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math.PR2025
Propagation of Singularities for the Damped Stochastic Klein-Gordon Equation
Hongyi Chen, Cheuk Yin Lee
For the dimensional damped stochastic Klein-Gordon equation, we show that random singularities associated with the law of the iterated logarithm exist and propogate in the sa…
math.PR2025
Global Geometry within an SPDE Well-Posedness Problem
Hongyi Chen, Cheng Ouyang
On a closed Riemannian manifold, we construct a family of intrinsic Gaussian noises indexed by a regularity parameter to study the well-posedness of the parabolic Anderson…