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Transitivity and sensitivity of iterated function systems via Furstenberg families
Aequationes Mathematicae ( IF 0.8 ) Pub Date : 2020-10-06 , DOI: 10.1007/s00010-020-00757-8
Rahul Thakur , Ruchi Das

In this paper, we study variants of transitivity and sensitivity via Furstenberg families for iterated function systems (IFSs). Using the concept of skew product transformation of an IFS, we obtain results related to characterizations of the concepts studied. Also results regarding the inverse, conjugacy and product of IFSs are studied. Wherever necessary examples and counterexamples are provided related to the results obtained.



中文翻译:

通过Furstenberg系列的迭代功能系统的传递性和灵敏度

在本文中,我们通过Furstenberg系列研究了迭代功能系统(IFS)的传递性和灵敏度的变体。使用IFS的偏积变换的概念,我们获得了与所研究概念的表征相关的结果。还研究了有关IFS的逆,共轭和乘积的结果。在必要时提供与获得的结果有关的示例和反例。

更新日期:2020-10-06
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