{"title":"Self-Affine Sets","authors":"A. Kaenmaki","doi":"10.1017/9781108778459.009","DOIUrl":null,"url":null,"abstract":". In this paper we consider diagonally affine, planar IFS Φ = { S i ( x,y )=( α i x + t i, 1 ,β i y + t i, 2 ) } mi =1 . Combining the techniques of Hochman and Feng and Hu, we compute the Hausdorff dimension of the self-affine attractor and measures and we give an upper bound for the dimension of the exceptional set of parameters.","PeriodicalId":385815,"journal":{"name":"Assouad Dimension and Fractal Geometry","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Assouad Dimension and Fractal Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/9781108778459.009","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
. In this paper we consider diagonally affine, planar IFS Φ = { S i ( x,y )=( α i x + t i, 1 ,β i y + t i, 2 ) } mi =1 . Combining the techniques of Hochman and Feng and Hu, we compute the Hausdorff dimension of the self-affine attractor and measures and we give an upper bound for the dimension of the exceptional set of parameters.