On non-uniformly hyperbolicity assumptions in one-dimensional dynamics

Details On non-uniformly hyperbolicity assumptions in one-dimensional dynamics On non-uniformly hyperbolicity assumptions in one-dimensional dynamics

2009-11-03

arxiv.org/abs/0911.0464v1

Mathematics

Dynamical Systems

21 pages

Scientific paper

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 two which
are at most finitely renormalizable and have only hyperbolic periodic points,
as well as for all smooth interval maps with non-flat critical points.

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