{"title":"光滑平面凸体中随机圆盘多边形的序列展开","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":"{\"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}","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}
Series expansions for random disc-polygons in smooth plane convex bodies
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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