Attraction rates for iterates of a superattracting skew product

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 & ouml;ttcher coordinate on an invariant wedge. By using the same idea and terminologies, we give inequalities on 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. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.