BibTeX
@MISC{Chenxin01quasi-symmetricinvariance,
author = {Li Chenxin},
title = {Quasi-symmetric invariance of S-multimodal maps ∗},
year = {2001}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
The Collet-Eckmann condition is crucial in the study of maps with neg-ative Schwarzian derivatives. Therefore, we provided a geometrical charac-terization of Collet-Eckmann condition of the S-multimodal maps and use it proved that Collet-Eckmann condition is a quasi-symmetric (topologi-cal) invariant of S-multimodal maps: if an S-multimodal map f is quasi-symmetrically conjugate to another S-multimodal map g then f satisfies the Collet-Eckmann condition if and only if g satisfies the Collet-Eckmann con-dition.
