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Some rational maps whose Julia sets are not locally connected

Author(s): P. Roesch
Journal: Conform. Geom. Dyn. 10 (2006), 125-135.
MSC (2000): Primary 37F50; Secondary 37F10
Posted: July 6, 2006
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Abstract | References | Similar articles | Additional information

Abstract: We describe examples of rational maps which are not topologically conjugate to a polynomial and whose Julia sets are connected but not locally connected.


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Additional Information:

P. Roesch
Affiliation: UMR Paul Painleve, University of Lille 1, Cité scientifique - Bâtiment M2, 69655 Villeneuve d'Ascq Cedex, France
Email: roesch@math.univ-lille1.fr

DOI: 10.1090/S1088-4173-06-00139-1
PII: S 1088-4173(06)00139-1
Received by editor(s): May 11, 2005
Received by editor(s) in revised form: April 7, 2006
Posted: July 6, 2006
Additional Notes: Research partially supported by the Morningside Center of Mathematics in Beijing
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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