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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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Some rational maps whose Julia sets are not locally connected
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by P. Roesch PDF
Conform. Geom. Dyn. 10 (2006), 125-135 Request permission

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.
References
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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
  • Received by editor(s): May 11, 2005
  • Received by editor(s) in revised form: April 7, 2006
  • Published electronically: July 6, 2006
  • Additional Notes: Research partially supported by the Morningside Center of Mathematics in Beijing
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 10 (2006), 125-135
  • MSC (2000): Primary 37F50; Secondary 37F10
  • DOI: https://doi.org/10.1090/S1088-4173-06-00139-1
  • MathSciNet review: 2237276