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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.


Potential theory and a characterization of polynomials in complex dynamics
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by Yûsuke Okuyama and Małgorzata Stawiska
Conform. Geom. Dyn. 15 (2011), 152-159
Published electronically: October 4, 2011


We obtain a characterization of polynomials among rational functions on $\mathbb {P}^1$ from the point of view of complex dynamics and potential theory. This characterization generalizes a theorem of Lopes. Our proof applies both classical and (dynamically) weighted potential theory.
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Bibliographic Information
  • Yûsuke Okuyama
  • Affiliation: Division of Mathematics, Graduate School of Science and Technology, Kyoto Institute of Technology, Kyoto 606-8585 Japan
  • Małgorzata Stawiska
  • Affiliation: Department of Mathematics, University of Kansas, 1460 Jayhawk Blvd., Lawrence, Kansas 66045
  • Address at time of publication: Mathematical Reviews, 416 Fourth St., Ann Arbor, Michigan 48103
  • ORCID: 0000-0001-5704-7270
  • Email:
  • Received by editor(s): December 14, 2010
  • Published electronically: October 4, 2011
  • Additional Notes: The first author was partially supported by JSPS Grant-in-Aid for Young Scientists (B), 21740096.
    The second author thanks the Department of Mathematics of the University of Kansas for supporting her as a Robert D. Adams Visiting Assistant Professor in the years 2008–2011.
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 15 (2011), 152-159
  • MSC (2010): Primary 37F10; Secondary 31A05
  • DOI:
  • MathSciNet review: 2846305