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Noise sensitivity for stochastic heat and Schrödinger equation (2502.04587v1)
Published 7 Feb 2025 in math.PR
Abstract: In this note, we consider the stochastic heat and Schr\"odinger equation, and show that, at time $t$, the onset of the chaos occurs on the scale of $1/t$, and the Fourier spectrum of the solution is asymptotically Gaussian after centering and rescaling.
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