有限级亚纯函数的不变原理

Invariance Principles for Meromorphic Functions of Finite Order

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.

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.