Stochastic heat flow is a black noise

Published 19 Jun 2025 in math.PR | (2506.16484v1)

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.

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