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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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Triviality of fibers for Misiurewicz parameters in the exponential family
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by Anna Miriam Benini PDF
Conform. Geom. Dyn. 15 (2011), 133-151 Request permission


We consider the family of holomorphic maps $e^z+c$ and show that fibers of postsingularly finite parameters are trivial. This can be considered as the first and simplest class of non-escaping parameters for which we can obtain results about triviality of fibers in the exponential family.
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Additional Information
  • Anna Miriam Benini
  • Affiliation: Department of Mathematics, Stony Brook University, Building 5-116, Stony Brook, New York 11794
  • Received by editor(s): September 9, 2009
  • Received by editor(s) in revised form: March 15, 2010, May 17, 2010, September 29, 2010, October 14, 2010, October 19, 2010, and May 5, 2011
  • Published electronically: September 20, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 15 (2011), 133-151
  • MSC (2010): Primary 37F10, 37F20, 37F45
  • DOI:
  • MathSciNet review: 2833476