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The multipliers of periodic points in one-dimensional dynamics

Marco Martens·Welington de Melo
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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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Marco Martens, Welington de Melo. 1998-08-11. The multipliers of periodic points in one-dimensional dynamics. https://doi.org/10.1088/0951-7715%2F12%2F2%2F003

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