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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 (frong@sjtu.edu.cn)
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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 

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