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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.

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Boundary values of the Thurston pullback map
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by Russell Lodge PDF
Conform. Geom. Dyn. 17 (2013), 77-118 Request permission


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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Additional 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