María Ángeles García-Ferrero, Joaquim Ortega-Cerdà
{"title":"多项式集中不等式的稳定性","authors":"María Ángeles García-Ferrero, Joaquim Ortega-Cerdà","doi":"arxiv-2408.07424","DOIUrl":null,"url":null,"abstract":"In this paper, we study the stability of the concentration inequality for\none-dimensional complex polynomials. We provide the stability of the local\nconcentration inequality and a global version using a Wehrl-type entropy.","PeriodicalId":501145,"journal":{"name":"arXiv - MATH - Classical Analysis and ODEs","volume":"43 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability of the concentration inequality on polynomials\",\"authors\":\"María Ángeles García-Ferrero, Joaquim Ortega-Cerdà\",\"doi\":\"arxiv-2408.07424\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the stability of the concentration inequality for\\none-dimensional complex polynomials. We provide the stability of the local\\nconcentration inequality and a global version using a Wehrl-type entropy.\",\"PeriodicalId\":501145,\"journal\":{\"name\":\"arXiv - MATH - Classical Analysis and ODEs\",\"volume\":\"43 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Classical Analysis and ODEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.07424\",\"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 - Classical Analysis and ODEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.07424","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability of the concentration inequality on polynomials
In this paper, we study the stability of the concentration inequality for
one-dimensional complex polynomials. We provide the stability of the local
concentration inequality and a global version using a Wehrl-type entropy.