Institute for Mathematical Sciences

Preprint ims97-12

M. Martens and W. de Melo
The Multipliers of Periodic Points in One-dimensional Dynamics

Abstract: It will be shown that the smooth conjugacy class of an $S-$unimodal map which does not have a periodic attractor neither a Cantor attractor is determined by the multipliers of the periodic orbits. This generalizes a result by M.Shub and D.Sullivan for smooth expanding maps of the circle.
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