Edwards-Wilkinson fluctuations in subcritical 2D stochastic heat equations

Alexander Dunlap; Cole Graham

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arXiv · 2405.09520

Edwards-Wilkinson fluctuations in subcritical 2D stochastic heat equations

Alexander Dunlap·Cole Graham

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Abstract

We study 2D nonlinear stochastic heat equations under a logarithmically attenuated white-noise limit with subcritical coupling. We show that solutions asymptotically exhibit Edwards-Wilkinson fluctuations. This extends work of Ran Tao, which required a stricter condition on the coupling. Part of the limiting fluctuation is measurable with respect to the original noise and the remainder is independent. We also show that these statistics are universal in the sense that they are independent of the fine details of the model.

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Alexander Dunlap, Cole Graham. 2024-05-15. Edwards-Wilkinson fluctuations in subcritical 2D stochastic heat equations. https://arxiv.org/abs/2405.09520

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