Pith. sign in

REVIEW 2 cited by

Stochastic heat flow is a black noise

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2506.16484 v2 pith:4ZQ3BM66 submitted 2025-06-19 math.PR

Yu Gu , Li-Cheng Tsai This is my paper · ORCID
classification math.PR
keywords noiseheatstochasticblackflowasymptoticallybecomescaravenna
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Temperature chaos in directed polymers

    math.PR 2026-07 conditional novelty 8.0 of 10

    For beta1 = o(beta2) both tending to infinity, coupled CDRP free energies at beta1 and beta2 converge to two independent directed landscapes; as a byproduct, the directed landscape is a two-dimensional black noise.

  2. Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow

    math.PR 2025-07 conditional novelty 7.0 of 10

    A general, rate-optimal BKS noise-sensitivity criterion is proven, and it yields the independence of the critical 2D Stochastic Heat Flow from the disorder white noise.

Pith tools