{"title":"Integration by parts and invariant measure for KPZ","authors":"Yu Gu, Jeremy Quastel","doi":"arxiv-2409.08465","DOIUrl":null,"url":null,"abstract":"Using Stein's method and a Gaussian integration by parts, we provide a direct\nproof of the known fact that drifted Brownian motions are invariant measures\n(modulo height) for the KPZ equation.","PeriodicalId":501245,"journal":{"name":"arXiv - MATH - Probability","volume":"54 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Probability","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08465","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.