{"title":"C的多项式自同构的闭引理","authors":"Romain Dujardin","doi":"10.24033/ast.11098","DOIUrl":null,"url":null,"abstract":"We prove that for a polynomial diffeomorphism of C^2 , the support of any invariant measure, apart from a few obvious cases, is contained in the closure of the set of saddle periodic points.","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":"415 1","pages":"35-43"},"PeriodicalIF":1.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A closing lemma for polynomial automorphisms of C\",\"authors\":\"Romain Dujardin\",\"doi\":\"10.24033/ast.11098\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove that for a polynomial diffeomorphism of C^2 , the support of any invariant measure, apart from a few obvious cases, is contained in the closure of the set of saddle periodic points.\",\"PeriodicalId\":55445,\"journal\":{\"name\":\"Asterisque\",\"volume\":\"415 1\",\"pages\":\"35-43\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2020-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asterisque\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.24033/ast.11098\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asterisque","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.24033/ast.11098","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
We prove that for a polynomial diffeomorphism of C^2 , the support of any invariant measure, apart from a few obvious cases, is contained in the closure of the set of saddle periodic points.
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