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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.

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On the dynamics of the McMullen family $R(z)=z^m +\lambda /z^{\ell }$
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by Norbert Steinmetz
Conform. Geom. Dyn. 10 (2006), 159-183
DOI: https://doi.org/10.1090/S1088-4173-06-00149-4
Published electronically: August 22, 2006
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Abstract:

In this note we discuss the parameter plane and the dynamics of the rational family $R(z)=z^m+\lambda /z^{\ell }$, with $m\ge 2$, $\ell \ge 1$, and $0<|\lambda |<\infty$.
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Bibliographic Information
  • Norbert Steinmetz
  • Affiliation: Fachbereich Mathematik, Universität Dortmund, D-44221 Dortmund, Germany
  • Email: stein@math.uni-dortmund.de
  • Received by editor(s): January 31, 2006
  • Published electronically: August 22, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 10 (2006), 159-183
  • MSC (2000): Primary 37F10, 37F15, 37F45
  • DOI: https://doi.org/10.1090/S1088-4173-06-00149-4
  • MathSciNet review: 2261046