arXiv Open Access 2022

Wandering Domains in $\mathbb{C}\times \mathbb{R}$

Ramanpreet Kaur

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Abstrak

Approximation theory of entire functions has been used to demonstrate the construction of a map on $\mathbb{C}\times\mathbb{R}$ 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.

Topik & Kata Kunci

math.CV math.DS

Penulis (1)

Ramanpreet Kaur

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Kaur, R. (2022). Wandering Domains in $\mathbb{C}\times \mathbb{R}$. https://arxiv.org/abs/2209.07473

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓