| 自相似测度对一些参数的连续依赖性 |
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| 引用本文： | 丁道新.自相似测度对一些参数的连续依赖性[J].湖北大学学报(自然科学版),2012,34(1):1-3,30. |
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| 作者姓名： | 丁道新 |
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| 作者单位： | 湖北第二师范学院数学与数量经济学院,湖北武汉,430205 |
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| 基金项目： | 国家自然科学基金(10971056);湖北省教育厅科学技术研究计划指导性项目(B20113005)资助 |
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| 摘 要： | 证明自相似测度对迭代函数系统的压缩因子、平移向量以及概率向量在Hutchinson度量意义下是连续依赖的.
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| 关 键 词： | 自相似测度 连续依赖 自相似集 迭代函数系统 |
Continuous dependence on the parameters of self-similar measures |
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| DING Daoxin.Continuous dependence on the parameters of self-similar measures[J].Journal of Hubei University(Natural Science Edition),2012,34(1):1-3,30. |
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| Authors: | DING Daoxin |
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| Institution: | DING Daoxin(School of Mathematics and Quantitative,Hubei University of Education,Wuhan 430205,China) |
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| Abstract: | It proved that the self-similar measures depend continuously on the contraction ratios,translation vectors and probability vectors which were on the iterated function system in the sense of Hutchinson metric. |
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| Keywords: | self-similar measure continuous dependence self-similar set iterated function system |
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