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.

Keywords: Renormalizing families, holomorphic mappings, repelling fixed point.

MSC: 32H50

Pages:  85--90     

Volume  56 ,  Issue  3$-$4 ,  2004