Errata for "cubic polynomial maps with periodic critical orbit, part II: Escape regions" Araceli Bonifant, Jan Kiwi, and John Milnor

Document Type

Article

Date of Original Version

9-6-2010

Abstract

In this note we fill in some essential details which were missing from our paper. In the case of an escape region εh with non-trivial kneading sequence, we prove that the canonical parameter t can be expressed as a holomorphic function of the local parameter η = a-1/μ (where a is the periodic critical point). Furthermore, we prove that for any escape region εh of grid period n ≥ 2, the winding number ν of εh over the t-plane is greater or equal than the multiplicity μ of εh. © 2010 American Mathematical Society.

Publication Title, e.g., Journal

Conformal Geometry and Dynamics

Volume

14

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