Journal of the Ramanujan Mathematical Society

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Examples of Non–Autonomous Basins of Attraction–II


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1 School of Mathematical and Computational Science, Indian Association for the Cultivation of Science, Kolkata, West Bengal, 700032, India
     

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The aim of this article is to enlarge the list of examples of non–autonomous basins of attraction from [2] and at the same time explore some other properties that they satisfy. For instance, we show the existence of countably many disjoint Short ℂk ’s in ℂk . We also construct a Short ℂk which is not Runge and exhibit yet another example whose boundary has Hausdorff dimension 2k.
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  • Examples of Non–Autonomous Basins of Attraction–II

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Authors

Sayani Bera
School of Mathematical and Computational Science, Indian Association for the Cultivation of Science, Kolkata, West Bengal, 700032, India

Abstract


The aim of this article is to enlarge the list of examples of non–autonomous basins of attraction from [2] and at the same time explore some other properties that they satisfy. For instance, we show the existence of countably many disjoint Short ℂk ’s in ℂk . We also construct a Short ℂk which is not Runge and exhibit yet another example whose boundary has Hausdorff dimension 2k.

References