Integration by parts and invariant measure for KPZ

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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Publication Details

Journal
Transactions of the American Mathematical Society
Published
2025-10-02
DOI
https://doi.org/10.1090/tran/9542
Citations
1
Primary Topic
Stochastic processes and financial applications
Type
article
Field-Weighted Citation Impact
2.21
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article

Integration by parts and invariant measure for KPZ

Jeremy Quastel, Yu Gu
1 citations
Transactions of the American Mathematical Society
Stochastic processes and financial applications
2.21
article

Integration by parts and invariant measure for KPZ

Jeremy Quastel, Yu Gu
article en
1 citations

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.

Transactions of the American Mathematical SocietyVol. 379(2)
University of Toronto (CA), University of Maryland, College Park (US)
Openalex Percentile: Top 10%
Stochastic processes and financial applications
2.21
DOISourceOpenAlex
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Integration by parts and invariant measure for KPZ — Jeremy Quastel, Yu Gu · Transactions of the American Mathematical Society (2025) | TGRS Research Map | TGRS