Positive-measure self-similar sets without interior

被引:11
作者
Csornyei, M.
Jordan, T.
Pollicott, M.
Preiss, D.
Solomyak, B.
机构
[1] UCL, Dept Math, London WC1E 6BT, England
[2] Univ Warwick, Dept Math, Coventry CV4 7AL, W Midlands, England
[3] Univ Washington, Dept Math, Seattle, WA 98195 USA
关键词
D O I
10.1017/S0143385705000702
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We recall the problem posed by Peres and Solomyak in Problems on self-similar and self-affine sets; an update. Progr Prob. 46 (2000), 95-106: can one find examples of self-similar sets with. positive Lebesgue measure, but with no interior? The method in Properties of measures supported on fat Sierpinski carpets, this issue, leads to families of examples of such sets.
引用
收藏
页码:755 / 758
页数:4
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