The multipliers of periodic points in one-dimensional dynamics
Dynamical Systems
2009-10-30 v2
Abstract
It will be shown that the smooth conjugacy class of an 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.
Keywords
Cite
@article{arxiv.math/9710210,
title = {The multipliers of periodic points in one-dimensional dynamics},
author = {Marco Martens and Welington de Melo},
journal= {arXiv preprint arXiv:math/9710210},
year = {2009}
}