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Noise sensitivity for stochastic heat and Schr\"odinger equation

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arxiv 2502.04587 v1 pith:A5IRKUCH submitted 2025-02-07 math.PR

Yu Gu , Tomasz Komorowski This is my paper · ORCID
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keywords equationheatodingerschrstochasticasymptoticallycenteringchaos
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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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Cited by 1 Pith paper

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  1. Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow

    math.PR 2025-07 conditional novelty 7.0 of 10

    A general, rate-optimal BKS noise-sensitivity criterion is proven, and it yields the independence of the critical 2D Stochastic Heat Flow from the disorder white noise.

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