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
Citation/Publisher Attribution
Bonifant, Araceli, Jan Kiwi, and John Milnor. "Errata for "cubic polynomial maps with periodic critical orbit, part II: Escape regions" Araceli Bonifant, Jan Kiwi, and John Milnor." Conformal Geometry and Dynamics 14, (2010): 190-193. doi: 10.1090/S1088-4173-2010-00213-4.