Noise sensitivity for stochastic heat and Schr\"odinger equation
Probability
2025-02-10 v1
Abstract
In this note, we consider the stochastic heat and Schr\"odinger equation, and show that, at time , the onset of the chaos occurs on the scale of , and the Fourier spectrum of the solution is asymptotically Gaussian after centering and rescaling.
Cite
@article{arxiv.2502.04587,
title = {Noise sensitivity for stochastic heat and Schr\"odinger equation},
author = {Yu Gu and Tomasz Komorowski},
journal= {arXiv preprint arXiv:2502.04587},
year = {2025}
}
Comments
7 pages