Fractional Moments of Small-Ball Masses for the Stochastic Heat Flow

Jhuan Huang

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arXiv · 2608.01141

Fractional Moments of Small-Ball Masses for the Stochastic Heat Flow

Jhuan Huang

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Abstract

We prove the logarithmic fractional-moment exponent for the mass of a shrinking ball under the critical two-dimensional stochastic heat flow. The proof builds on the geometric block decomposition of Gu and Tsai and introduces a fractional-product change of measure that preserves block independence and allows the fractional moments to be analyzed.

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Jhuan Huang. 2026-08-02. Fractional Moments of Small-Ball Masses for the Stochastic Heat Flow. https://arxiv.org/abs/2608.01141

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