{"title":"非线性纤维编码索引自仿射地毯的Hausdorff维数谱","authors":"Y. Gui","doi":"10.1109/IWCFTA.2009.86","DOIUrl":null,"url":null,"abstract":"In this paper we study a class of subsets of self-affine carpets which are indexed by fibre-coding, but their limiting frequencies have nonlinear relation. We obtain their Hausdorff dimension spectrum and give the necessary and sufficient conditions of these fractal sets to be s-set.","PeriodicalId":279256,"journal":{"name":"2009 International Workshop on Chaos-Fractals Theories and Applications","volume":"1 7","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Hausdorff Dimension Spectrum of Self-Affine Carpets Indexed by Nonlinear Fibre-Coding\",\"authors\":\"Y. Gui\",\"doi\":\"10.1109/IWCFTA.2009.86\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study a class of subsets of self-affine carpets which are indexed by fibre-coding, but their limiting frequencies have nonlinear relation. We obtain their Hausdorff dimension spectrum and give the necessary and sufficient conditions of these fractal sets to be s-set.\",\"PeriodicalId\":279256,\"journal\":{\"name\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"volume\":\"1 7\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Workshop on Chaos-Fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2009.86\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Workshop on Chaos-Fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2009.86","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hausdorff Dimension Spectrum of Self-Affine Carpets Indexed by Nonlinear Fibre-Coding
In this paper we study a class of subsets of self-affine carpets which are indexed by fibre-coding, but their limiting frequencies have nonlinear relation. We obtain their Hausdorff dimension spectrum and give the necessary and sufficient conditions of these fractal sets to be s-set.
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