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Examples of non-autonomous basins of attraction-II

Complex Variables 2018-01-26 v2 Dynamical Systems

Abstract

The aim of this article is to enlarge the list of examples of non-autonomous basins of attraction from our previous paper and at the same time explore some other properties that they satisfy. For instance, we show the existence of countably many disjoint Short Ck\mathbb{C}^k's in Ck.\mathbb{C}^k. We also construct a Short Ck\mathbb{C}^k which is not Runge and exhibit yet another example whose boundary has Hausdorff dimension 2k.2k.

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Cite

@article{arxiv.1801.06321,
  title  = {Examples of non-autonomous basins of attraction-II},
  author = {Sayani Bera},
  journal= {arXiv preprint arXiv:1801.06321},
  year   = {2018}
}

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21 pages