Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-16T17:02:03.167Z Has data issue: false hasContentIssue false
  • English
  • Français

Attracting domains for quasi-parabolic analytic transformations of ℂ2

Part of: Holomorphic mappings and correspondences

Published online by Cambridge University Press:  22 March 2016

Feng Rong
Feng Rong*
Affiliation:
Department of Mathematics, School of Mathematical Sciences, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai 200240, People's Republic of China ([email protected])
Get access Rights & Permissions [Opens in a new window]

Extract

We study quasi-parabolic analytic transformations of ℂ2 that are ‘non-dynamically separating’. With the help of some new local invariants, we show the existence of attracting domains for such analytic transformations.

Keywords

attracting domainsquasi-parabolic transformationnon-dynamically separating transformations

MSC classification

Secondary: 32H50: Iteration problems
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 3 , June 2016 , pp. 665 - 670
Copyright
Copyright © Royal Society of Edinburgh 2016 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)