The multipliers of periodic points in one-dimensional dynamics
arXiv:math/9710210 · doi:10.1088/0951-7715/12/2/003
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.