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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Li, H., Shen, W. On non-uniform hyperbolicity assumptions in one-dimensional dynamics. Sci. China Math. 53, 1663–1677 (2010). https://doi.org/10.1007/s11425-010-3134-4
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DOI: https://doi.org/10.1007/s11425-010-3134-4