Dynamics on Ahlfors quasi-circles |
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| Authors: | Jenny Harrison |
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| Institution: | (1) Department of Mathematics, University of California, 94720 Berkeley, CA, USA |
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| Abstract: | The celebrated theory of Denjoy introduced a topological invariant distinguishingC
1 andC
2 diffeomorphisms of the circle. AC
2 diffeomorphism of the circle cannot have an infinite minimal set other than the circle itself. However, this is possible
forC
1 diffeomorphisms. In dimension two there is a related invariant distinguishingC
2 andC
3 diffeomorphisms.
Partially supported by NSF grant No. MCS-83202062. |
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| Keywords: | Quasi-circle minimal set |
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