Some Dimensional Results of a Class of Homogeneous Moran Sets
In this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions. We also prove that the upper box dimension and the packing dimension of the sets can get the maximum value of the homogeneou...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6965671 |
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| _version_ | 1832546082898313216 |
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| author | Jingru Zhang Yanzhe Li Manli Lou |
| author_facet | Jingru Zhang Yanzhe Li Manli Lou |
| author_sort | Jingru Zhang |
| collection | DOAJ |
| description | In this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions. We also prove that the upper box dimension and the packing dimension of the sets can get the maximum value of the homogeneous Moran sets under the condition supk≥1mk<∞ and estimate the upper box dimension of the sets in two cases. |
| format | Article |
| id | doaj-art-bb7488fd395b4f14a89115c0a139b2db |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bb7488fd395b4f14a89115c0a139b2db2025-02-03T07:24:01ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/69656716965671Some Dimensional Results of a Class of Homogeneous Moran SetsJingru Zhang0Yanzhe Li1Manli Lou2School of Mathematical Sciences, South China Normal University, Guangzhou 510631, ChinaCollege of Mathematics and Information Science, Guangxi Center for Mathematical Research, Guangxi University, Nanning 530004, ChinaDepartment of Mathematics, Guangdong Polytechnic Normal University, Guangzhou 510665, ChinaIn this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions. We also prove that the upper box dimension and the packing dimension of the sets can get the maximum value of the homogeneous Moran sets under the condition supk≥1mk<∞ and estimate the upper box dimension of the sets in two cases.http://dx.doi.org/10.1155/2021/6965671 |
| spellingShingle | Jingru Zhang Yanzhe Li Manli Lou Some Dimensional Results of a Class of Homogeneous Moran Sets Journal of Mathematics |
| title | Some Dimensional Results of a Class of Homogeneous Moran Sets |
| title_full | Some Dimensional Results of a Class of Homogeneous Moran Sets |
| title_fullStr | Some Dimensional Results of a Class of Homogeneous Moran Sets |
| title_full_unstemmed | Some Dimensional Results of a Class of Homogeneous Moran Sets |
| title_short | Some Dimensional Results of a Class of Homogeneous Moran Sets |
| title_sort | some dimensional results of a class of homogeneous moran sets |
| url | http://dx.doi.org/10.1155/2021/6965671 |
| work_keys_str_mv | AT jingruzhang somedimensionalresultsofaclassofhomogeneousmoransets AT yanzheli somedimensionalresultsofaclassofhomogeneousmoransets AT manlilou somedimensionalresultsofaclassofhomogeneousmoransets |