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- Publisher Website: 10.1017/S0024610701001946
- Scopus: eid_2-s2.0-0035376961
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Article: Hausdorff dimension of self-similar sets with overlaps
| Title | Hausdorff dimension of self-similar sets with overlaps |
|---|---|
| Authors | |
| Issue Date | 2001 |
| Citation | Journal of the London Mathematical Society, 2001, v. 63, n. 3, p. 655-672 How to Cite? |
| Abstract | The notion of 'finite type' iterated function systems of contractive similitudes is introduced, and a scheme for computing the exact Hausdorff dimension of their attractors in the absence of the open set condition is described. This method extends a previous one by Lalley, and applies not only to the classes of self-similar sets studied by Edgar, Lalley, Rao and Wen, and others, but also to some new classes that are not covered by the previous ones. |
| Persistent Identifier | http://hdl.handle.net/10722/362975 |
| ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 1.383 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ngai, Sze Man | - |
| dc.contributor.author | Wang, Yang | - |
| dc.date.accessioned | 2025-10-10T07:43:48Z | - |
| dc.date.available | 2025-10-10T07:43:48Z | - |
| dc.date.issued | 2001 | - |
| dc.identifier.citation | Journal of the London Mathematical Society, 2001, v. 63, n. 3, p. 655-672 | - |
| dc.identifier.issn | 0024-6107 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/362975 | - |
| dc.description.abstract | The notion of 'finite type' iterated function systems of contractive similitudes is introduced, and a scheme for computing the exact Hausdorff dimension of their attractors in the absence of the open set condition is described. This method extends a previous one by Lalley, and applies not only to the classes of self-similar sets studied by Edgar, Lalley, Rao and Wen, and others, but also to some new classes that are not covered by the previous ones. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Journal of the London Mathematical Society | - |
| dc.title | Hausdorff dimension of self-similar sets with overlaps | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1017/S0024610701001946 | - |
| dc.identifier.scopus | eid_2-s2.0-0035376961 | - |
| dc.identifier.volume | 63 | - |
| dc.identifier.issue | 3 | - |
| dc.identifier.spage | 655 | - |
| dc.identifier.epage | 672 | - |