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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.


On dynamical Teichmüller spaces
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by Carlos Cabrera and Peter Makienko
Conform. Geom. Dyn. 14 (2010), 256-268
Published electronically: October 13, 2010


Following ideas from a preprint of the second author (see Automorphisms of a rational function with disconnected Julia set, Orsay, Preprint, 03 1992), we investigate relations of dynamical Teichmüller spaces with dynamical objects. We also establish some connections with the theory of deformations of inverse limits and laminations in holomorphic dynamics (see J. Diff. Geom. 47 (1997), 17–94).
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  • Mikhail Lyubich and Yair Minsky, Laminations in holomorphic dynamics, J. Differential Geom. 47 (1997), no. 1, 17–94. MR 1601430
  • P. Makienko, Automorphisms of a rational function with disconnected Julia set, Orsay, Preprint, 03 1992.
  • R. Mañé, P. Sad, and D. Sullivan, On the dynamics of rational maps, Ann. Scien. Ec. Norm. Sup., Paris(4) (1983).
  • Curt McMullen, Automorphisms of rational maps, Holomorphic functions and moduli, Vol. I (Berkeley, CA, 1986) Math. Sci. Res. Inst. Publ., vol. 10, Springer, New York, 1988, pp. 31–60. MR 955807, DOI 10.1007/978-1-4613-9602-4_{3}
  • C. McMullen and D. Sullivan, Quasiconformal homeomorphisms and dynamics III: The Teichmüller space of a holomorphic dynamical system, 1998.
  • D. Sullivan, Seminar on conformal and hyperbolic geometry by D. P. Sullivan (Notes by M. Baker and J. Seade), Preprint IHES, 1982.
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Bibliographic Information
  • Carlos Cabrera
  • Affiliation: Instituto de Matematicas UNAM, Av Universidad S/N Col Lomas de Chamilpa Cuernavaca, 62100 Cuernavaca MO, Mexico
  • MR Author ID: 829036
  • Email:
  • Peter Makienko
  • Affiliation: University Nacional Autonoma de Mexico, Institute of Mathematics, Av Universidad s/n, O P 62210 Morelos, Mexico
  • Email:
  • Received by editor(s): November 30, 2009
  • Published electronically: October 13, 2010
  • Additional Notes: This work was partially supported by PAPIIT project IN 100409.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 14 (2010), 256-268
  • MSC (2010): Primary 37F30, 37F10; Secondary 37F50
  • DOI:
  • MathSciNet review: 2729366