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Positive-measure self-similar sets without interior
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Csornyei, M., Jordan, T., Pollicott, M., Preiss, David and Solomyak, B.. (2006) Positive-measure self-similar sets without interior. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 26 (Part 3). pp. 755-758. ISSN 0143-3857
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Official URL: http://dx.doi.org/10.1017/S0143385705000702
Abstract
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.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | ERGODIC THEORY AND DYNAMICAL SYSTEMS |
| Publisher: | CAMBRIDGE UNIV PRESS |
| ISSN: | 0143-3857 |
| Date: | June 2006 |
| Volume: | 26 |
| Number: | Part 3 |
| Number of Pages: | 4 |
| Page Range: | pp. 755-758 |
| Identification Number: | 10.1017/S0143385705000702 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/33373 |
Data sourced from Thomson Reuters' Web of Knowledge
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