| 具有有限记忆的随机分形的重分形分解 |
| |
| 引用本文： | 马强,戴朝寿.具有有限记忆的随机分形的重分形分解[J].应用概率统计,2010,26(6):561-576. |
| |
| 作者姓名： | 马强 戴朝寿 |
| |
| 作者单位： | 江苏技术师范学院数理学院,徐州师范大学数学科学学院 |
| |
| 摘 要： | Dryakhlov和Tempelman对具有有限记忆的随机分形集的Hausdorff维数进行了研究,本文对具有有限记忆的随机分形集K(ω)的重分形分解集Kα(ω)进行研究,得到了在一定条件下,这种随机分形集重分形分解集Kα(ω)的Hausdorff维数表达式.
|
| 关 键 词： | 具有有限记忆的随机分形 重分形分解 Perron-Frobenius定理 鞅 局部维数 |
Mutlifractal Decomposition of Random Fractal with Finite Memory |
| |
| MA QIANG,DAI CHAOSHOU.Mutlifractal Decomposition of Random Fractal with Finite Memory[J].Chinese Journal of Applied Probability and Statisties,2010,26(6):561-576. |
| |
| Authors: | MA QIANG DAI CHAOSHOU |
| |
| Institution: | Jiangsu Teachers University of Technology,Xuzhou Normal University |
| |
| Abstract: | The Hausdorff dimension about random fractal sets
with finite memory has been studied by Dryakhlov and Tempelman. In
this paper, the multifractal decomposition of random fractal sets
with finite memory is researched and under some certain conditions
the Hausdorff dimension expression of the multifractal decomposition
set $K_{\alpha}(\omega)$ for random fractal set with finite memory
is given. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《应用概率统计》浏览原始摘要信息 |
| 点击此处可从《应用概率统计》下载免费的PDF全文 |
