Hausdorff dimension of Cantor attractors in one-dimensional dynamics |
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| Authors: | Simin Li Weixiao Shen |
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| Affiliation: | (1) Mathematics Department, University of Science and Technology of China, Hefei, 230026, China |
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| Abstract: | In this paper, we study the Hausdorff dimension of Cantor attractors of smooth interval maps with non-flat critical points. We prove that the Hausdorff dimension is bounded from above by a constant less than 1 which depends only on the number and order of the critical points. |
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