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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.

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 PDF
Conform. Geom. Dyn. 20 (2016), 303-358 Request permission


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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Additional 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