On non-uniform hyperbolicity assumptions in one-dimensional dynamics |
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| Authors: | HuaiBin Li WeiXiao Shen |
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| Institution: | 1. Department of Mathematics, University of Science and Technology of China, Hefei, 230026, China
2. Department of Mathematics, National University of Singapore, Singapore, 117543, Singapore
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| Abstract: | We give an essentially equivalent formulation of the backward contracting property, defined by Juan Rivera-Letelier, in terms of expansion along the orbits of critical values, for complex polynomials of degree at least 2 which are at most finitely renormalizable and have only hyperbolic periodic points, as well as all C 3 interval maps with non-flat critical points. |
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