Examples of non-autonomous basins of attraction

Bera, Sayani; Pal, Ratna; Verma, Kaushal

doi:10.48550/arxiv.1706.05567

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2018

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“…We continue our work on non-autonomous basins of attraction, in particular on Short C k 's from [2]. Recall that a Short C k is a proper subdomain of Ω ⊂ C k satisfying the following properties:…”

Section: Introductionmentioning

confidence: 99%

“…Note that the maps F n in (1.1) are not uniformly bounded at the origin. The purpose of [2] was to give examples of Short C k 's that were motivated by the existing examples of Fatou-Bieberbach domains. Here we will extend this list by providing more examples of Short C k 's -in fact these examples will be biholomorphic images of non-autonomous basins of sequences of automorphisms satisfying the uniform upper-bound condition.…”

Section: Introductionmentioning

confidence: 99%

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