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Some Generalizations of a Classical Ergodic Property for IFS
IFS中一个经典遍历性质的一些推广

Keywords: Iterated function systems(IFS),Invariant measure,Ergodic,Banach limit
迭代函数系统(IFS)
,不变测度,遍历,Banach极限

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Abstract:

In this paper, the authors give some ergodic properties for the contractive iterated function systems(IFS) with probabilities. These results generalize the corresponding result of Elton's paper. One is similar to the results of Furstenberg and Assani's papers in weakly mixing system in a sense.

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