| 随机自相似测度的无穷阶量子化维数 |
| |
| 引用本文： | 王春敏. 随机自相似测度的无穷阶量子化维数[J]. 镇江高专学报, 2013, 0(3): 49-54 |
| |
| 作者姓名： | 王春敏 |
| |
| 作者单位： | 镇江高等职业技术学校综合部,江苏镇江212016 |
| |
| 摘 要： | 当压缩相似映射{Si}i=1N满足开集条件时，随机自相似测度μ的无穷阶量子化雏数D∞（μ）与随机自相似集E的相似维数D之间以概率1的相等关系。
|
| 关 键 词： | 随机自相似测度 量子化维数 随机自相似集 相似维数 |
The quantization dimension of order infinity for random serf-similar measures |
| |
| WANG Chun-min. The quantization dimension of order infinity for random serf-similar measures[J]. Journal of Zhenjiang College, 2013, 0(3): 49-54 |
| |
| Authors: | WANG Chun-min |
| |
| Affiliation: | WANG Chun-min ( Comprehensive Department, Zhenjiang Higher Vocational and Technical School, Zhenjiang 212016, China) |
| |
| Abstract: | When {Si}i=1N satisfies the open set condition, the quantization dimension of order infinite D∞（μ） is determined and it is shown that it coincedes with the similarity dimension D of the random self-similar set E with probability 1. |
| |
| Keywords: | random self-similar measure quantization dimension random self-similar set similarity dimension |
| 本文献已被 维普 等数据库收录！ |
