Stochastic heat flow is a black noise
Probability
2025-07-16 v2
Abstract
We prove that the stochastic heat flow Caravenna Sun Zygouras (2023), Tsai (2024) is a black noise in the sense of Tsirelson (2004). As a corollary, the 2d stochastic heat equation driven by a mollified spacetime white noise becomes asymptotically independent of that noise in the scaling limit.
Cite
@article{arxiv.2506.16484,
title = {Stochastic heat flow is a black noise},
author = {Yu Gu and Li-Cheng Tsai},
journal= {arXiv preprint arXiv:2506.16484},
year = {2025}
}
Comments
13 pages