Journal of the Ramanujan Mathematical Society

Volume 34, Issue 3, September 2019 pp. 343–363.

Examples of non--autonomous basins of attraction--II

Authors: Sayani Bera
Author institution:School of Mathematical and Computational Science, Indian Association for the Cultivation of Science, Kolkata, West Bengal 700 032, India

Summary: 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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