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Böttcher coordinates at fixed indeterminacy points

Published online by Cambridge University Press:  13 March 2018

KOHEI UENO
KOHEI UENO*
Affiliation:
Daido University, Nagoya 457-8530, Japan email k-ueno@daido-it.ac.jp
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Abstract

We first consider the dynamics of a class of meromorphic skew products having superattracting fixed points or fixed indeterminacy points at the origin. Our theorem asserts that, if a map has a suitable weight, then it is conjugate to the associated monomial map on an invariant open set whose closure contains the origin. We next extend this result to a wider class of meromorphic maps such that the eigenvalues of the associated matrices are real and greater than $1$.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 12 , December 2019 , pp. 3437 - 3456
Copyright
© Cambridge University Press, 2018 

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