{"title":"Series expansions for random disc-polygons in smooth plane convex bodies","authors":"F. Fodor, Nicolás A. Montenegro Pinzón","doi":"10.1017/jpr.2024.27","DOIUrl":null,"url":null,"abstract":"\n We establish power-series expansions for the asymptotic expectations of the vertex number and missed area of random disc-polygons in planar convex bodies with \n \n \n \n$C^{k+1}_+$\n\n \n -smooth boundaries. These results extend asymptotic formulas proved in Fodor et al. (2014).","PeriodicalId":0,"journal":{"name":"","volume":"45 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1017/jpr.2024.27","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We establish power-series expansions for the asymptotic expectations of the vertex number and missed area of random disc-polygons in planar convex bodies with
$C^{k+1}_+$
-smooth boundaries. These results extend asymptotic formulas proved in Fodor et al. (2014).
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