{"title":"中心凸体的仿射子空间集中不等式","authors":"K. Eller, A. Freyer","doi":"10.1007/s10474-025-01508-4","DOIUrl":null,"url":null,"abstract":"<div><p>An affine version of the linear subspace concentration inequality as proposed by Wu in [11] is established for centered convex bodies. This generalizes results from [11] and [8] on polytopes to convex bodies.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"175 1","pages":"26 - 36"},"PeriodicalIF":0.6000,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-025-01508-4.pdf","citationCount":"0","resultStr":"{\"title\":\"The affine subspace concentration inequality for centered convex bodies\",\"authors\":\"K. Eller, A. Freyer\",\"doi\":\"10.1007/s10474-025-01508-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>An affine version of the linear subspace concentration inequality as proposed by Wu in [11] is established for centered convex bodies. This generalizes results from [11] and [8] on polytopes to convex bodies.</p></div>\",\"PeriodicalId\":50894,\"journal\":{\"name\":\"Acta Mathematica Hungarica\",\"volume\":\"175 1\",\"pages\":\"26 - 36\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-02-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s10474-025-01508-4.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Hungarica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10474-025-01508-4\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-025-01508-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
The affine subspace concentration inequality for centered convex bodies
An affine version of the linear subspace concentration inequality as proposed by Wu in [11] is established for centered convex bodies. This generalizes results from [11] and [8] on polytopes to convex bodies.
期刊介绍:
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.