Mapping the punctured plane with wandering domains
type: Item
instance of: scholarly article
title: Mapping the punctured plane with wandering domains
zbMATH Open document ID: 0733.30019
DOI: 10.1007/BF00972784
author: A. N. Mukhamedshin
published in: Siberian Mathematical Journal
publication date: 1991-01-01T00:00:00Z
review text: The author constructs an analytic self-map of the plane punctured at 0 such that its Fatou set contains (i) a Hermann ring, (ii) a component which wanders to 0 and (iii) a component which wanders to \(\infty\).
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 37B99
zbMATH DE Number: 4212397
zbMATH Keywords: wandering domains
zbMATH Keywords: Fatou set
zbMATH Keywords: Hermann ring
MaRDI profile type: Publication
cites work: Wandering domains for maps of the punctured plane
cites work: Q3752617
cites work: Iteration of analytic functions
cites work: On the quasiconformal surgery of rational functions
cites work: Riemann's mapping theorem for variable metrics
description: scientific article; zbMATH DE number 4212397