Intersections of Translation of a Class of Self-Affine Sets
Intersections of translation of a class of self-affine sets are investigated by constructing sofic affine-invariant sets which coincide with these sets and then a scheme for computing the Hausdorff dimensions of these intersections is given.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/953082 |
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| _version_ | 1832564787339329536 |
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| author | Jian Lu Yuru Zou Lijing Wang |
| author_facet | Jian Lu Yuru Zou Lijing Wang |
| author_sort | Jian Lu |
| collection | DOAJ |
| description | Intersections of translation of a class of self-affine sets are investigated by constructing sofic affine-invariant sets which coincide with these sets and then a scheme for computing the Hausdorff dimensions of these intersections is given. |
| format | Article |
| id | doaj-art-eb55194153bf4eee84cff85131342b6b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-eb55194153bf4eee84cff85131342b6b2025-02-03T01:10:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/953082953082Intersections of Translation of a Class of Self-Affine SetsJian Lu0Yuru Zou1Lijing Wang2College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaIntersections of translation of a class of self-affine sets are investigated by constructing sofic affine-invariant sets which coincide with these sets and then a scheme for computing the Hausdorff dimensions of these intersections is given.http://dx.doi.org/10.1155/2013/953082 |
| spellingShingle | Jian Lu Yuru Zou Lijing Wang Intersections of Translation of a Class of Self-Affine Sets Journal of Applied Mathematics |
| title | Intersections of Translation of a Class of Self-Affine Sets |
| title_full | Intersections of Translation of a Class of Self-Affine Sets |
| title_fullStr | Intersections of Translation of a Class of Self-Affine Sets |
| title_full_unstemmed | Intersections of Translation of a Class of Self-Affine Sets |
| title_short | Intersections of Translation of a Class of Self-Affine Sets |
| title_sort | intersections of translation of a class of self affine sets |
| url | http://dx.doi.org/10.1155/2013/953082 |
| work_keys_str_mv | AT jianlu intersectionsoftranslationofaclassofselfaffinesets AT yuruzou intersectionsoftranslationofaclassofselfaffinesets AT lijingwang intersectionsoftranslationofaclassofselfaffinesets |