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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.


Boundary values of the Thurston pullback map
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by Russell Lodge
Conform. Geom. Dyn. 17 (2013), 77-118
Published electronically: June 6, 2013


For any Thurston map with exactly four postcritical points, we present an algorithm to compute the Weil-Petersson boundary values of the corresponding Thurston pullback map. This procedure is carried out for the Thurston map $f(z)=\frac {3z^2}{2z^3+1}$ originally studied by Buff, et al. The dynamics of this boundary map are investigated and used to solve the analogue of Hubbard’s Twisted Rabbit problem for $f$.
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Bibliographic Information
  • Russell Lodge
  • Affiliation: Department of Mathematics, Jacobs University, Bremen, Germany
  • MR Author ID: 1022713
  • Email:
  • Received by editor(s): November 30, 2012
  • Published electronically: June 6, 2013
  • © Copyright 2013 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 17 (2013), 77-118
  • MSC (2010): Primary 37F20
  • DOI:
  • MathSciNet review: 3063048