|
Errata for ``Cubic polynomial maps with periodic critical orbit, Part II: Escape regions''
Author(s):
Araceli
Bonifant;
Jan
Kiwi;
John
Milnor
Journal:
Conform. Geom. Dyn.
14
(2010),
190-193.
MSC (2010):
Primary 37F10, 30C10, 30D05
Posted:
July 26, 2010
Original article:
Conform. Geom. Dyn. 14 (2010), 68-112.
MathSciNet review:
2670510
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this note we fill in some essential details which were missing from our paper. In the case of an escape region with non-trivial kneading sequence, we prove that the canonical parameter can be expressed as a holomorphic function of the local parameter (where is the periodic critical point). Furthermore, we prove that for any escape region of grid period , the winding number of over the -plane is greater or equal than the multiplicity of .
References:
-
- [BKM]
- A. Bonifant, J. Kiwi and J. Milnor, Cubic Polynomial Maps with Periodic Critical Orbit, Part II: Escape Regions, Conformal Geometry and Dynamics 14 (2010) 68-112.
Similar Articles:
Retrieve articles in Conformal Geometry and Dynamics
with MSC
(2010):
37F10, 30C10, 30D05
Retrieve articles in all Journals with MSC
(2010):
37F10, 30C10, 30D05
Additional Information:
Araceli
Bonifant
Affiliation:
Department of Mathematics, University of Rhode Island, 5 Lippitt Road, Room 200, Kingston, Rhode Island 02881
Email:
bonifant@math.uri.edu
Jan
Kiwi
Affiliation:
Facultad de Matemáticas, Pontificia Universidad Católica, Casilla 306, Correo 22, Santiago de Chile, Chile
Email:
jkiwi@mat.puc.cl
John
Milnor
Affiliation:
Institute for Mathematical Sciences, Stony Brook University, Stony Brook, New York 11794-3660
Email:
jack@math.sunysb.edu
DOI:
10.1090/S1088-4173-2010-00213-4
PII:
S 1088-4173(2010)00213-4
Received by editor(s):
April 2, 2010
Posted:
July 26, 2010
Additional Notes:
The first author was partially supported by the Simons Foundation.
The second author was supported by Research Network on Low Dimensional Dynamics PBCT/CONICYT, Chile.
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|