohydrodynamics. For a particular class of stoch…