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Denjoy's theorem with exponents |
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| Authors: | Alec Norton |
| Institution: | Department of Mathematics, University of Texas, Austin, Texas 78712 |
| Abstract: | If  is the (unique) minimal set for a  diffeomorphism of the circle without periodic orbits,  , then the upper box dimension of  is at least  . The method of proof is to introduce the exponent  into the proof of Denjoy's theorem. |
| Keywords: | Box dimension minimal sets Cantor sets circle diffeomorphisms |
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