Renormalizing iterated repelling germs of $C^2$

Claudio Meneghini

Renormalizing iterated repelling germs of $C^{2}$

Authors

Claudio Meneghini Dept. of Mathematics, University of Parma, 85, Strada M.D'Azeglio, 43100 Parma (I), Italy Author

Keywords:

Renormalizing families, holomorphic mappings, repelling fixed point

Subjects:

32H50

Abstract

We find bounded-degree renormalizing polynomial families for iterated repelling germs of $(C^{2}, 0)$ . These families consist in contracting mappings and yield germs whose differentials have rank two.

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Published

2004-10-15

Issue

Vol. 56 No. 3–4 (2004): Vol. 56, Issue 3–4

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Renormalizing iterated repelling germs of C2