Dimension properties of random fractals with overlaps
文献类型：期刊论文
| 作者 | Shieh, NR; Yu, JH |
| 刊名 | TAIWANESE JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2005-06-01 |
| 卷号 | 9期号:2页码:313-330 |
| 关键词 | random fractal limited overlaps condition Hausdorff dimension upper box dimension regularity |
| 英文摘要 | We consider random fractals generated by random recursive constructions with overlaps. Our construction allows some overlaps among sets in the same generation. We introduce A certain "limited overlaps condition". Under this condition, we prove that the Hausdorff dimension of the generated fractal satisfies the expectation equation (upon non-extinction), which was studied previously by Falconer, Graf, Mauldin and Williams under open set condition. We also prove that the generated fractal is regular in the sense that its Hausdorff and upper box dimension are equal to a non-random constant (this result holds without assumption of limited overlaps condition). |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | SELF-SIMILAR FRACTALS |
| 收录类别 | ISTP ; SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000230120900011 |
| 公开日期 | 2015-07-28 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/4560]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shieh, NR,Yu, JH. Dimension properties of random fractals with overlaps[J]. TAIWANESE JOURNAL OF MATHEMATICS,2005,9(2):313-330. |
| APA | Shieh, NR,&Yu, JH.(2005).Dimension properties of random fractals with overlaps.TAIWANESE JOURNAL OF MATHEMATICS,9(2),313-330. |
| MLA | Shieh, NR,et al."Dimension properties of random fractals with overlaps".TAIWANESE JOURNAL OF MATHEMATICS 9.2(2005):313-330. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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