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Wandering domains for infinitely renormalizable diffeomorphisms of the disk


Authors: Christian Bonatti, Jean-Marc Gambaudo, Jean-Marie Lion and Charles Tresser
Journal: Proc. Amer. Math. Soc. 122 (1994), 1273-1278
MSC: Primary 58F12; Secondary 34C27, 34C28
DOI: https://doi.org/10.1090/S0002-9939-1994-1223264-0
MathSciNet review: 1223264
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Abstract: Denjoy's theorem and counter-example for circle maps have counterparts for infinitely renormalizable diffeomorphisms of the 2-disk.


References [Enhancements On Off] (What's this?)

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  • [GST] J. M. Gambaudo, S. van Strien, and C. Tresser, The periodic orbit structure of orientation preserving diffeomorphisms on $ {\mathbb{D}^2}$ with topological entropy zero, Ann. Inst. H. Poincaré Phys. Théor. 49 (1989), 335-356. MR 1017968 (90j:57008)
  • [S] D. Sullivan, Bounds, quadratic differentials, and renormalization conjectures, Mathematics into the Twenty-first Century, Vol. II, Amer. Math. Soc. Centennial Publication, Amer. Math. Soc., Providence, RI, 1992, pp. 417-466. MR 1184622 (93k:58194)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1223264-0
Article copyright: © Copyright 1994 American Mathematical Society

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