{"title":"斯坦纳对称化的非收敛性","authors":"Tian Wang, Youjiang Lin","doi":"10.1051/wujns/2023283217","DOIUrl":null,"url":null,"abstract":"In this paper, we demonstrate the existence of iterated Steiner symmetrizations of [see formula in PDF] that does not converge, even if the sequence of directions is dense in the unit sphere.","PeriodicalId":56925,"journal":{"name":"","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Non-Convergence of Steiner Symmetrizations\",\"authors\":\"Tian Wang, Youjiang Lin\",\"doi\":\"10.1051/wujns/2023283217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we demonstrate the existence of iterated Steiner symmetrizations of [see formula in PDF] that does not converge, even if the sequence of directions is dense in the unit sphere.\",\"PeriodicalId\":56925,\"journal\":{\"name\":\"\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://doi.org/10.1051/wujns/2023283217\",\"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":"1093","ListUrlMain":"https://doi.org/10.1051/wujns/2023283217","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we demonstrate the existence of iterated Steiner symmetrizations of [see formula in PDF] that does not converge, even if the sequence of directions is dense in the unit sphere.
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