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Conformal Geometry and Dynamics

Published by the American Mathematical Society since 1997, the purpose of this electronic-only journal is to provide a forum for mathematical work in related fields broadly described as conformal geometry and dynamics. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.49.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Triviality of fibers for Misiurewicz parameters in the exponential family
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by Anna Miriam Benini
Conform. Geom. Dyn. 15 (2011), 133-151
DOI: https://doi.org/10.1090/S1088-4173-2011-00227-X
Published electronically: September 20, 2011

Abstract:

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.
References
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Bibliographic 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: https://doi.org/10.1090/S1088-4173-2011-00227-X
  • MathSciNet review: 2833476