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
- Xavier Buff and Adam L. Epstein, From local to global analytic conjugacies, Ergodic Theory Dynam. Systems 27 (2007), no. 4, 1073–1094. MR 2342966, DOI 10.1017/S0143385707000041
- 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.
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