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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KPZ 的分部积分和不变度量
利用斯坦因方法和高斯分部积分,我们直接证明了漂移布朗运动是 KPZ 方程的不变度量(高度模)这一已知事实。
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