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Wandering Domains in ℂ× ℝ

2022/09/15 by Ramanpreet Kaur, Kaur, Ramanpreet
Mathematics · #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2209.07473

openalex publication_date 2022/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Approximation theory of entire functions has been used to demonstrate the construction of a map on ℂ×ℝ having wandering domains. We also present suitable modification to this construction that helps in obtaining maps with similar characteristics such as infinitely many attracting Fatou components, infinitely many wandering domains having common paths, etc.

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