{"title":"KPZ 的分部积分和不变度量","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":"{\"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}","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}
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
