Interval maps quasi-symmetrically conjugated to a piecewise affine map

Abstract

Consider a multimodal interval map $f$ of $C^3$ with non-flat critical points. We establish several characterizations of the map $f$ is quasi-symmetrically conjugated to a piecewise affine map in the case $f$ is topologically exact and all of its periodic points are hyperbolic repelling. In particular, we give a negative answer to a question posted by Henk Bruin in \cite{Bru96}.

arXiv admin note: text overlap with arXiv:1204.3071, arXiv:1005.2640 by other authors

References in corpus (1)

• On the asymptotic expansion of maps with disconnected Julia set