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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.


Mating, paper folding, and an endomorphism of $\mathbb {P}\mathbb {C}^2$
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by Volodymyr Nekrashevych
Conform. Geom. Dyn. 20 (2016), 303-358
Published electronically: November 22, 2016


We are studying topological properties of the Julia set of the map $F(z, p)=\left (\left (\frac {2z}{p+1}-1\right )^2, \left (\frac {p-1}{p+1}\right )^2\right )$ of the complex projective plane $\mathbb {P}\mathbb {C}^2$ to itself. We show a relation between this rational function and an uncountable family of “paper folding” plane filling curves.
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Bibliographic Information
  • Received by editor(s): March 2, 2016
  • Received by editor(s) in revised form: September 15, 2016
  • Published electronically: November 22, 2016

  • Dedicated: In memory of Vitaly Sushchansky
  • © Copyright 2016 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 20 (2016), 303-358
  • MSC (2010): Primary 37F15, 37F20
  • DOI:
  • MathSciNet review: 3574443