Attraction rates for iterates of a superattracting skew product

Kohei Ueno

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arXiv · 2105.04068

Attraction rates for iterates of a superattracting skew product

Kohei Ueno

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Abstract

Let $f(z,w)=(p(z),q(z,w))$ be a holomorphic skew product with a superattracting fixed point at the origin. In the previous paper we have succeeded to specify a dominant term of $q$ by the order of $p$ and the Newton polygon of $q$ and to construct a B\"{o}ttcher coordinate on an invariant wedge. By using the same idea and terminologies, we give inequalities of attraction rates for the vertical dynamics of $f$ in this paper. The results hold not only for the superattracting case, but for all the other cases.

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BibTeX RIS

Kohei Ueno. 2021-05-10. Attraction rates for iterates of a superattracting skew product. https://arxiv.org/abs/2105.04068

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