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Title: On non-uniform hyperbolicity assumptions in one-dimensional dynamics
Authors: Li, H.B.
Shen, W.X. 
Keywords: Backward contraction
Interval maps
Large derivatives
Issue Date: 2010
Citation: Li, H.B., Shen, W.X. (2010). On non-uniform hyperbolicity assumptions in one-dimensional dynamics. Science China Mathematics 53 (7) : 1663-1677. ScholarBank@NUS Repository.
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 C3 interval maps with non-flat critical points. © 2010 Science China Press and Springer-Verlag Berlin Heidelberg.
Source Title: Science China Mathematics
ISSN: 16747283
DOI: 10.1007/s11425-010-3134-4
Appears in Collections:Staff Publications

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