Noise sensitivity for stochastic heat and Schrödinger equation

2025/02/07 by Yu Gu, Gu, Yu, Tomasz Komorowski +1 · 2 citations
Mathematics · Physics and Astronomy · #Numerical methods in inverse problems #Advanced Thermodynamics and Statistical Mechanics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2502.04587

Abstract

In this note, we consider the stochastic heat and Schrödinger 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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