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arXiv · 2409.08465

Integration by parts and invariant measure for KPZ

Yu Gu·Jeremy Quastel
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Abstract

Using Stein's method and a Gaussian integration by parts, we provide a direct proof of the known fact that drifted Brownian motions are invariant measures (modulo height) for the KPZ equation.

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Yu Gu, Jeremy Quastel. 2025-04-08. Integration by parts and invariant measure for KPZ. https://arxiv.org/abs/2409.08465

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