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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.

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On dynamical Teichmüller spaces
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by Carlos Cabrera and Peter Makienko
Conform. Geom. Dyn. 14 (2010), 256-268
DOI: https://doi.org/10.1090/S1088-4173-2010-00214-6
Published electronically: October 13, 2010
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Abstract:

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).
References
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  • C. McMullen and D. Sullivan, Quasiconformal homeomorphisms and dynamics III: The Teichmüller space of a holomorphic dynamical system, 1998.
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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: carlos@matcuer.unam.mx
  • Peter Makienko
  • Affiliation: University Nacional Autonoma de Mexico, Institute of Mathematics, Av Universidad s/n, O P 62210 Morelos, Mexico
  • Email: makienko@matcuer.unam.mx
  • 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: https://doi.org/10.1090/S1088-4173-2010-00214-6
  • MathSciNet review: 2729366