{"title":"ℤd-作用的准阴影","authors":"Juan Pan, Xian Kun Ren, Yun Hua Zhou","doi":"10.1007/s10114-023-1681-1","DOIUrl":null,"url":null,"abstract":"<div><p>A diffeomorphism is non-uniformly partially hyperbolic if it preserves an ergodic measure with at least one zero Lyapunov exponent. We prove that a <i>C</i><sup>1</sup>-smooth ℤ<sup><i>d</i></sup>-action has the quasi-shadowing property if one of the generators is <i>C</i><sup>1+<i>α</i></sup> (<i>α</i> > 0) non-uniformly partially hyperbolic.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasi-shadowing for ℤd-actions\",\"authors\":\"Juan Pan, Xian Kun Ren, Yun Hua Zhou\",\"doi\":\"10.1007/s10114-023-1681-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A diffeomorphism is non-uniformly partially hyperbolic if it preserves an ergodic measure with at least one zero Lyapunov exponent. We prove that a <i>C</i><sup>1</sup>-smooth ℤ<sup><i>d</i></sup>-action has the quasi-shadowing property if one of the generators is <i>C</i><sup>1+<i>α</i></sup> (<i>α</i> > 0) non-uniformly partially hyperbolic.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10114-023-1681-1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10114-023-1681-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A diffeomorphism is non-uniformly partially hyperbolic if it preserves an ergodic measure with at least one zero Lyapunov exponent. We prove that a C1-smooth ℤd-action has the quasi-shadowing property if one of the generators is C1+α (α > 0) non-uniformly partially hyperbolic.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
