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math.PR2019
Fractional moments of the Stochastic Heat Equation
Sayan Das, Li-Cheng Tsai
Consider the solution of the one-dimensional stochastic heat equation, with a multiplicative spacetime white noise, and with the delta initial data $\mathcal{Z}(…
math.PR2019★ 29 cited
Moments of the 2D SHE at criticality
Yu Gu, Jeremy Quastel, Li-Cheng Tsai
We study the stochastic heat equation in two spatial dimensions with a multiplicative white noise, as the limit of the equation driven by a noise that is mollified in space and whi…