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Integration by parts and invariant measure for KPZ

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arxiv 2409.08465 v2 pith:5BTW2U27 submitted 2024-09-13 math.PR math-phmath.MP

Yu Gu , Jeremy Quastel This is my paper · ORCID
classification math.PRmath-phmath.MP
keywords integrationinvariantpartsbrowniandirectdriftedequationfact
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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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Cited by 1 Pith paper

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  1. Dynamic scaling of growing interfaces

    cond-mat.dis-nn 2025-07 unverdicted novelty 1.0 of 10

    An expert review of the KPZ equation's history, mathematical developments, and applications, with no new research results.

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