| 夏红强.有限级亚纯函数的不变原理[J].数学年刊A辑,2010,31(1):99~106 |
| 有限级亚纯函数的不变原理 |
| Invariance Principles for Meromorphic Functions of Finite Order |
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| DOI： |
| 中文关键词: 几乎必然不变原理 中心极限定理 亚纯函数 |
| 英文关键词:Almost sure invariance principle Central limit theorem Meromorphic functions |
| 基金项目:国家自然科学基金，留学回国人员科研启动基金(No.2007-1108)资助的项目 |
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| 中文摘要: |
| 研究有限级亚纯函数的统计性质,证明了有限级亚纯函数的几乎必然不变原理,如中心极限定理、重对数定律和泛函中心极限定理等统计定律是几乎必然不变原理的推论. |
| 英文摘要: |
| This paper considers the statistical properties of meromorphic functions of finite order and proves the almost sure invariance principle for meromorphic functions of finite order. Statistical limit laws,such as the central limit theorem,the law of the iterated logarithm,and their functional versions,are immediate consequences. |
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