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On the existence of the Hutchinson measure for generalized iterated function systems
Qualitative Theory of Dynamical Systems ( IF 1.4 ) Pub Date : 2020-09-07 , DOI: 10.1007/s12346-020-00420-2
Filip Strobin

We prove that each generalized (in the sense of Miculescu and Mihail) IFS consisting of contractive maps generates the unique generalized Hutchinson measure. This result extends the earlier result due to Miculescu in which the assertion is proved under certain additional contractive assumptions.

中文翻译:

关于广义迭代函数系统Hutchinson测度的存在性

我们证明由收缩图组成的每个广义IFS(在Miculescu和Mihail的意义上)都会生成唯一的广义Hutchinson度量。由于Miculescu,此结果扩展了较早的结果,其中在某些其他收缩假设下证明了该断言。
更新日期:2020-09-07
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