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Every convex polygon with rational vertices is a rotation set

Published online by Cambridge University Press:  19 September 2008

Jaroslaw Kwapisz
Jaroslaw Kwapisz
Affiliation:
Institute of Mathematics, Warsaw University, Banacha 2, Warsaw 59, Poland
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Abstract

We prove that every convex polygon in ℝ2 with vertices in ℚ2 is a rotation set for some isotopic to identity homeomorphism of the two dimensional terms.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 2 , June 1992 , pp. 333 - 339
Copyright
Copyright © Cambridge University Press 1992

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References

REFERENCES

[F]Franks, J.. Realizing rotation vectors for torus homeomorphisms. Trans. Am. Math. Soc. 311 (1989), 107–115.CrossRefGoogle Scholar
[LM]Llibre, J. & MacKay, R.. Rotation vectors and entropy for homeomorphisms of the torus isotopic to the identity. Ergod. Th. & Synam. Sys. 11 (1991), 115–128.Google Scholar
[MZ1]Misiurewicz, M. & Ziemian, K.. Rotation sets for maps of tori. J. London Math. Soc. (2) 40 (1989), 490–506.Google Scholar
[MZ2]Misiurewicz, M. & Ziemian, K.. Rotation sets and ergodic measures for torus homeomorphisms. Fund. Math. 137 (1991), 45–52.Google Scholar